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82863964769856 = 26314926571090151
BaseRepresentation
bin10010110101110101000101…
…001011110100111001000000
3101212101201101011211121002220
4102311311011023310321000
541330120344440113411
6452123102505011040
723311503203031054
oct2265650513647100
9355351334747086
1082863964769856
1124448456942a86
129363712183a80
1337310663380aa
1416668cca41c64
1598a736572b06
hex4b5d452f4e40

82863964769856 has 112 divisors (see below), whose sum is σ = 220798950019200. Its totient is φ = 27425592524800.

The previous prime is 82863964769843. The next prime is 82863964769867. The reversal of 82863964769856 is 65896746936828.

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, 75466381 + ... + 76556531.

It is an arithmetic number, because the mean of its divisors is an integer number (1971419196600).

Almost surely, 282863964769856 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 82863964769856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110399475009600).

82863964769856 is an abundant number, since it is smaller than the sum of its proper divisors (137934985249344).

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

82863964769856 is a wasteful number, since it uses less digits than its factorization.

82863964769856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092972 (or 1092962 counting only the distinct ones).

The product of its digits is 45148078080, while the sum is 87.

The spelling of 82863964769856 in words is "eighty-two trillion, eight hundred sixty-three billion, nine hundred sixty-four million, seven hundred sixty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 298 447 596 894 1192 1788 2384 2657 3576 4768 5314 7152 7971 9536 10628 14304 15942 21256 28608 31884 42512 63768 85024 127536 170048 255072 395893 510144 791786 1090151 1187679 1583572 2180302 2375358 3167144 3270453 4360604 4750716 6334288 6540906 8721208 9501432 12668576 13081812 17442416 19002864 25337152 26163624 34884832 38005728 52327248 69769664 76011456 104654496 162432499 209308992 324864998 487297497 649729996 974594994 1299459992 1949189988 2598919984 2896531207 3898379976 5197839968 5793062414 7796759952 8689593621 10395679936 11586124828 15593519904 17379187242 23172249656 31187039808 34758374484 46344499312 69516748968 92688998624 139033497936 185377997248 278066995872 431583149843 556133991744 863166299686 1294749449529 1726332599372 2589498899058 3452665198744 5178997798116 6905330397488 10357995596232 13810660794976 20715991192464 27621321589952 41431982384928 82863964769856