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55963483200 = 263552178467
BaseRepresentation
bin110100000111101011…
…101111110001000000
312100110012011111200000
4310013223233301000
51404103122430300
641413111400000
74020553521102
oct640753576100
9170405144600
1055963483200
1121808a22269
12aa1a083000
13537b3c1501
1429cc755572
1516c81b7c00
hexd07aefc40

55963483200 has 504 divisors, whose sum is σ = 218433956832. Its totient is φ = 14044078080.

The previous prime is 55963483171. The next prime is 55963483237. The reversal of 55963483200 is 238436955.

55963483200 is a `hidden beast` number, since 5 + 5 + 9 + 634 + 8 + 3 + 2 + 0 + 0 = 666.

55963483200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×559634832002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6605367 + ... + 6613833.

It is an arithmetic number, because the mean of its divisors is an integer number (433400708).

Almost surely, 255963483200 is an apocalyptic number.

55963483200 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 55963483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109216978416).

55963483200 is an abundant number, since it is smaller than the sum of its proper divisors (162470473632).

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

55963483200 is a wasteful number, since it uses less digits than its factorization.

55963483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8521 (or 8494 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 55963483200 in words is "fifty-five billion, nine hundred sixty-three million, four hundred eighty-three thousand, two hundred".