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39224643872 = 2515722232
BaseRepresentation
bin100100100001111110…
…001001000100100000
310202020122002100211212
4210201332021010200
51120313002100442
630004120125252
72556010654211
oct444176110440
9122218070755
1039224643872
11156a931a557
127728306828
13391154a75b
141c81619408
1510488cba82
hex921f89120

39224643872 has 54 divisors (see below), whose sum is σ = 78068596473. Its totient is φ = 19400015232.

The previous prime is 39224643827. The next prime is 39224643901. The reversal of 39224643872 is 27834642293.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 37467022096 + 1757621776 = 193564^2 + 41924^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=140044.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 39224643872.

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 8 ways as a sum of consecutive naturals, for example, 175895153 + ... + 175895375.

Almost surely, 239224643872 is an apocalyptic number.

39224643872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

39224643872 is a deficient number, since it is larger than the sum of its proper divisors (38843952601).

39224643872 is an frugal number, since it uses more digits than its factorization.

39224643872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 382 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 50.

Multiplying 39224643872 by its sum of digits (50), we get a square (1961232193600 = 14004402).

The spelling of 39224643872 in words is "thirty-nine billion, two hundred twenty-four million, six hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 157 223 314 446 628 892 1256 1784 2512 3568 5024 7136 24649 35011 49298 49729 70022 98596 99458 140044 197192 198916 280088 394384 397832 560176 788768 795664 1120352 1591328 5496727 7807453 10993454 15614906 21986908 31229812 43973816 62459624 87947632 124919248 175895264 249838496 1225770121 2451540242 4903080484 9806160968 19612321936 39224643872