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85862440620672 = 2731789991461601
BaseRepresentation
bin10011100001011101101000…
…010001011101001010000000
3102021000100222010011001221020
4103201131220101131022000
542223232234244330142
6502340354412425440
724041233215160422
oct2341355021351200
9367010863131836
1085862440620672
11253a4069334931
129768871778280
1338baa4116bb71
14172ba9b34a812
159dd72c09bcec
hex4e176845d280

85862440620672 has 128 divisors (see below), whose sum is σ = 241515114480000. Its totient is φ = 26934224486400.

The previous prime is 85862440620659. The next prime is 85862440620809. The reversal of 85862440620672 is 27602604426858.

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

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, 58014672 + ... + 59476272.

It is an arithmetic number, because the mean of its divisors is an integer number (1886836831875).

Almost surely, 285862440620672 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 85862440620672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120757557240000).

85862440620672 is an abundant number, since it is smaller than the sum of its proper divisors (155652673859328).

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

85862440620672 is a wasteful number, since it uses less digits than its factorization.

85862440620672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470634 (or 1470622 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 60.

The spelling of 85862440620672 in words is "eighty-five trillion, eight hundred sixty-two billion, four hundred forty million, six hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 8999 17998 26997 35996 53994 71992 107988 143984 152983 215976 287968 305966 431952 458949 575936 611932 863904 917898 1151872 1223864 1461601 1727808 1835796 2447728 2923202 3455616 3671592 4384803 4895456 5846404 7343184 8769606 9790912 11692808 14686368 17539212 19581824 23385616 24847217 29372736 35078424 46771232 49694434 58745472 70156848 74541651 93542464 99388868 140313696 149083302 187084928 198777736 280627392 298166604 397555472 561254784 596333208 795110944 1192666416 1590221888 2385332832 3180443776 4770665664 9541331328 13152947399 26305894798 39458842197 52611789596 78917684394 105223579192 157835368788 210447158384 223600105783 315670737576 420894316768 447200211566 631341475152 670800317349 841788633536 894400423132 1262682950304 1341600634698 1683577267072 1788800846264 2525365900608 2683201269396 3577601692528 5050731801216 5366402538792 7155203385056 10732805077584 14310406770112 21465610155168 28620813540224 42931220310336 85862440620672