Search a number
-
+
85914464076 = 2234743918627
BaseRepresentation
bin101000000000011100…
…1101010111101001100
322012202112012222110000
41100000321222331030
52401423100322301
6103245113044300
76131016616050
oct1200071527514
9265675188400
1085914464076
1133488525521
12147986b6690
1381425827bc
14423047dc60
15237c85c786
hex1400e6af4c

85914464076 has 120 divisors (see below), whose sum is σ = 256770936576. Its totient is φ = 24538554720.

The previous prime is 85914464047. The next prime is 85914464089. The reversal of 85914464076 is 67046441958.

85914464076 is a `hidden beast` number, since 8 + 5 + 91 + 446 + 40 + 76 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9954475 + ... + 9963101.

Almost surely, 285914464076 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 85914464076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128385468288).

85914464076 is an abundant number, since it is smaller than the sum of its proper divisors (170856472500).

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

85914464076 is a wasteful number, since it uses less digits than its factorization.

85914464076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13041 (or 13030 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 85914464076 in words is "eighty-five billion, nine hundred fourteen million, four hundred sixty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 4391 8627 8782 13173 17254 17564 25881 26346 30737 34508 39519 51762 52692 60389 61474 77643 79038 92211 103524 118557 120778 122948 155286 158076 181167 184422 232929 237114 241556 276633 310572 355671 362334 368844 465858 474228 543501 553266 698787 711342 724668 829899 931716 1087002 1106532 1397574 1422684 1630503 1659798 2174004 2489697 2795148 3261006 3319596 4891509 4979394 6522012 9783018 9958788 19566036 37881157 75762314 113643471 151524628 227286942 265168099 340930413 454573884 530336198 681860826 795504297 1022791239 1060672396 1363721652 1591008594 2045582478 2386512891 3068373717 3182017188 4091164956 4773025782 6136747434 7159538673 9546051564 12273494868 14319077346 21478616019 28638154692 42957232038 85914464076