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12496530672 = 2432647134129
BaseRepresentation
bin10111010001101100…
…11110110011110000
31012020220102112101100
423220312132303300
5201043102440142
65424004004400
7621450521013
oct135066366360
935226375340
1012496530672
115332a694aa
122509090700
131241ca3762
1486794d37a
154d2150b4c
hex2e8d9ecf0

12496530672 has 60 divisors (see below), whose sum is σ = 35027244720. Its totient is φ = 4159041024.

The previous prime is 12496530659. The next prime is 12496530677. The reversal of 12496530672 is 27603569421.

12496530672 is a `hidden beast` number, since 1 + 2 + 49 + 6 + 530 + 6 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12496530677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26104 + ... + 160232.

It is an arithmetic number, because the mean of its divisors is an integer number (583787412).

Almost surely, 212496530672 is an apocalyptic number.

12496530672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12496530672 is an abundant number, since it is smaller than the sum of its proper divisors (22530714048).

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

12496530672 is a wasteful number, since it uses less digits than its factorization.

12496530672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134790 (or 134781 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 12496530672 in words is "twelve billion, four hundred ninety-six million, five hundred thirty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 647 1294 1941 2588 3882 5176 5823 7764 10352 11646 15528 23292 31056 46584 93168 134129 268258 402387 536516 804774 1073032 1207161 1609548 2146064 2414322 3219096 4828644 6438192 9657288 19314576 86781463 173562926 260344389 347125852 520688778 694251704 781033167 1041377556 1388503408 1562066334 2082755112 3124132668 4165510224 6248265336 12496530672