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38674680552 = 23385771277
BaseRepresentation
bin100100000001001100…
…001100101011101000
310200211022020100000000
4210001030030223220
51113201204234202
625433352343000
72536252234464
oct440114145350
9120738210000
1038674680552
1115446937a12
1275b40a4a60
133854620b81
141c2c5794a4
15101549491c
hex90130cae8

38674680552 has 144 divisors (see below), whose sum is σ = 109040838660. Its totient is φ = 12859140096.

The previous prime is 38674680497. The next prime is 38674680563. The reversal of 38674680552 is 25508647683.

38674680552 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 4 + 6 + 80 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31928686596 + 6745993956 = 178686^2 + 82134^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30284938 + ... + 30286214.

Almost surely, 238674680552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38674680552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54520419330).

38674680552 is an abundant number, since it is smaller than the sum of its proper divisors (70366158108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38674680552 is an equidigital number, since it uses as much as digits as its factorization.

38674680552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 38674680552 in words is "thirty-eight billion, six hundred seventy-four million, six hundred eighty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 577 648 729 972 1154 1277 1458 1731 1944 2187 2308 2554 2916 3462 3831 4374 4616 5108 5193 5832 6561 6924 7662 8748 10216 10386 11493 13122 13848 15324 15579 17496 20772 22986 26244 30648 31158 34479 41544 45972 46737 52488 62316 68958 91944 93474 103437 124632 137916 140211 186948 206874 275832 280422 310311 373896 413748 420633 560844 620622 736829 827496 841266 930933 1121688 1241244 1261899 1473658 1682532 1861866 2210487 2482488 2523798 2792799 2947316 3365064 3723732 3785697 4420974 5047596 5585598 5894632 6631461 7447464 7571394 8378397 8841948 10095192 11171196 13262922 15142788 16756794 17683896 19894383 22342392 26525844 30285576 33513588 39788766 53051688 59683149 67027176 79577532 119366298 159155064 179049447 238732596 358098894 477465192 537148341 716197788 1074296682 1432395576 1611445023 2148593364 3222890046 4297186728 4834335069 6445780092 9668670138 12891560184 19337340276 38674680552