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30643253406 = 232173715717239
BaseRepresentation
bin11100100010011110…
…101111000010011110
32221002120200120011100
4130202132233002132
51000224133102111
622024411133530
72133240233133
oct344236570236
987076616140
1030643253406
1111aa5354917
125b324442a6
132b7472630c
1416a9a5058a
15be533c756
hex7227af09e

30643253406 has 96 divisors (see below), whose sum is σ = 72663289920. Its totient is φ = 9293626368.

The previous prime is 30643253363. The next prime is 30643253489. The reversal of 30643253406 is 60435234603.

30643253406 is a `hidden beast` number, since 3 + 0 + 643 + 2 + 5 + 3 + 4 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1768935 + ... + 1786173.

It is an arithmetic number, because the mean of its divisors is an integer number (756909270).

Almost surely, 230643253406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30643253406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36331644960).

30643253406 is an abundant number, since it is smaller than the sum of its proper divisors (42020036514).

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

30643253406 is a wasteful number, since it uses less digits than its factorization.

30643253406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17458 (or 17455 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 30643253406 in words is "thirty billion, six hundred forty-three million, two hundred fifty-three thousand, four hundred six".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 157 222 306 314 333 471 629 666 942 1258 1413 1887 2669 2826 3774 5338 5661 5809 8007 11322 11618 16014 17239 17427 24021 34478 34854 48042 51717 52281 98753 103434 104562 155151 197506 293063 296259 310302 586126 592518 637843 879189 888777 1275686 1758378 1777554 1913529 2637567 2706523 3827058 5275134 5413046 5740587 8119569 10843331 11481174 16239138 21686662 24358707 32529993 46010891 48717414 65059986 92021782 97589979 100141351 138032673 195179958 200282702 276065346 300424053 414098019 600848106 828196038 901272159 1702402967 1802544318 3404805934 5107208901 10214417802 15321626703 30643253406