Search a number
-
+
16134826962672 = 24321119536112007
BaseRepresentation
bin1110101011001010111010…
…1000010010111011110000
32010010110210211111011022200
43222302232220102323300
54103323111200301142
654152123121503200
73253463024211345
oct352625650227360
963113724434280
1016134826962672
115160818206050
121987054aa1b00
1390067a414a72
143dad034c47cc
151cea858b564c
hexeacaea12ef0

16134826962672 has 120 divisors (see below), whose sum is σ = 51852753413760. Its totient is φ = 4632007731840.

The previous prime is 16134826962649. The next prime is 16134826962743. The reversal of 16134826962672 is 27626962843161.

16134826962672 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 482 + 6 + 96 + 2 + 67 + 2 = 666.

It is a super-2 number, since 2×161348269626722 (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 268025908 + ... + 268086099.

It is an arithmetic number, because the mean of its divisors is an integer number (432106278448).

Almost surely, 216134826962672 is an apocalyptic number.

16134826962672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16134826962672 is an abundant number, since it is smaller than the sum of its proper divisors (35717926451088).

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

16134826962672 is a wasteful number, since it uses less digits than its factorization.

16134826962672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536112051 (or 536112042 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 16134826962672 in words is "sixteen trillion, one hundred thirty-four billion, eight hundred twenty-six million, nine hundred sixty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1672 1881 2508 2736 3344 3762 5016 7524 10032 15048 30096 536112007 1072224014 1608336021 2144448028 3216672042 4288896056 4825008063 5897232077 6433344084 8577792112 9650016126 10186128133 11794464154 12866688168 17691696231 19300032252 20372256266 23588928308 25733376336 30558384399 35383392462 38600064504 40744512532 47177856616 53075088693 61116768798 70766784924 77200129008 81489025064 91675153197 94355713232 106150177386 112047409463 122233537596 141533569848 162978050128 183350306394 212300354772 224094818926 244467075192 283067139696 336142228389 366700612788 424600709544 448189637852 488934150384 672284456778 733401225576 849201419088 896379275704 1008426685167 1344568913556 1466802451152 1792758551408 2016853370334 2689137827112 4033706740668 5378275654224 8067413481336 16134826962672