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30817996425216 = 21133711132973263
BaseRepresentation
bin1110000000111010111111…
…01110101100100000000000
311001010011122011021121211000
413000131133232230200000
513014410224041101331
6145313331521252000
76330345452314230
oct700353756544000
9131104564247730
1030817996425216
119901925616440
123558898794000
131427180967030
1478785588bcc0
153869a7eba0e6
hex1c075fbac800

30817996425216 has 3072 divisors, whose sum is σ = 129023870976000. Its totient is φ = 7009657159680.

The previous prime is 30817996425179. The next prime is 30817996425217. The reversal of 30817996425216 is 61252469971803.

30817996425216 is a `hidden beast` number, since 3 + 0 + 8 + 17 + 9 + 96 + 4 + 2 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (30817996425217) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 117178693501 + ... + 117178693763.

It is an arithmetic number, because the mean of its divisors is an integer number (41999958000).

It is a 1-persistent number, because it is pandigital, but 2⋅30817996425216 = 61635992850432 is not.

Almost surely, 230817996425216 is an apocalyptic number.

30817996425216 is a gapful number since it is divisible by the number (36) 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 30817996425216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64511935488000).

30817996425216 is an abundant number, since it is smaller than the sum of its proper divisors (98205874550784).

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

30817996425216 is a wasteful number, since it uses less digits than its factorization.

30817996425216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 30817996425216 in words is "thirty trillion, eight hundred seventeen billion, nine hundred ninety-six million, four hundred twenty-five thousand, two hundred sixteen".