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86370760890 = 236571166871
BaseRepresentation
bin101000001110000011…
…0010011100010111010
322020221022211021000000
41100130012103202322
52403341403322030
6103402253053430
76145230232341
oct1203406234272
9266838737000
1086370760890
11336a2052027
12148a5487276
1381b5c7560b
144274cdab58
1523a7941860
hex141c1938ba

86370760890 has 112 divisors (see below), whose sum is σ = 236378860416. Its totient is φ = 22707669600.

The previous prime is 86370760873. The next prime is 86370760897. The reversal of 86370760890 is 9806707368.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (86370760897) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 434155 + ... + 601025.

Almost surely, 286370760890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86370760890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118189430208).

86370760890 is an abundant number, since it is smaller than the sum of its proper divisors (150008099526).

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

86370760890 is a wasteful number, since it uses less digits than its factorization.

86370760890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166967 (or 166952 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 86370760890 in words is "eighty-six billion, three hundred seventy million, seven hundred sixty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 81 90 135 142 162 213 243 270 355 405 426 486 639 710 729 810 1065 1215 1278 1458 1917 2130 2430 3195 3645 3834 5751 6390 7290 9585 11502 17253 19170 28755 34506 51759 57510 86265 103518 166871 172530 258795 333742 500613 517590 834355 1001226 1501839 1668710 2503065 3003678 4505517 5006130 7509195 9011034 11847841 13516551 15018390 22527585 23695682 27033102 35543523 40549653 45055170 59239205 67582755 71087046 81099306 106630569 118478410 121648959 135165510 177717615 202748265 213261138 243297918 319891707 355435230 405496530 533152845 608244795 639783414 959675121 1066305690 1216489590 1599458535 1919350242 2879025363 3198917070 4798375605 5758050726 8637076089 9596751210 14395126815 17274152178 28790253630 43185380445 86370760890