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85867615110552 = 2331123115931219837
BaseRepresentation
bin10011100001100010011100…
…101100100100010110011000
3102021000212022201212101121120
4103201202130230210112120
542223323333432014202
6502343012100005240
724041505356463642
oct2341423454442630
9367025281771546
1085867615110552
11253a6284190750
129769876690820
1338bb3871c25b2
14172c02c66d892
159dd9314be0bc
hex4e189cb24598

85867615110552 has 128 divisors (see below), whose sum is σ = 244387614620160. Its totient is φ = 24886996485120.

The previous prime is 85867615110503. The next prime is 85867615110553. The reversal of 85867615110552 is 25501151676858.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85867615110553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69782778 + ... + 71002614.

It is an arithmetic number, because the mean of its divisors is an integer number (1909278239220).

Almost surely, 285867615110552 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 85867615110552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122193807310080).

85867615110552 is an abundant number, since it is smaller than the sum of its proper divisors (158519999509608).

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

85867615110552 is a wasteful number, since it uses less digits than its factorization.

85867615110552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231473 (or 1231469 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 60.

The spelling of 85867615110552 in words is "eighty-five trillion, eight hundred sixty-seven billion, six hundred fifteen million, one hundred ten thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 6072 11593 23186 34779 46372 69558 92744 127523 139116 255046 266639 278232 382569 510092 533278 765138 799917 1020184 1066556 1219837 1530276 1599834 2133112 2439674 2933029 3060552 3199668 3659511 4879348 5866058 6399336 7319022 8799087 9758696 11732116 13418207 14638044 17598174 23464232 26836414 28056251 29276088 35196348 40254621 53672828 56112502 70392696 80509242 84168753 107345656 112225004 161018484 168337506 224450008 308618761 322036968 336675012 617237522 673350024 925856283 1234475044 1851712566 2468950088 3703425132 7406850264 14141570341 28283140682 42424711023 56566281364 84849422046 113132562728 155557273751 169698844092 311114547502 325256117843 339397688184 466671821253 622229095004 650512235686 933343642506 975768353529 1244458190008 1301024471372 1866687285012 1951536707058 2602048942744 3577817296273 3733374570024 3903073414116 7155634592546 7806146828232 10733451888819 14311269185092 21466903777638 28622538370184 42933807555276 85867615110552