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30072674016 = 25327112434761
BaseRepresentation
bin11100000000011110…
…001001011011100000
32212121211001010101100
4130000132021123200
5443042101032031
621452025434400
72113141340310
oct340036113340
985554033340
1030072674016
1111832271100
1259b333ba00
132ab345ba88
141653d65440
15bb01d1de6
hex7007896e0

30072674016 has 864 divisors, whose sum is σ = 114106696704. Its totient is φ = 7344691200.

The previous prime is 30072673987. The next prime is 30072674017. The reversal of 30072674016 is 61047627003.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30072674017) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 492994626 + ... + 492994686.

It is an arithmetic number, because the mean of its divisors is an integer number (132067936).

Almost surely, 230072674016 is an apocalyptic number.

30072674016 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 30072674016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57053348352).

30072674016 is an abundant number, since it is smaller than the sum of its proper divisors (84034022688).

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

30072674016 is a wasteful number, since it uses less digits than its factorization.

30072674016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 30072674016 in words is "thirty billion, seventy-two million, six hundred seventy-four thousand, sixteen".