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126231986952 = 2334194802449
BaseRepresentation
bin111010110010000000…
…0110100001100001000
3110001211022202100110000
41311210000310030020
54032010342040302
6133553513323000
712056101120401
oct1654400641410
9401738670400
10126231986952
1149597736165
122056aa06460
13bb99359906
146176ca29a8
15343c16531c
hex1d64034308

126231986952 has 40 divisors (see below), whose sum is σ = 353566446750. Its totient is φ = 42077328768.

The previous prime is 126231986941. The next prime is 126231986963. The reversal of 126231986952 is 259689132621.

126231986952 is a `hidden beast` number, since 1 + 2 + 623 + 1 + 9 + 8 + 6 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (126231986941) and next prime (126231986963).

It can be written as a sum of positive squares in only one way, i.e., 79832242116 + 46399744836 = 282546^2 + 215406^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 97400577 + ... + 97401872.

Almost surely, 2126231986952 is an apocalyptic number.

126231986952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126231986952 is an abundant number, since it is smaller than the sum of its proper divisors (227334459798).

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

126231986952 is a wasteful number, since it uses less digits than its factorization.

126231986952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194802467 (or 194802454 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 126231986952 in words is "one hundred twenty-six billion, two hundred thirty-one million, nine hundred eighty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 194802449 389604898 584407347 779209796 1168814694 1558419592 1753222041 2337629388 3506444082 4675258776 5259666123 7012888164 10519332246 14025776328 15778998369 21038664492 31557996738 42077328984 63115993476 126231986952