Search a number
-
+
57162130656240 = 2435289181823621
BaseRepresentation
bin11001111111101000110000…
…11111100000101111110000
321111101122110011112221102010
430333310120133200233300
524443021020421444430
6321323530441322520
715016553612502321
oct1477643037405760
9244348404487363
1057162130656240
11172393615a6115
1264b24a1a96440
1325b849a84a94c
14101893a300448
15691db8dbbcb0
hex33fd187e0bf0

57162130656240 has 80 divisors (see below), whose sum is σ = 177203432959776. Its totient is φ = 15243163622400.

The previous prime is 57162130656193. The next prime is 57162130656271. The reversal of 57162130656240 is 4265603126175.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×571621306562403 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 57162130656240.

It is a congruent number.

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, 68991630 + ... + 69815250.

Almost surely, 257162130656240 is an apocalyptic number.

It is an amenable number.

57162130656240 is an abundant number, since it is smaller than the sum of its proper divisors (120041302303536).

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

57162130656240 is a wasteful number, since it uses less digits than its factorization.

57162130656240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112818 (or 1112812 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 57162130656240 in words is "fifty-seven trillion, one hundred sixty-two billion, one hundred thirty million, six hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 289181 578362 823621 867543 1156724 1445905 1647242 1735086 2313448 2470863 2891810 3294484 3470172 4118105 4337715 4626896 4941726 5783620 6588968 6940344 8236210 8675430 9883452 11567240 12354315 13177936 13880688 16472420 17350860 19766904 23134480 24708630 32944840 34701720 39533808 49417260 65889680 69403440 98834520 197669040 238175544401 476351088802 714526633203 952702177604 1190877722005 1429053266406 1905404355208 2381755444010 2858106532812 3572633166015 3810808710416 4763510888020 5716213065624 7145266332030 9527021776040 11432426131248 14290532664060 19054043552080 28581065328120 57162130656240