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12055728402496 = 261925324312
BaseRepresentation
bin1010111101101111000101…
…1010001011000001000000
31120200111221102220021100201
42233123301122023001000
53040010112432334441
641350154123054544
72352666121430122
oct257336132130100
946614842807321
1012055728402496
113928895433499
121428593071454
13695b0919338c
142d970101d212
1515d8e564ec31
hexaf6f168b040

12055728402496 has 189 divisors, whose sum is σ = 25793685138333. Its totient is φ = 5589861189120.

The previous prime is 12055728402493. The next prime is 12055728402533. The reversal of 12055728402496 is 69420482755021.

The square root of 12055728402496 is 3472136.

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

It can be written as a sum of positive squares in only one way, i.e., 8690939841600 + 3364788560896 = 2948040^2 + 1834336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12055728402493) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27971527401 + ... + 27971527831.

Almost surely, 212055728402496 is an apocalyptic number.

12055728402496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12055728402496 is the 3472136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12055728402496

12055728402496 is an abundant number, since it is smaller than the sum of its proper divisors (13737956735837).

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

12055728402496 is an frugal number, since it uses more digits than its factorization.

12055728402496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 55.

The spelling of 12055728402496 in words is "twelve trillion, fifty-five billion, seven hundred twenty-eight million, four hundred two thousand, four hundred ninety-six".