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30890959392 = 2531933735021
BaseRepresentation
bin11100110001001111…
…101010001000100000
32221201211210022220010
4130301033222020200
51001231041200032
622105140244520
72142335552046
oct346117521040
987654708803
1030890959392
1112112161007
125ba13a0740
132bb3b447c7
1416d08d0396
15c0be6bccc
hex7313ea220

30890959392 has 96 divisors (see below), whose sum is σ = 85398909120. Its totient is φ = 9750205440.

The previous prime is 30890959357. The next prime is 30890959399. The reversal of 30890959392 is 29395909803.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (30890959399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6149842 + ... + 6154862.

It is an arithmetic number, because the mean of its divisors is an integer number (889571970).

Almost surely, 230890959392 is an apocalyptic number.

30890959392 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 30890959392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42699454560).

30890959392 is an abundant number, since it is smaller than the sum of its proper divisors (54507949728).

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

30890959392 is a wasteful number, since it uses less digits than its factorization.

30890959392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8426 (or 8418 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 57.

The spelling of 30890959392 in words is "thirty billion, eight hundred ninety million, nine hundred fifty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 3373 5021 6746 10042 10119 13492 15063 20084 20238 26984 30126 40168 40476 53968 60252 64087 80336 80952 95399 107936 120504 128174 160672 161904 190798 192261 241008 256348 286197 323808 381596 384522 482016 512696 572394 763192 769044 1025392 1144788 1526384 1538088 2050784 2289576 3052768 3076176 4579152 6152352 9158304 16935833 33871666 50807499 67743332 101614998 135486664 203229996 270973328 321780827 406459992 541946656 643561654 812919984 965342481 1287123308 1625839968 1930684962 2574246616 3861369924 5148493232 7722739848 10296986464 15445479696 30890959392