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30204816880 = 245765981847
BaseRepresentation
bin11100001000010110…
…001110110111110000
32212222000200200022111
4130020112032313300
5443324413120010
621513110015104
72116334464420
oct341026166760
985860620274
1030204816880
111189a916a87
125a2b647494
132b04947a14
141667722480
15bbbad558a
hex70858edf0

30204816880 has 80 divisors (see below), whose sum is σ = 80381283840. Its totient is φ = 10340096256.

The previous prime is 30204816877. The next prime is 30204816937. The reversal of 30204816880 is 8861840203.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 328117 + ... + 409963.

It is an arithmetic number, because the mean of its divisors is an integer number (1004766048).

Almost surely, 230204816880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30204816880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40190641920).

30204816880 is an abundant number, since it is smaller than the sum of its proper divisors (50176466960).

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

30204816880 is a wasteful number, since it uses less digits than its factorization.

30204816880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82526 (or 82520 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 30204816880 in words is "thirty billion, two hundred four million, eight hundred sixteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 659 1318 2636 3295 4613 5272 6590 9226 10544 13180 18452 23065 26360 36904 46130 52720 73808 81847 92260 163694 184520 327388 369040 409235 572929 654776 818470 1145858 1309552 1636940 2291716 2864645 3273880 4583432 5729290 6547760 9166864 11458580 22917160 45834320 53937173 107874346 215748692 269685865 377560211 431497384 539371730 755120422 862994768 1078743460 1510240844 1887801055 2157486920 3020481688 3775602110 4314973840 6040963376 7551204220 15102408440 30204816880