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11976832091536 = 24132665532
BaseRepresentation
bin1010111001001001001011…
…0100101000010110010000
31120101222022000120102002121
42232102102310220112100
53032212023003412121
641250025233224024
72344204031024614
oct256222264502620
946358260512077
1011976832091536
1138a8389531314
121415234a02014
1368b544901400
142d5978aa3344
1515b828ee5141
hexae492d28590

11976832091536 has 45 divisors (see below), whose sum is σ = 25127806723299. Its totient is φ = 5527685599488.

The previous prime is 11976832091503. The next prime is 11976832091591. The reversal of 11976832091536 is 63519023867911.

It is a happy number.

The square root of 11976832091536 is 3460756.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6375847201936 + 5600984889600 = 2525044^2 + 2366640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 179926036 + ... + 179992588.

Almost surely, 211976832091536 is an apocalyptic number.

11976832091536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11976832091536 is the 3460756-th square number.

It is an amenable number.

11976832091536 is an abundant number, since it is smaller than the sum of its proper divisors (13150974631763).

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

11976832091536 is an frugal number, since it uses more digits than its factorization.

11976832091536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133140 (or 66568 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 61.

The spelling of 11976832091536 in words is "eleven trillion, nine hundred seventy-six billion, eight hundred thirty-two million, ninety-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 66553 133106 266212 532424 865189 1064848 1730378 3460756 6921512 11247457 13843024 22494914 44989828 89979656 179959312 4429301809 8858603618 17717207236 35434414472 57580923517 70868828944 115161847034 230323694068 460647388136 748552005721 921294776272 1497104011442 2994208022884 5988416045768 11976832091536