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495345682980 = 2232519294994411
BaseRepresentation
bin1110011010101001110…
…01110100101000100100
31202100120111021220120200
413031110321310220210
531103431443323410
61015320401030500
750534061556101
oct7152471645044
91670514256520
10495345682980
111810907a7205
1280002325430
1337931ac3435
1419d91027aa8
15cd422113c0
hex7354e74a24

495345682980 has 144 divisors (see below), whose sum is σ = 1636169371200. Its totient is φ = 120824766720.

The previous prime is 495345682859. The next prime is 495345682981. The reversal of 495345682980 is 89286543594.

495345682980 is a `hidden beast` number, since 4 + 9 + 534 + 5 + 6 + 8 + 2 + 98 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (495345682981) 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 47 ways as a sum of consecutive naturals, for example, 2398026 + ... + 2596385.

It is an arithmetic number, because the mean of its divisors is an integer number (11362287300).

Almost surely, 2495345682980 is an apocalyptic number.

It is an amenable number.

495345682980 is an abundant number, since it is smaller than the sum of its proper divisors (1140823688220).

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

495345682980 is a wasteful number, since it uses less digits than its factorization.

495345682980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4994474 (or 4994469 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 495345682980 in words is "four hundred ninety-five billion, three hundred forty-five million, six hundred eighty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 29 30 36 38 45 57 58 60 76 87 90 95 114 116 145 171 174 180 190 228 261 285 290 342 348 380 435 522 551 570 580 684 855 870 1044 1102 1140 1305 1653 1710 1740 2204 2610 2755 3306 3420 4959 5220 5510 6612 8265 9918 11020 16530 19836 24795 33060 49590 99180 4994411 9988822 14983233 19977644 24972055 29966466 44949699 49944110 59932932 74916165 89899398 94893809 99888220 144837919 149832330 179798796 189787618 224748495 284681427 289675838 299664660 379575236 434513757 449496990 474469045 569362854 579351676 724189595 854044281 869027514 898993980 948938090 1138725708 1303541271 1423407135 1448379190 1708088562 1738055028 1897876180 2172568785 2607082542 2751920461 2846814270 2896758380 3416177124 4270221405 4345137570 5214165084 5503840922 5693628540 6517706355 8255761383 8540442810 8690275140 11007681844 13035412710 13759602305 16511522766 17080885620 24767284149 26070825420 27519204610 33023045532 41278806915 49534568298 55038409220 82557613830 99069136596 123836420745 165115227660 247672841490 495345682980