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85719650970 = 235172114791663
BaseRepresentation
bin100111111010101001…
…0100001001010011010
322012020221122110002210
41033311102201022122
52401023212312340
6103213513335550
76123133003602
oct1176522411232
9265227573083
1085719650970
1133398565558
12147434075b6
1381110c3385
14421264bc02
15236a6ca180
hex13f54a129a

85719650970 has 128 divisors (see below), whose sum is σ = 219449917440. Its totient is φ = 21354439680.

The previous prime is 85719650969. The next prime is 85719650983. The reversal of 85719650970 is 7905691758.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85719650970.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51544359 + ... + 51546021.

It is an arithmetic number, because the mean of its divisors is an integer number (1714452480).

Almost surely, 285719650970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85719650970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109724958720).

85719650970 is an abundant number, since it is smaller than the sum of its proper divisors (133730266470).

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

85719650970 is a wasteful number, since it uses less digits than its factorization.

85719650970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380.

The product of its (nonzero) digits is 4762800, while the sum is 57.

The spelling of 85719650970 in words is "eighty-five billion, seven hundred nineteen million, six hundred fifty thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 211 255 422 479 510 633 958 1055 1266 1437 1663 2110 2395 2874 3165 3326 3587 4790 4989 6330 7174 7185 8143 8315 9978 10761 14370 16286 16630 17935 21522 24429 24945 28271 35870 40715 48858 49890 53805 56542 81430 84813 101069 107610 122145 141355 169626 202138 244290 282710 303207 350893 424065 505345 606414 701786 796577 848130 1010690 1052679 1516035 1593154 1718173 1754465 2105358 2389731 3032070 3436346 3508930 3982885 4779462 5154519 5263395 5965181 7965770 8590865 10309038 10526790 11930362 11948655 13541809 17181730 17895543 23897310 25772595 27083618 29825905 35791086 40625427 51545190 59651810 67709045 81250854 89477715 135418090 168077747 178955430 203127135 336155494 406254270 504233241 840388735 1008466482 1680777470 2521166205 2857321699 5042332410 5714643398 8571965097 14286608495 17143930194 28573216990 42859825485 85719650970