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30256730496 = 27338998369
BaseRepresentation
bin11100001011011100…
…010001000110000000
32220002122101011102000
4130023130101012000
5443431210333441
621522202424000
72120534652156
oct341334210600
986078334360
1030256730496
11119171544a3
125a44b02000
132b12623135
1416705973d6
15bc143c2b6
hex70b711180

30256730496 has 128 divisors (see below), whose sum is σ = 90303660000. Its totient is φ = 9972154368.

The previous prime is 30256730477. The next prime is 30256730507. The reversal of 30256730496 is 69403765203.

30256730496 is a `hidden beast` number, since 3 + 0 + 256 + 7 + 304 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258400 + ... + 356768.

Almost surely, 230256730496 is an apocalyptic number.

30256730496 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 30256730496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45151830000).

30256730496 is an abundant number, since it is smaller than the sum of its proper divisors (60046929504).

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

30256730496 is an equidigital number, since it uses as much as digits as its factorization.

30256730496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98481 (or 98463 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 30256730496 in words is "thirty billion, two hundred fifty-six million, seven hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 89 96 108 128 144 178 192 216 267 288 356 384 432 534 576 712 801 864 1068 1152 1424 1602 1728 2136 2403 2848 3204 3456 4272 4806 5696 6408 8544 9612 11392 12816 17088 19224 25632 34176 38448 51264 76896 98369 102528 153792 196738 295107 307584 393476 590214 786952 885321 1180428 1573904 1770642 2360856 2655963 3147808 3541284 4721712 5311926 6295616 7082568 8754841 9443424 10623852 12591232 14165136 17509682 18886848 21247704 26264523 28330272 35019364 37773696 42495408 52529046 56660544 70038728 78793569 84990816 105058092 113321088 140077456 157587138 169981632 210116184 236380707 280154912 315174276 339963264 420232368 472761414 560309824 630348552 840464736 945522828 1120619648 1260697104 1680929472 1891045656 2521394208 3361858944 3782091312 5042788416 7564182624 10085576832 15128365248 30256730496