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30890959407 = 32721117336809
BaseRepresentation
bin11100110001001111…
…101010001000101111
32221201211210022220200
4130301033222020233
51001231041200112
622105140244543
72142335552100
oct346117521057
987654708820
1030890959407
1112112161020
125ba13a0753
132bb3b44809
1416d08d03a7
15c0be6bcdc
hex7313ea22f

30890959407 has 72 divisors (see below), whose sum is σ = 56952726480. Its totient is φ = 15954059520.

The previous prime is 30890959399. The next prime is 30890959469. The reversal of 30890959407 is 70495909803.

It is not a de Polignac number, because 30890959407 - 23 = 30890959399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30890959907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 820819 + ... + 857627.

It is an arithmetic number, because the mean of its divisors is an integer number (791010090).

Almost surely, 230890959407 is an apocalyptic number.

30890959407 is a deficient number, since it is larger than the sum of its proper divisors (26061767073).

30890959407 is a wasteful number, since it uses less digits than its factorization.

30890959407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37013 (or 37003 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 30890959407 in words is "thirty billion, eight hundred ninety million, nine hundred fifty-nine thousand, four hundred seven".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 173 231 441 519 539 693 1211 1557 1617 1903 3633 4851 5709 8477 10899 13321 17127 25431 36809 39963 76293 93247 110427 119889 257663 279741 331281 404899 772989 839223 1214697 1803641 2318967 2834293 3644091 5410923 6367957 8502879 16232769 19103871 19840051 25508637 44575699 57311613 59520153 70047527 133727097 178560459 210142581 312029893 401181291 490332689 630427743 936089679 1470998067 2808269037 3432328823 4412994201 10296986469 30890959407