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30996655200 = 25325272103853
BaseRepresentation
bin11100110111100010…
…110110110001100000
32222000012200020021200
4130313202312301200
51001440120431300
622123433521200
72145061136100
oct346742666140
988005606250
1030996655200
1112166892915
126010873200
132bcca009c4
141700965200
15c16399200
hex7378b6c60

30996655200 has 648 divisors, whose sum is σ = 128532117168. Its totient is φ = 7007938560.

The previous prime is 30996655163. The next prime is 30996655201. The reversal of 30996655200 is 255669903.

30996655200 is a `hidden beast` number, since 3 + 0 + 9 + 96 + 6 + 552 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30996655201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 36337974 + ... + 36338826.

Almost surely, 230996655200 is an apocalyptic number.

30996655200 is a gapful number since it is divisible by the number (30) 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 30996655200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64266058584).

30996655200 is an abundant number, since it is smaller than the sum of its proper divisors (97535461968).

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

30996655200 is a wasteful number, since it uses less digits than its factorization.

30996655200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 30996655200 in words is "thirty billion, nine hundred ninety-six million, six hundred fifty-five thousand, two hundred".