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470137992576 = 2737315642017
BaseRepresentation
bin1101101011101100110…
…10000111010110000000
31122221111201120120002120
412311312122013112000
530200320311230301
6555551200444240
745652313000250
oct6656632072600
91587451516076
10470137992576
1117142570531a
1277148319680
133544553c3b5
1418a7d259960
15c3691b5e36
hex6d76687580

470137992576 has 128 divisors (see below), whose sum is σ = 1473243740160. Its totient is φ = 129992048640.

The previous prime is 470137992503. The next prime is 470137992589. The reversal of 470137992576 is 675299731074.

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

It is a super-2 number, since 2×4701379925762 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2737681 + ... + 2904336.

It is an arithmetic number, because the mean of its divisors is an integer number (11509716720).

Almost surely, 2470137992576 is an apocalyptic number.

It is an amenable number.

470137992576 is an abundant number, since it is smaller than the sum of its proper divisors (1003105747584).

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

470137992576 is a wasteful number, since it uses less digits than its factorization.

470137992576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642072 (or 5642060 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 60.

The spelling of 470137992576 in words is "four hundred seventy billion, one hundred thirty-seven million, nine hundred ninety-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1984 2604 2688 2976 3472 3968 5208 5952 6944 10416 11904 13888 20832 27776 41664 83328 5642017 11284034 16926051 22568068 33852102 39494119 45136136 67704204 78988238 90272272 118482357 135408408 157976476 174902527 180544544 236964714 270816816 315952952 349805054 361089088 473929428 524707581 541633632 631905904 699610108 722178176 947858856 1049415162 1083267264 1224317689 1263811808 1399220216 1895717712 2098830324 2166534528 2448635378 2527623616 2798440432 3672953067 3791435424 4197660648 4897270756 5055247232 5596880864 7345906134 7582870848 8395321296 9794541512 11193761728 14691812268 15165741696 16790642592 19589083024 22387523456 29383624536 33581285184 39178166048 58767249072 67162570368 78356332096 117534498144 156712664192 235068996288 470137992576