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55984511232 = 28331323103263
BaseRepresentation
bin110100001000111011…
…111101100100000000
312100111122201211201000
4310020323331210000
51404124013324412
641415142212000
74021230331236
oct641073754400
9170448654630
1055984511232
1121819884a01
12aa25124000
135382874830
1429d146a956
1516c9e6d4dc
hexd08efd900

55984511232 has 576 divisors, whose sum is σ = 188563415040. Its totient is φ = 16255033344.

The previous prime is 55984511227. The next prime is 55984511243. The reversal of 55984511232 is 23211548955.

55984511232 is a `hidden beast` number, since 5 + 59 + 84 + 511 + 2 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212868733 + ... + 212868995.

It is an arithmetic number, because the mean of its divisors is an integer number (327367040).

Almost surely, 255984511232 is an apocalyptic number.

55984511232 is a gapful number since it is divisible by the number (52) 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 55984511232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94281707520).

55984511232 is an abundant number, since it is smaller than the sum of its proper divisors (132578903808).

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

55984511232 is a wasteful number, since it uses less digits than its factorization.

55984511232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 407 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 55984511232 in words is "fifty-five billion, nine hundred eighty-four million, five hundred eleven thousand, two hundred thirty-two".