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55987008000 = 293537211541
BaseRepresentation
bin110100001001000101…
…011111001000000000
312100111211102200121220
4310021011133020000
51404130133224000
641415311515040
74021260500400
oct641105371000
9170454380556
1055987008000
112182022a850
12aa25b28a80
13538323a101
1429d191a800
1516ca2b31a0
hexd0915f200

55987008000 has 960 divisors, whose sum is σ = 236654960256. Its totient is φ = 11612160000.

The previous prime is 55987007969. The next prime is 55987008013. The reversal of 55987008000 is 80078955.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103487730 + ... + 103488270.

Almost surely, 255987008000 is an apocalyptic number.

55987008000 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 55987008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118327480128).

55987008000 is an abundant number, since it is smaller than the sum of its proper divisors (180667952256).

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

55987008000 is a wasteful number, since it uses less digits than its factorization.

55987008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 55987008000 in words is "fifty-five billion, nine hundred eighty-seven million, eight thousand".