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23668218924 = 22372174195651
BaseRepresentation
bin10110000010101111…
…000101110000101100
32021002110221002121220
4112002233011300230
5341433031001144
614512324023340
71465343353500
oct260257056054
967073832556
1023668218924
11a046102209
124706531b50
13230265198c
141207552300
15937d05919
hex582bc5c2c

23668218924 has 144 divisors (see below), whose sum is σ = 68195675520. Its totient is φ = 6348249600.

The previous prime is 23668218919. The next prime is 23668218947. The reversal of 23668218924 is 42981286632.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4185499 + ... + 4191149.

It is an arithmetic number, because the mean of its divisors is an integer number (473581080).

Almost surely, 223668218924 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 23668218924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34097837760).

23668218924 is an abundant number, since it is smaller than the sum of its proper divisors (44527456596).

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

23668218924 is a wasteful number, since it uses less digits than its factorization.

23668218924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6108 (or 6099 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The spelling of 23668218924 in words is "twenty-three billion, six hundred sixty-eight million, two hundred eighteen thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 419 476 588 714 833 838 1257 1428 1666 1676 2499 2514 2933 3332 4998 5028 5651 5866 7123 8799 9996 11302 11732 14246 16953 17598 20531 21369 22604 28492 33906 35196 39557 41062 42738 49861 61593 67812 79114 82124 85476 96067 99722 118671 123186 149583 158228 192134 199444 237342 246372 276899 288201 299166 349027 384268 474684 553798 576402 598332 672469 698054 830697 1047081 1107596 1152804 1344938 1396108 1661394 2017407 2094162 2367769 2689876 3322788 4034814 4188324 4707283 4735538 7103307 8069628 9414566 9471076 14121849 14206614 16574383 18829132 28243698 28413228 33148766 40252073 49723149 56487396 66297532 80504146 99446298 116020681 120756219 161008292 198892596 232041362 241512438 281764511 348062043 464082724 483024876 563529022 696124086 845293533 1127058044 1392248172 1690587066 1972351577 3381174132 3944703154 5917054731 7889406308 11834109462 23668218924