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30891278016 = 263373244889
BaseRepresentation
bin11100110001010000…
…110111111011000000
32221201212101111222000
4130301100313323000
51001231131344031
622105151144000
72142341350014
oct346120677300
987655344860
1030891278016
1112112359435
125ba1515000
132bb3c26841
1416d0974544
15c0bed13e6
hex731437ec0

30891278016 has 112 divisors (see below), whose sum is σ = 92059048800. Its totient is φ = 10155995136.

The previous prime is 30891277981. The next prime is 30891278029. The reversal of 30891278016 is 61087219803.

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, 3700 + ... + 248588.

Almost surely, 230891278016 is an apocalyptic number.

30891278016 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 30891278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46029524400).

30891278016 is an abundant number, since it is smaller than the sum of its proper divisors (61167770784).

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

30891278016 is a wasteful number, since it uses less digits than its factorization.

30891278016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244983 (or 244967 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 30891278016 in words is "thirty billion, eight hundred ninety-one million, two hundred seventy-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 144 146 192 216 219 288 292 432 438 576 584 657 864 876 1168 1314 1728 1752 1971 2336 2628 3504 3942 4672 5256 7008 7884 10512 14016 15768 21024 31536 42048 63072 126144 244889 489778 734667 979556 1469334 1959112 2204001 2938668 3918224 4408002 5877336 6612003 7836448 8816004 11754672 13224006 15672896 17632008 17876897 23509344 26448012 35264016 35753794 47018688 52896024 53630691 70528032 71507588 105792048 107261382 141056064 143015176 160892073 211584096 214522764 286030352 321784146 423168192 429045528 482676219 572060704 643568292 858091056 965352438 1144121408 1287136584 1716182112 1930704876 2574273168 3432364224 3861409752 5148546336 7722819504 10297092672 15445639008 30891278016