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55757210114496 = 2631131767223859
BaseRepresentation
bin11001010110101111111001…
…01100111101100111000000
321022102100002211200201121110
430223113330230331213000
524302011231242130441
6314330301514323320
714513216434103442
oct1453277454754700
9238370084621543
1055757210114496
1116847555582000
126306154a29540
132515b616b5b17
14daa9403d8492
1566a58dc9db16
hex32b5fcb3d9c0

55757210114496 has 896 divisors, whose sum is σ = 175360863928320. Its totient is φ = 15576487280640.

The previous prime is 55757210114477. The next prime is 55757210114509. The reversal of 55757210114496 is 69441101275755.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64909440915 + ... + 64909441773.

It is an arithmetic number, because the mean of its divisors is an integer number (195715249920).

Almost surely, 255757210114496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55757210114496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87680431964160).

55757210114496 is an abundant number, since it is smaller than the sum of its proper divisors (119603653813824).

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

55757210114496 is a wasteful number, since it uses less digits than its factorization.

55757210114496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 57.

The spelling of 55757210114496 in words is "fifty-five trillion, seven hundred fifty-seven billion, two hundred ten million, one hundred fourteen thousand, four hundred ninety-six".