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30560536064 = 291731532137
BaseRepresentation
bin11100011101100011…
…001100011000000000
32220212211001002022002
4130131203030120000
51000041444123224
622012254203132
72131214161532
oct343543143000
986784032262
1030560536064
1111a62698083
125b0a7b34a8
132b60554146
14169ca7b852
15bdce4d9ae
hex71d8cc600

30560536064 has 160 divisors (see below), whose sum is σ = 68029860096. Its totient is φ = 13648527360.

The previous prime is 30560536051. The next prime is 30560536093. The reversal of 30560536064 is 46063506503.

It is a happy number.

It is a super-2 number, since 2×305605360642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14299604 + ... + 14301740.

Almost surely, 230560536064 is an apocalyptic number.

30560536064 is a gapful number since it is divisible by the number (34) 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 30560536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34014930048).

30560536064 is an abundant number, since it is smaller than the sum of its proper divisors (37469324032).

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

30560536064 is a wasteful number, since it uses less digits than its factorization.

30560536064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 38.

The spelling of 30560536064 in words is "thirty billion, five hundred sixty million, five hundred thirty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 17 31 32 34 53 62 64 68 106 124 128 136 212 248 256 272 424 496 512 527 544 848 901 992 1054 1088 1643 1696 1802 1984 2108 2137 2176 3286 3392 3604 3968 4216 4274 4352 6572 6784 7208 7936 8432 8548 8704 13144 13568 14416 15872 16864 17096 26288 27136 27931 28832 33728 34192 36329 52576 55862 57664 66247 67456 68384 72658 105152 111724 113261 115328 132494 134912 136768 145316 210304 223448 226522 230656 264988 269824 273536 290632 420608 446896 453044 461312 529976 547072 581264 841216 893792 906088 1059952 1094144 1126199 1162528 1787584 1812176 1925437 2119904 2252398 2325056 3511091 3575168 3624352 3850874 4239808 4504796 4650112 7022182 7150336 7248704 7701748 8479616 9009592 9300224 14044364 14300672 14497408 15403496 16959232 18019184 18600448 28088728 28994816 30806992 33918464 36038368 56177456 57989632 59688547 61613984 72076736 112354912 119377094 123227968 144153472 224709824 238754188 246455936 288306944 449419648 477508376 492911872 576613888 898839296 955016752 985823744 1797678592 1910033504 3820067008 7640134016 15280268032 30560536064