Search a number
-
+
51231431243656 = 23177118012945951
BaseRepresentation
bin10111010011000001111110…
…10000101011011110001000
320201101200021112021222200201
423221200333100223132020
523203333432344244111
6300543221122341544
713535230424324056
oct1351407720533610
9221350245258621
1051231431243656
1115362145377804
1258b4bb27ba8b4
132278145a705c1
14c918862a31d6
155dc9a8e3b6c1
hex2e983f42b788

51231431243656 has 64 divisors (see below), whose sum is σ = 103199290997760. Its totient is φ = 23756140800000.

The previous prime is 51231431243617. The next prime is 51231431243683. The reversal of 51231431243656 is 65634213413215.

It is a happy number.

51231431243656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×512314312436563 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15917481 + ... + 18863431.

It is an arithmetic number, because the mean of its divisors is an integer number (1612488921840).

Almost surely, 251231431243656 is an apocalyptic number.

It is an amenable number.

51231431243656 is an abundant number, since it is smaller than the sum of its proper divisors (51967859754104).

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

51231431243656 is a wasteful number, since it uses less digits than its factorization.

51231431243656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947846 (or 2947842 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 46.

The spelling of 51231431243656 in words is "fifty-one trillion, two hundred thirty-one billion, four hundred thirty-one million, two hundred forty-three thousand, six hundred fifty-six".

Divisors: 1 2 4 8 17 34 68 71 136 142 284 568 1207 1801 2414 3602 4828 7204 9656 14408 30617 61234 122468 127871 244936 255742 511484 1022968 2173807 2945951 4347614 5891902 8695228 11783804 17390456 23567608 50081167 100162334 200324668 209162521 400649336 418325042 836650084 1673300168 3555762857 5305657751 7111525714 10611315502 14223051428 21222631004 28446102856 42445262008 90196181767 180392363534 360784727068 376701700321 721569454136 753403400642 1506806801284 3013613602568 6403928905457 12807857810914 25615715621828 51231431243656