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30274371468 = 223211193125379
BaseRepresentation
bin11100001100011111…
…100011111110001100
32220010212120102021100
4130030133203332030
5444000214341333
621524032503100
72121140624445
oct341437437614
986125512240
1030274371468
1111926103410
125a4a9aaa90
132b1618b893
141672a6a2cc
15bc2c74213
hex70c7e3f8c

30274371468 has 432 divisors, whose sum is σ = 93688358400. Its totient is φ = 8147692800.

The previous prime is 30274371467. The next prime is 30274371469. The reversal of 30274371468 is 86417347203.

30274371468 is a `hidden beast` number, since 3 + 0 + 274 + 371 + 4 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (30274371467) and next prime (30274371469).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (30274371467) 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, 383219853 + ... + 383219931.

It is an arithmetic number, because the mean of its divisors is an integer number (216871200).

Almost surely, 230274371468 is an apocalyptic number.

30274371468 is a gapful number since it is divisible by the number (38) 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 30274371468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46844179200).

30274371468 is an abundant number, since it is smaller than the sum of its proper divisors (63413986932).

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

30274371468 is a wasteful number, since it uses less digits than its factorization.

30274371468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 30274371468 in words is "thirty billion, two hundred seventy-four million, three hundred seventy-one thousand, four hundred sixty-eight".