Search a number
-
+
57514995888 = 2437317375641
BaseRepresentation
bin110101100100001010…
…010011000010110000
312111110022121111221220
4311210022103002300
51420242314332023
642231053545040
74104163253520
oct654412230260
9174408544856
1057514995888
1122434796759
12b1917a5180
13556797b55c
142ad8827680
1517694da3e3
hexd642930b0

57514995888 has 160 divisors (see below), whose sum is σ = 177687293952. Its totient is φ = 15684710400.

The previous prime is 57514995887. The next prime is 57514995947. The reversal of 57514995888 is 88859941575.

It is not an unprimeable number, because it can be changed into a prime (57514995887) 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, 722548 + ... + 798188.

Almost surely, 257514995888 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 57514995888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88843646976).

57514995888 is an abundant number, since it is smaller than the sum of its proper divisors (120172298064).

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

57514995888 is a wasteful number, since it uses less digits than its factorization.

57514995888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75763 (or 75757 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 69.

The spelling of 57514995888 in words is "fifty-seven billion, five hundred fourteen million, nine hundred ninety-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 73 84 93 112 124 146 168 186 217 219 248 292 336 372 434 438 496 511 584 651 744 868 876 1022 1168 1302 1488 1533 1736 1752 2044 2263 2604 3066 3472 3504 4088 4526 5208 6132 6789 8176 9052 10416 12264 13578 15841 18104 24528 27156 31682 36208 47523 54312 63364 75641 95046 108624 126728 151282 190092 226923 253456 302564 380184 453846 529487 605128 760368 907692 1058974 1210256 1588461 1815384 2117948 2344871 3176922 3630768 4235896 4689742 5521793 6353844 7034613 8471792 9379484 11043586 12707688 14069226 16414097 16565379 18758968 22087172 25415376 28138452 32828194 33130758 37517936 38652551 44174344 49242291 56276904 65656388 66261516 77305102 88348688 98484582 112553808 115957653 131312776 132523032 154610204 171175583 196969164 231915306 262625552 265046064 309220408 342351166 393938328 463830612 513526749 618440816 684702332 787876656 927661224 1027053498 1198229081 1369404664 1855322448 2054106996 2396458162 2738809328 3594687243 4108213992 4792916324 7189374486 8216427984 9585832648 14378748972 19171665296 28757497944 57514995888