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8285427660672 = 273316314707999
BaseRepresentation
bin111100010010001100111…
…1110001111011110000000
31002100002010200212220002000
41320210121332033132000
52041222023440120142
625342134541224000
71513413423050361
oct170443176173600
932302120786060
108285427660672
112704914a06298
12b19930b62000
1348140a681576
142090342c1b68
15e57ca13914c
hex78919f8f780

8285427660672 has 128 divisors (see below), whose sum is σ = 24603542400000. Its totient is φ = 2744865418752.

The previous prime is 8285427660637. The next prime is 8285427660673. The reversal of 8285427660672 is 2760667245828.

8285427660672 is a `hidden beast` number, since 8 + 2 + 85 + 427 + 6 + 60 + 6 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8285427660673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6790672 + ... + 7917327.

It is an arithmetic number, because the mean of its divisors is an integer number (192215175000).

Almost surely, 28285427660672 is an apocalyptic number.

It is an amenable number.

8285427660672 is an abundant number, since it is smaller than the sum of its proper divisors (16318114739328).

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

8285427660672 is a wasteful number, since it uses less digits than its factorization.

8285427660672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14708185 (or 14708167 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 8285427660672 in words is "eight trillion, two hundred eighty-five billion, four hundred twenty-seven million, six hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 163 192 216 288 326 384 432 489 576 652 864 978 1152 1304 1467 1728 1956 2608 2934 3456 3912 4401 5216 5868 7824 8802 10432 11736 15648 17604 20864 23472 31296 35208 46944 62592 70416 93888 140832 187776 281664 563328 14707999 29415998 44123997 58831996 88247994 117663992 132371991 176495988 235327984 264743982 352991976 397115973 470655968 529487964 705983952 794231946 941311936 1058975928 1411967904 1588463892 1882623872 2117951856 2397403837 2823935808 3176927784 4235903712 4794807674 5647871616 6353855568 7192211511 8471807424 9589615348 12707711136 14384423022 16943614848 19179230696 21576634533 25415422272 28768846044 38358461392 43153269066 50830844544 57537692088 64729903599 76716922784 86306538132 115075384176 129459807198 153433845568 172613076264 230150768352 258919614396 306867691136 345226152528 460301536704 517839228792 690452305056 920603073408 1035678457584 1380904610112 2071356915168 2761809220224 4142713830336 8285427660672