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21168158814 = 2341183167857
BaseRepresentation
bin10011101101101110…
…000111100001011110
32000122020121212220000
4103231232013201132
5321323022040224
613420255035130
71346365244505
oct235556074136
960566555800
1021168158814
118a82968030
12412920baa6
131cc470107a
14104b4c783c
1583d5b70c9
hex4edb8785e

21168158814 has 160 divisors (see below), whose sum is σ = 52742866176. Its totient is φ = 6292010880.

The previous prime is 21168158801. The next prime is 21168158833. The reversal of 21168158814 is 41885186112.

21168158814 is a `hidden beast` number, since 2 + 1 + 1 + 68 + 1 + 588 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21168158814.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24699874 + ... + 24700730.

Almost surely, 221168158814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21168158814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26371433088).

21168158814 is an abundant number, since it is smaller than the sum of its proper divisors (31574707362).

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

21168158814 is a wasteful number, since it uses less digits than its factorization.

21168158814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1123 counting only the distinct ones).

The product of its digits is 122880, while the sum is 45.

The spelling of 21168158814 in words is "twenty-one billion, one hundred sixty-eight million, one hundred fifty-eight thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 83 99 162 166 167 198 249 297 334 498 501 594 747 857 891 913 1002 1494 1503 1714 1782 1826 1837 2241 2571 2739 3006 3674 4482 4509 5142 5478 5511 6723 7713 8217 9018 9427 11022 13446 13527 13861 15426 16434 16533 18854 23139 24651 27054 27722 28281 33066 41583 46278 49302 49599 56562 69417 71131 73953 83166 84843 99198 124749 138834 142262 143119 147906 148797 152471 169686 213393 249498 254529 286238 297594 304942 374247 426786 429357 457413 509058 640179 748494 763587 782441 858714 914826 1122741 1280358 1288071 1372239 1527174 1564882 1574309 1920537 2245482 2347323 2576142 2744478 3148618 3841074 3864213 4116717 4694646 4722927 5761611 7041969 7728426 8233434 9445854 11523222 11592639 11878877 12350151 14083938 14168781 21125907 23185278 23757754 24700302 28337562 35636631 42251814 42506343 63377721 71273262 85012686 106909893 126755442 127519029 130667647 213819786 255038058 261335294 320729679 392002941 641459358 784005882 962189037 1176008823 1924378074 2352017646 3528026469 7056052938 10584079407 21168158814