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55922380800 = 21235211131967
BaseRepresentation
bin110100000101001110…
…111101000000000000
312100100022211021202220
4310011032331000000
51404012112141200
641405042411040
74016544252036
oct640516750000
9170308737686
1055922380800
11217977a9440
12aa08360a80
135372a2cc70
1429c70d6556
1516c47994a0
hexd053bd000

55922380800 has 1248 divisors, whose sum is σ = 232063480320. Its totient is φ = 11678515200.

The previous prime is 55922380771. The next prime is 55922380831. The reversal of 55922380800 is 808322955.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a congruent number.

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, 834662367 + ... + 834662433.

Almost surely, 255922380800 is an apocalyptic number.

55922380800 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 55922380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116031740160).

55922380800 is an abundant number, since it is smaller than the sum of its proper divisors (176141099520).

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

55922380800 is a wasteful number, since it uses less digits than its factorization.

55922380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 55922380800 in words is "fifty-five billion, nine hundred twenty-two million, three hundred eighty thousand, eight hundred".