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30939154432 = 211591072393
BaseRepresentation
bin11100110100000111…
…100000100000000000
32221212012110220001121
4130310013200200000
51001330410420212
622114021242024
72143462321264
oct346407404000
987765426047
1030939154432
111213738971a
125bb5563314
132bc0b1a494
1416d70780a4
15c112dbd07
hex7341e0800

30939154432 has 96 divisors (see below), whose sum is σ = 63526226400. Its totient is φ = 15058960384.

The previous prime is 30939154427. The next prime is 30939154447. The reversal of 30939154432 is 23445193903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12927828 + ... + 12930220.

It is an arithmetic number, because the mean of its divisors is an integer number (661731525).

Almost surely, 230939154432 is an apocalyptic number.

30939154432 is a gapful number since it is divisible by the number (32) 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 30939154432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31763113200).

30939154432 is an abundant number, since it is smaller than the sum of its proper divisors (32587071968).

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

30939154432 is a wasteful number, since it uses less digits than its factorization.

30939154432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 43.

The spelling of 30939154432 in words is "thirty billion, nine hundred thirty-nine million, one hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 59 64 107 118 128 214 236 256 428 472 512 856 944 1024 1712 1888 2048 2393 3424 3776 4786 6313 6848 7552 9572 12626 13696 15104 19144 25252 27392 30208 38288 50504 54784 60416 76576 101008 109568 120832 141187 153152 202016 219136 256051 282374 306304 404032 512102 564748 612608 808064 1024204 1129496 1225216 1616128 2048408 2258992 2450432 3232256 4096816 4517984 4900864 6464512 8193632 9035968 12929024 15107009 16387264 18071936 30214018 32774528 36143872 60428036 65549056 72287744 120856072 131098112 144575488 241712144 262196224 289150976 483424288 524392448 966848576 1933697152 3867394304 7734788608 15469577216 30939154432