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30608968608 = 253335427047
BaseRepresentation
bin11100100000011011…
…111100101110100000
32221000012011201021000
4130200123330232200
51000141343443413
622021144232000
72132342640351
oct344033745640
987005151230
1030608968608
1111a87a68179
125b22a6b600
132b6a5b0c5a
1416a5287d28
15be2319073
hex7206fcba0

30608968608 has 48 divisors (see below), whose sum is σ = 89276160960. Its totient is φ = 10202989248.

The previous prime is 30608968603. The next prime is 30608968613. The reversal of 30608968608 is 80686980603.

It is an interprime number because it is at equal distance from previous prime (30608968603) and next prime (30608968613).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (30608968601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17712660 + ... + 17714387.

It is an arithmetic number, because the mean of its divisors is an integer number (1859920020).

Almost surely, 230608968608 is an apocalyptic number.

It is an amenable number.

30608968608 is an abundant number, since it is smaller than the sum of its proper divisors (58667192352).

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

30608968608 is a wasteful number, since it uses less digits than its factorization.

30608968608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35427066 (or 35427052 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

It can be divided in two parts, 3060896 and 8608, that added together give a square (3069504 = 17522).

The spelling of 30608968608 in words is "thirty billion, six hundred eight million, nine hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 35427047 70854094 106281141 141708188 212562282 283416376 318843423 425124564 566832752 637686846 850249128 956530269 1133665504 1275373692 1700498256 1913060538 2550747384 3400996512 3826121076 5101494768 7652242152 10202989536 15304484304 30608968608