Search a number
-
+
57060000504 = 23331342974729
BaseRepresentation
bin110101001001000010…
…101000001011111000
312110021121110100122000
4311021002220023320
51413324330004004
642114001501000
74060000000413
oct651102501370
9173247410560
1057060000504
1122220978a11
12b085341760
1354c4622c10
142a94228b7a
15173e5b1c39
hexd490a82f8

57060000504 has 128 divisors (see below), whose sum is σ = 170768136000. Its totient is φ = 17549125632.

The previous prime is 57060000479. The next prime is 57060000521. The reversal of 57060000504 is 40500006075.

57060000504 is a `hidden beast` number, since 5 + 7 + 0 + 600 + 0 + 0 + 50 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12063612 + ... + 12068340.

Almost surely, 257060000504 is an apocalyptic number.

57060000504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

57060000504 is the 127683-rd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57060000504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85384068000).

57060000504 is an abundant number, since it is smaller than the sum of its proper divisors (113708135496).

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

57060000504 is a wasteful number, since it uses less digits than its factorization.

57060000504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9054 (or 9044 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 57060000504 its reverse (40500006075), we get a palindrome (97560006579).

The spelling of 57060000504 in words is "fifty-seven billion, sixty million, five hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 4297 4729 8594 9458 12891 14187 17188 18916 25782 28374 34376 37832 38673 42561 51564 55861 56748 61477 77346 85122 103128 111722 113496 116019 122954 127683 154692 167583 170244 184431 223444 232038 245908 255366 309384 335166 340488 368862 446888 464076 491816 502749 510732 553293 670332 737724 928152 1005498 1021464 1106586 1340664 1475448 1508247 1659879 2010996 2213172 3016494 3319758 4021992 4426344 6032988 6639516 12065976 13279032 20320513 40641026 60961539 81282052 121923078 162564104 182884617 243846156 264166669 365769234 487692312 528333338 548653851 731538468 792500007 1056666676 1097307702 1463076936 1585000014 2113333352 2194615404 2377500021 3170000028 4389230808 4755000042 6340000056 7132500063 9510000084 14265000126 19020000168 28530000252 57060000504