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45631173312 = 2633157168197
BaseRepresentation
bin101010011111110101…
…000111001011000000
311100210010002210002000
4222133311013023000
51221423040021222
632543534224000
73203532400464
oct523765071300
9140703083060
1045631173312
111839667598a
128a15955000
1343c2902a8a
1422cc40c4a4
1512c10679ac
hexa9fd472c0

45631173312 has 112 divisors (see below), whose sum is σ = 135002442720. Its totient is φ = 15113419776.

The previous prime is 45631173307. The next prime is 45631173317. The reversal of 45631173312 is 21337113654.

45631173312 is a `hidden beast` number, since 4 + 5 + 6 + 311 + 7 + 331 + 2 = 666.

45631173312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45631173307) and next prime (45631173317).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45631173317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187198 + ... + 355394.

Almost surely, 245631173312 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 45631173312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67501221360).

45631173312 is an abundant number, since it is smaller than the sum of its proper divisors (89371269408).

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

45631173312 is a wasteful number, since it uses less digits than its factorization.

45631173312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168375 (or 168359 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

Adding to 45631173312 its reverse (21337113654), we get a palindrome (66968286966).

The spelling of 45631173312 in words is "forty-five billion, six hundred thirty-one million, one hundred seventy-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 157 192 216 288 314 432 471 576 628 864 942 1256 1413 1728 1884 2512 2826 3768 4239 5024 5652 7536 8478 10048 11304 15072 16956 22608 30144 33912 45216 67824 90432 135648 168197 271296 336394 504591 672788 1009182 1345576 1513773 2018364 2691152 3027546 4036728 4541319 5382304 6055092 8073456 9082638 10764608 12110184 16146912 18165276 24220368 26406929 32293824 36330552 48440736 52813858 72661104 79220787 96881472 105627716 145322208 158441574 211255432 237662361 290644416 316883148 422510864 475324722 633766296 712987083 845021728 950649444 1267532592 1425974166 1690043456 1901298888 2535065184 2851948332 3802597776 5070130368 5703896664 7605195552 11407793328 15210391104 22815586656 45631173312