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30960104832 = 273249435437
BaseRepresentation
bin11100110101010111…
…011011010110000000
32221220122220021121100
4130311113123112000
51001401241323312
622120050254400
72144135356206
oct346527332600
987818807540
1030960104832
1112148198aa8
126000587400
132bc5274377
1416d9b6d076
15c130795dc
hex7355db580

30960104832 has 96 divisors (see below), whose sum is σ = 89125339680. Its totient is φ = 10316049408.

The previous prime is 30960104827. The next prime is 30960104837. The reversal of 30960104832 is 23840106903.

30960104832 is a `hidden beast` number, since 3 + 0 + 9 + 601 + 0 + 48 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (30960104827) and next prime (30960104837).

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30960104837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5691618 + ... + 5697054.

It is an arithmetic number, because the mean of its divisors is an integer number (928388955).

Almost surely, 230960104832 is an apocalyptic number.

30960104832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30960104832 is an abundant number, since it is smaller than the sum of its proper divisors (58165234848).

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

30960104832 is a wasteful number, since it uses less digits than its factorization.

30960104832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10400 (or 10385 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 30960104832 in words is "thirty billion, nine hundred sixty million, one hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 4943 5437 9886 10874 14829 16311 19772 21748 29658 32622 39544 43496 44487 48933 59316 65244 79088 86992 88974 97866 118632 130488 158176 173984 177948 195732 237264 260976 316352 347968 355896 391464 474528 521952 632704 695936 711792 782928 949056 1043904 1423584 1565856 1898112 2087808 2847168 3131712 5694336 6263424 26875091 53750182 80625273 107500364 161250546 215000728 241875819 322501092 430001456 483751638 645002184 860002912 967503276 1290004368 1720005824 1935006552 2580008736 3440011648 3870013104 5160017472 7740026208 10320034944 15480052416 30960104832