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57437586081824 = 25131372626138377
BaseRepresentation
bin11010000111101001110101…
…11010100100100000100000
321112100222110010112101210112
431003310322322210200200
530012024134014104244
6322054243543150452
715045504633130664
oct1503647272444040
9245328403471715
1057437586081824
1117335163a48373
126537957445428
1326084585bc430
141027dcb76a8a4
1569913b86939e
hex343d3aea4820

57437586081824 has 96 divisors (see below), whose sum is σ = 122675491609776. Its totient is φ = 26314466181120.

The previous prime is 57437586081781. The next prime is 57437586081899. The reversal of 57437586081824 is 42818068573475.

It can be written as a sum of positive squares in 8 ways, for example, as 506516890000 + 56931069191824 = 711700^2 + 7545268^2 .

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, 1496647724 + ... + 1496686100.

Almost surely, 257437586081824 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 57437586081824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61337745804888).

57437586081824 is an abundant number, since it is smaller than the sum of its proper divisors (65237905527952).

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

57437586081824 is a wasteful number, since it uses less digits than its factorization.

57437586081824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64798 (or 64790 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 68.

The spelling of 57437586081824 in words is "fifty-seven trillion, four hundred thirty-seven billion, five hundred eighty-six million, eighty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 137 208 274 416 548 1096 1781 2192 3562 4384 7124 14248 26261 28496 38377 52522 56992 76754 105044 153508 210088 307016 341393 420176 498901 614032 682786 840352 997802 1228064 1365572 1995604 2731144 3597757 3991208 5257649 5462288 7195514 7982416 10515298 10924576 14391028 15964832 21030596 28782056 42061192 46770841 57564112 68349437 84122384 93541682 115128224 136698874 168244768 187083364 273397748 374166728 546795496 748333456 1007818397 1093590992 1496666912 2015636794 2187181984 4031273588 8062547176 13101639161 16125094352 26203278322 32250188704 52406556644 104813113288 138071120389 209626226576 276142240778 419252453152 552284481556 1104568963112 1794924565057 2209137926224 3589849130114 4418275852448 7179698260228 14359396520456 28718793040912 57437586081824