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57229761501056 = 279743110694561
BaseRepresentation
bin11010000001100110101111…
…00110101101011110000000
321111122010000110220211100102
431000303113212231132000
530000123022421013211
6321414553421141532
715024466561263104
oct1500632746553600
9244563013824312
1057229761501056
11172650074328a1
1265036173ba8a8
1325c19881b9011
14101bd14405904
15693a264eaa3b
hex340cd79ad780

57229761501056 has 64 divisors (see below), whose sum is σ = 115455069092160. Its totient is φ = 28254171955200.

The previous prime is 57229761501037. The next prime is 57229761501089. The reversal of 57229761501056 is 65010516792275.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 57229761500992 and 57229761501010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4016 + ... + 10698576.

It is an arithmetic number, because the mean of its divisors is an integer number (1803985454565).

Almost surely, 257229761501056 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 57229761501056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57727534546080).

57229761501056 is an abundant number, since it is smaller than the sum of its proper divisors (58225307591104).

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

57229761501056 is a wasteful number, since it uses less digits than its factorization.

57229761501056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10695103 (or 10695091 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 56.

The spelling of 57229761501056 in words is "fifty-seven trillion, two hundred twenty-nine billion, seven hundred sixty-one million, five hundred one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 431 776 862 1552 1724 3104 3448 6208 6896 12416 13792 27584 41807 55168 83614 167228 334456 668912 1337824 2675648 5351296 10694561 21389122 42778244 85556488 171112976 342225952 684451904 1037372417 1368903808 2074744834 4149489668 4609355791 8298979336 9218711582 16597958672 18437423164 33195917344 36874846328 66391834688 73749692656 132783669376 147499385312 294998770624 447107511727 589997541248 894215023454 1788430046908 3576860093816 7153720187632 14307440375264 28614880750528 57229761501056