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55496448000 = 211335373137
BaseRepresentation
bin110011101011110110…
…001001100000000000
312022020122100122211000
4303223312021200000
51402124042314000
641254505252000
74003153011330
oct635366114000
9168218318730
1055496448000
1121599330864
12a909794000
13530570ba16
1429867010c0
15169c1b2000
hexcebd89800

55496448000 has 1536 divisors, whose sum is σ = 248577638400. Its totient is φ = 11943936000.

The previous prime is 55496447971. The next prime is 55496448079. The reversal of 55496448000 is 84469455.

55496448000 is a `hidden beast` number, since 5 + 549 + 64 + 48 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1499903982 + ... + 1499904018.

It is an arithmetic number, because the mean of its divisors is an integer number (161834400).

Almost surely, 255496448000 is an apocalyptic number.

55496448000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55496448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124288819200).

55496448000 is an abundant number, since it is smaller than the sum of its proper divisors (193081190400).

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

55496448000 is a wasteful number, since it uses less digits than its factorization.

55496448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 55496448000 in words is "fifty-five billion, four hundred ninety-six million, four hundred forty-eight thousand".