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285745720608 = 253212758713309
BaseRepresentation
bin1000010100001111100…
…01011010110100100000
31000022120002222121102100
410022013301122310200
514140201401024413
6335134134250400
726434021356435
oct4120761326440
91008502877370
10285745720608
11100203012207
12474677b6a00
1320c3a93c56a
14db89d97b8c
15767609da73
hex4287c5ad20

285745720608 has 144 divisors (see below), whose sum is σ = 820444584960. Its totient is φ = 94330510848.

The previous prime is 285745720543. The next prime is 285745720643. The reversal of 285745720608 is 806027547582.

285745720608 is a `hidden beast` number, since 2 + 8 + 5 + 7 + 4 + 5 + 7 + 20 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21463458 + ... + 21476766.

It is an arithmetic number, because the mean of its divisors is an integer number (5697531840).

Almost surely, 2285745720608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285745720608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410222292480).

285745720608 is an abundant number, since it is smaller than the sum of its proper divisors (534698864352).

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

285745720608 is a wasteful number, since it uses less digits than its factorization.

285745720608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14039 (or 14028 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 285745720608 in words is "two hundred eighty-five billion, seven hundred forty-five million, seven hundred twenty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 587 762 1016 1143 1174 1524 1761 2032 2286 2348 3048 3522 4064 4572 4696 5283 6096 7044 9144 9392 10566 12192 13309 14088 18288 18784 21132 26618 28176 36576 39927 42264 53236 56352 74549 79854 84528 106472 119781 149098 159708 169056 212944 223647 239562 298196 319416 425888 447294 479124 596392 638832 670941 894588 958248 1192784 1277664 1341882 1690243 1789176 1916496 2385568 2683764 3380486 3578352 3832992 5070729 5367528 6760972 7156704 7812383 10141458 10735056 13521944 15212187 15624766 20282916 21470112 23437149 27043888 30424374 31249532 40565832 46874298 54087776 60848748 62499064 70311447 81131664 93748596 121697496 124998128 140622894 162263328 187497192 243394992 249996256 281245788 374994384 486789984 562491576 749988768 992172641 1124983152 1984345282 2249966304 2976517923 3968690564 5953035846 7937381128 8929553769 11906071692 15874762256 17859107538 23812143384 31749524512 35718215076 47624286768 71436430152 95248573536 142872860304 285745720608