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56005765376 = 2811107185873
BaseRepresentation
bin110100001010001101…
…000010100100000000
312100120010201122220112
4310022031002210000
51404144433443001
641421221530452
74021606102541
oct641215024400
9170503648815
1056005765376
112182a881510
12aa30273a28
1353870a6a52
1429d42004c8
1516cbc6acbb
hexd0a342900

56005765376 has 72 divisors (see below), whose sum is σ = 123096171744. Its totient is φ = 25219112960.

The previous prime is 56005765351. The next prime is 56005765421. The reversal of 56005765376 is 67356750065.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208376 + ... + 394248.

It is an arithmetic number, because the mean of its divisors is an integer number (1709669052).

Almost surely, 256005765376 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 56005765376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61548085872).

56005765376 is an abundant number, since it is smaller than the sum of its proper divisors (67090406368).

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

56005765376 is a wasteful number, since it uses less digits than its factorization.

56005765376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186007 (or 185993 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 50.

The spelling of 56005765376 in words is "fifty-six billion, five million, seven hundred sixty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 107 128 176 214 256 352 428 704 856 1177 1408 1712 2354 2816 3424 4708 6848 9416 13696 18832 27392 37664 75328 150656 185873 301312 371746 743492 1486984 2044603 2973968 4089206 5947936 8178412 11895872 16356824 19888411 23791744 32713648 39776822 47583488 65427296 79553644 130854592 159107288 218772521 261709184 318214576 437545042 523418368 636429152 875090084 1272858304 1750180168 2545716608 3500360336 5091433216 7000720672 14001441344 28002882688 56005765376