Search a number
-
+
57042618154288 = 24131943919365257
BaseRepresentation
bin11001111100001010001001…
…11111011111110100110000
321110222012222010200210111221
430332011010333133310300
524434041240221414123
6321153003401514424
715005123153134114
oct1476050477376460
9243865863623457
1057042618154288
11171a2702939548
1264932a94a2a14
1325aa13265c080
141012c3da17744
1568dc21b1025d
hex33e144fdfd30

57042618154288 has 160 divisors (see below), whose sum is σ = 128339388531200. Its totient is φ = 24335096260608.

The previous prime is 57042618154283. The next prime is 57042618154351. The reversal of 57042618154288 is 88245181624075.

It is not an unprimeable number, because it can be changed into a prime (57042618154283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155988556 + ... + 156353812.

It is an arithmetic number, because the mean of its divisors is an integer number (802121178320).

Almost surely, 257042618154288 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 57042618154288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64169694265600).

57042618154288 is an abundant number, since it is smaller than the sum of its proper divisors (71296770376912).

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

57042618154288 is a wasteful number, since it uses less digits than its factorization.

57042618154288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366259 (or 366253 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 61.

The spelling of 57042618154288 in words is "fifty-seven trillion, forty-two billion, six hundred eighteen million, one hundred fifty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 19 26 38 43 52 76 86 104 152 172 208 247 304 344 494 559 688 817 919 988 1118 1634 1838 1976 2236 3268 3676 3952 4472 6536 7352 8944 10621 11947 13072 14704 17461 21242 23894 34922 39517 42484 47788 69844 79034 84968 95576 139688 158068 169936 191152 226993 279376 316136 365257 453986 513721 632272 730514 750823 907972 1027442 1461028 1501646 1815944 2054884 2922056 3003292 3631888 4109768 4748341 5844112 6006584 6939883 8219536 9496682 9760699 12013168 13879766 15706051 18993364 19521398 27759532 31412102 37986728 39042796 55519064 62824204 75973456 78085592 90218479 111038128 125648408 156171184 180436958 204178663 251296816 298414969 335671183 360873916 408357326 596829938 671342366 721747832 816714652 1193659876 1342684732 1443495664 1633429304 2387319752 2685369464 3266858608 3879394597 4363725379 4774639504 5370738928 6377752477 7758789194 8727450758 12755504954 14433860869 15517578388 17454901516 25511009908 28867721738 31035156776 34909803032 51022019816 57735443476 62070313552 69819606064 82910782201 102044039632 115470886952 165821564402 187640191297 230941773904 274243356511 331643128804 375280382594 548486713022 663286257608 750560765188 1096973426044 1326572515216 1501121530376 2193946852088 3002243060752 3565163634643 4387893704176 7130327269286 14260654538572 28521309077144 57042618154288