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520131744768 = 21031171144589
BaseRepresentation
bin1111001000110100100…
…01001001010000000000
31211201112212122022100010
413210122101021100000
532010212211313033
61034540100224520
752402230611646
oct7443221112000
91751485568303
10520131744768
1119064a8a0299
128497b09b140
133a081c0239c
141b262c01196
15d7e3224863
hex791a449400

520131744768 has 88 divisors (see below), whose sum is σ = 1387534222240. Its totient is φ = 173227991040.

The previous prime is 520131744767. The next prime is 520131744799. The reversal of 520131744768 is 867447131025.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520131744767) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3525018 + ... + 3669606.

Almost surely, 2520131744768 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 520131744768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693767111120).

520131744768 is an abundant number, since it is smaller than the sum of its proper divisors (867402477472).

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

520131744768 is a wasteful number, since it uses less digits than its factorization.

520131744768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145783 (or 145765 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 520131744768 in words is "five hundred twenty billion, one hundred thirty-one million, seven hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1171 1536 2342 3072 3513 4684 7026 9368 14052 18736 28104 37472 56208 74944 112416 144589 149888 224832 289178 299776 433767 449664 578356 599552 867534 899328 1156712 1199104 1735068 1798656 2313424 3470136 3597312 4626848 6940272 9253696 13880544 18507392 27761088 37014784 55522176 74029568 111044352 148059136 169313719 222088704 338627438 444177408 507941157 677254876 1015882314 1354509752 2031764628 2709019504 4063529256 5418039008 8127058512 10836078016 16254117024 21672156032 32508234048 43344312064 65016468096 86688624128 130032936192 173377248256 260065872384 520131744768