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55608711400 = 235211315691433
BaseRepresentation
bin110011110010100010…
…011001100011101000
312022112110121020020201
4303302202121203220
51402341312231100
641313555401544
74006015151014
oct636242314350
9168473536221
1055608711400
1121646738a30
12a93b2b32b4
135322a57378
1429975a5544
1516a6e8a36a
hexcf28998e8

55608711400 has 192 divisors, whose sum is σ = 145951372800. Its totient is φ = 19521024000.

The previous prime is 55608711371. The next prime is 55608711443. The reversal of 55608711400 is 411780655.

It is a self number, because there is not a number n which added to its sum of digits gives 55608711400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38805084 + ... + 38806516.

It is an arithmetic number, because the mean of its divisors is an integer number (760163400).

Almost surely, 255608711400 is an apocalyptic number.

55608711400 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 55608711400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72975686400).

55608711400 is an abundant number, since it is smaller than the sum of its proper divisors (90342661400).

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

55608711400 is a wasteful number, since it uses less digits than its factorization.

55608711400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The spelling of 55608711400 in words is "fifty-five billion, six hundred eight million, seven hundred eleven thousand, four hundred".