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76504585536 = 263431476059
BaseRepresentation
bin100011101000000000…
…1110101010101000000
321022110201212121210000
41013100001311111000
52223140133214121
655051250440000
75345566150611
oct1072001652500
9238421777700
1076504585536
112a4999314a5
12129b1293000
1372a2c12732
1439ba851c08
151ecb6ba526
hex11d0075540

76504585536 has 140 divisors (see below), whose sum is σ = 234099648640. Its totient is φ = 24678846720.

The previous prime is 76504585517. The next prime is 76504585543. The reversal of 76504585536 is 63558540567.

It is a happy number.

76504585536 is a `hidden beast` number, since 7 + 6 + 5 + 0 + 4 + 585 + 53 + 6 = 666.

It is a super-3 number, since 3×765045855363 (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 77326 + ... + 398733.

Almost surely, 276504585536 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 76504585536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117049824320).

76504585536 is an abundant number, since it is smaller than the sum of its proper divisors (157595063104).

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

76504585536 is a wasteful number, since it uses less digits than its factorization.

76504585536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476114 (or 476095 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 76504585536 in words is "seventy-six billion, five hundred four million, five hundred eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 744 837 864 992 1116 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 4464 5022 5184 5952 6696 8928 10044 13392 17856 20088 26784 40176 53568 80352 160704 476059 952118 1428177 1904236 2856354 3808472 4284531 5712708 7616944 8569062 11425416 12853593 14757829 15233888 17138124 22850832 25707186 29515658 30467776 34276248 38560779 44273487 45701664 51414372 59031316 68552496 77121558 88546974 91403328 102828744 118062632 132820461 137104992 154243116 177093948 205657488 236125264 265640922 274209984 308486232 354187896 398461383 411314976 472250528 531281844 616972464 708375792 796922766 822629952 944501056 1062563688 1195384149 1233944928 1416751584 1593845532 2125127376 2390768298 2467889856 2833503168 3187691064 4250254752 4781536596 6375382128 8500509504 9563073192 12750764256 19126146384 25501528512 38252292768 76504585536