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85840118007402 = 231119701563917317
BaseRepresentation
bin10011100001001000110101…
…101111011100011001101010
3102020221020100102012211020210
4103201020311233130121222
542222401030202214102
6502322223353401550
724036513101120313
oct2341106557343152
9366836312184223
1085840118007402
112539565384a110
129764481a092b6
1338b88c4532365
14172a9807cb60a
159dcd7249436c
hex4e1235bdc66a

85840118007402 has 128 divisors (see below), whose sum is σ = 197472415795200. Its totient is φ = 24602157216000.

The previous prime is 85840118007373. The next prime is 85840118007403. The reversal of 85840118007402 is 20470081104858.

It is a super-2 number, since 2×858401180074022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85840118007403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4956976848 + ... + 4956994164.

It is an arithmetic number, because the mean of its divisors is an integer number (1542753248400).

Almost surely, 285840118007402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85840118007402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98736207897600).

85840118007402 is an abundant number, since it is smaller than the sum of its proper divisors (111632297787798).

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

85840118007402 is a wasteful number, since it uses less digits than its factorization.

85840118007402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23692.

The product of its (nonzero) digits is 573440, while the sum is 48.

The spelling of 85840118007402 in words is "eighty-five trillion, eight hundred forty billion, one hundred eighteen million, seven thousand, four hundred two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 701 1254 1402 2103 4206 5639 7711 11278 13319 15422 16917 17317 23133 26638 33834 34634 39957 46266 51951 62029 79914 103902 107141 124058 146509 186087 190487 214282 293018 321423 329023 372174 380974 439527 571461 642846 658046 879054 987069 1142922 1178551 1974138 2357102 3535653 3619253 3952939 7071306 7238506 7905878 10857759 11858817 12139217 21715518 23717634 24278434 36417651 43482329 72835302 75105841 86964658 97650563 130446987 133531387 150211682 195301126 225317523 230645123 260893974 267062774 292951689 400594161 450635046 461290246 585903378 691935369 801188322 826164251 1074156193 1383870738 1652328502 1855360697 2148312386 2478492753 2537096353 3222468579 3710721394 4956985506 5074192706 5566082091 6444937158 7611289059 11132164182 15222578118 20408967667 40817935334 61226903001 68453044663 122453806002 136906089326 205359133989 410718267978 752983491293 1300607848597 1505966982586 2258950473879 2601215697194 3901823545791 4517900947758 7803647091582 14306686334567 28613372669134 42920059003701 85840118007402