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55954752000 = 293537173179
BaseRepresentation
bin110100000111001010…
…011100001000000000
312100102120201220201020
4310013022130020000
51404043404031000
641412200305440
74020416354520
oct640712341000
9170376656636
1055954752000
1121803aa93a4
12aa17172280
135379655314
1429cb521680
1516c7540ba0
hexd0729c200

55954752000 has 1280 divisors, whose sum is σ = 235322081280. Its totient is φ = 11501568000.

The previous prime is 55954751999. The next prime is 55954752013. The reversal of 55954752000 is 25745955.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 708287961 + ... + 708288039.

It is an arithmetic number, because the mean of its divisors is an integer number (183845376).

Almost surely, 255954752000 is an apocalyptic number.

55954752000 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 55954752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117661040640).

55954752000 is an abundant number, since it is smaller than the sum of its proper divisors (179367329280).

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

55954752000 is a wasteful number, since it uses less digits than its factorization.

55954752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 42.

The spelling of 55954752000 in words is "fifty-five billion, nine hundred fifty-four million, seven hundred fifty-two thousand".