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51013957253568 = 2631273769555083
BaseRepresentation
bin10111001100101100111001…
…10011001111100111000000
320200121212221101121122010020
423212112130303033213000
523141303041024103233
6300255253300133440
713513431263031411
oct1346263463174700
9220555841548106
1051013957253568
1115288996a36191
12587aa1b097280
1322607984b1a2a
14c8513559b808
155d6ecb8b39b3
hex2e659cccf9c0

51013957253568 has 112 divisors (see below), whose sum is σ = 136073558200320. Its totient is φ = 16866250942464.

The previous prime is 51013957253549. The next prime is 51013957253573. The reversal of 51013957253568 is 86535275931015.

It is a super-2 number, since 2×510139572535682 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91625755 + ... + 92180837.

Almost surely, 251013957253568 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 51013957253568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68036779100160).

51013957253568 is an abundant number, since it is smaller than the sum of its proper divisors (85059600946752).

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

51013957253568 is a wasteful number, since it uses less digits than its factorization.

51013957253568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558994 (or 558984 counting only the distinct ones).

The product of its (nonzero) digits is 34020000, while the sum is 60.

The spelling of 51013957253568 in words is "fifty-one trillion, thirteen billion, nine hundred fifty-seven million, two hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2032 3048 3769 4064 6096 7538 8128 11307 12192 15076 22614 24384 30152 45228 60304 90456 120608 180912 241216 361824 478663 555083 723648 957326 1110166 1435989 1665249 1914652 2220332 2871978 3330498 3829304 4440664 5743956 6660996 7658608 8881328 11487912 13321992 15317216 17762656 22975824 26643984 30634432 35525312 45951648 53287968 70495541 91903296 106575936 140991082 211486623 281982164 422973246 563964328 845946492 1127928656 1691892984 2092107827 2255857312 3383785968 4184215654 4511714624 6276323481 6767571936 8368431308 12552646962 13535143872 16736862616 25105293924 33473725232 50210587848 66947450464 100421175696 133894900928 200842351392 265697694029 401684702784 531395388058 797093082087 1062790776116 1594186164174 2125581552232 3188372328348 4251163104464 6376744656696 8502326208928 12753489313392 17004652417856 25506978626784 51013957253568