Search a number
-
+
16095269083968 = 263419163410383
BaseRepresentation
bin1110101000110111100011…
…0010111101101101000000
32002222200200222100201020000
43222031320302331231000
54102201102341141333
654122021535120000
73250562525614044
oct352157062755500
962880628321200
1016095269083968
115145a68882308
12197b455073000
138c9a14b31049
143d902d924024
151cda1cb12713
hexea378cbdb40

16095269083968 has 140 divisors (see below), whose sum is σ = 50222547418560. Its totient is φ = 5082716521728.

The previous prime is 16095269083919. The next prime is 16095269083991. The reversal of 16095269083968 is 86938096259061.

16095269083968 is a `hidden beast` number, since 1 + 6 + 0 + 9 + 526 + 9 + 0 + 8 + 3 + 96 + 8 = 666.

It is a super-2 number, since 2×160952690839682 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16095269083896 and 16095269083905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81606696 + ... + 81803687.

Almost surely, 216095269083968 is an apocalyptic number.

16095269083968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16095269083968 is an abundant number, since it is smaller than the sum of its proper divisors (34127278334592).

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

16095269083968 is a wasteful number, since it uses less digits than its factorization.

16095269083968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163410426 (or 163410407 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 16095269083968 in words is "sixteen trillion, ninety-five billion, two hundred sixty-nine million, eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 864 912 1026 1216 1296 1368 1539 1728 1824 2052 2592 2736 3078 3648 4104 5184 5472 6156 8208 10944 12312 16416 24624 32832 49248 98496 163410383 326820766 490231149 653641532 980462298 1307283064 1470693447 1960924596 2614566128 2941386894 3104797277 3921849192 4412080341 5229132256 5882773788 6209594554 7843698384 8824160682 9314391831 10458264512 11765547576 12419189108 13236241023 15687396768 17648321364 18628783662 23531095152 24838378216 26472482046 27943175493 31374793536 35296642728 37257567324 47062190304 49676756432 52944964092 55886350986 70593285456 74515134648 83829526479 94124380608 99353512864 105889928184 111772701972 141186570912 149030269296 167659052958 198707025728 211779856368 223545403944 251488579437 282373141824 298060538592 335318105916 423559712736 447090807888 502977158874 596121077184 670636211832 847119425472 894181615776 1005954317748 1341272423664 1788363231552 2011908635496 2682544847328 4023817270992 5365089694656 8047634541984 16095269083968