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2115448036 = 22132292612
BaseRepresentation
bin111111000010111…
…0010110011100100
312110102120220011021
41332011302303210
513313023314121
6545525220524
7103265003662
oct17605626344
95412526137
102115448036
1199612a469
124b0561744
13279369400
14160d4bc32
15c5ab9641
hex7e172ce4

2115448036 has 81 divisors (see below), whose sum is σ = 4220886033. Its totient is φ = 927239040.

The previous prime is 2115448019. The next prime is 2115448039. The reversal of 2115448036 is 6308445112.

The square root of 2115448036 is 45994.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2043944100 + 71503936 = 45210^2 + 8456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2115447992 and 2115448010.

It is not an unprimeable number, because it can be changed into a prime (2115448039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34679446 + ... + 34679506.

Almost surely, 22115448036 is an apocalyptic number.

2115448036 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2115448036 is the 45994-th square number.

It is an amenable number.

2115448036 is a deficient number, since it is larger than the sum of its proper divisors (2105437997).

2115448036 is a wasteful number, since it uses less digits than its factorization.

2115448036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The cubic root of 2115448036 is about 1283.7115653718.

The spelling of 2115448036 in words is "two billion, one hundred fifteen million, four hundred forty-eight thousand, thirty-six".

Divisors: 1 2 4 13 26 29 52 58 61 116 122 169 244 338 377 676 754 793 841 1508 1586 1682 1769 3172 3364 3538 3721 4901 7076 7442 9802 10309 10933 14884 19604 20618 21866 22997 41236 43732 45994 48373 51301 91988 96746 102602 107909 142129 193492 205204 215818 284258 298961 431636 568516 597922 628849 666913 1195844 1257698 1333826 1402817 2515396 2667652 2805634 3129361 5611268 6258722 8669869 12517444 17339738 18236621 34679476 36473242 40681693 72946484 81363386 162726772 528862009 1057724018 2115448036