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56097393576 = 23372385916901
BaseRepresentation
bin110100001111101010…
…100100101110101000
312100210112010212011120
4310033222210232220
51404341413043301
641434253455240
74024100656260
oct641752445650
9170715125146
1056097393576
11218775750a4
12aa56aa1520
1353a0078b13
142a024527a0
1516d4d19e36
hexd0faa4ba8

56097393576 has 128 divisors (see below), whose sum is σ = 167451494400. Its totient is φ = 15312211200.

The previous prime is 56097393563. The next prime is 56097393629. The reversal of 56097393576 is 67539379065.

56097393576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3310726 + ... + 3327626.

It is an arithmetic number, because the mean of its divisors is an integer number (1308214800).

Almost surely, 256097393576 is an apocalyptic number.

56097393576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56097393576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83725747200).

56097393576 is an abundant number, since it is smaller than the sum of its proper divisors (111354100824).

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

56097393576 is a wasteful number, since it uses less digits than its factorization.

56097393576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17799 (or 17795 counting only the distinct ones).

The product of its (nonzero) digits is 32148900, while the sum is 60.

The spelling of 56097393576 in words is "fifty-six billion, ninety-seven million, three hundred ninety-three thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 859 966 1288 1718 1932 2577 3436 3864 5154 6013 6872 10308 12026 16901 18039 19757 20616 24052 33802 36078 39514 48104 50703 59271 67604 72156 79028 101406 118307 118542 135208 138299 144312 158056 202812 236614 237084 276598 354921 388723 405624 414897 473228 474168 553196 709842 777446 829794 946456 1106392 1166169 1419684 1554892 1659588 2332338 2721061 2839368 3109784 3319176 4664676 5442122 8163183 9329352 10884244 14517959 16326366 21768488 29035918 32652732 43553877 58071836 65305464 87107754 101625713 116143672 174215508 203251426 304877139 333913057 348431016 406502852 609754278 667826114 813005704 1001739171 1219508556 1335652228 2003478342 2337391399 2439017112 2671304456 4006956684 4674782798 7012174197 8013913368 9349565596 14024348394 18699131192 28048696788 56097393576