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21114263772 = 223271719924767
BaseRepresentation
bin10011101010100000…
…100001100011011100
32000111111012201210100
4103222200201203130
5321220222420042
613411051541100
71345142165220
oct235240414334
960444181710
1021114263772
118a554a6978
12411315a790
131cb64b0b04
141044298780
158389bd24c
hex4ea8218dc

21114263772 has 144 divisors (see below), whose sum is σ = 64911974400. Its totient is φ = 5649025536.

The previous prime is 21114263767. The next prime is 21114263777. The reversal of 21114263772 is 27736241112.

21114263772 is a `hidden beast` number, since 2 + 1 + 1 + 14 + 2 + 637 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (21114263767) and next prime (21114263777).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21114263777) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 840133 + ... + 864899.

It is an arithmetic number, because the mean of its divisors is an integer number (450777600).

Almost surely, 221114263772 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 21114263772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32455987200).

21114263772 is an abundant number, since it is smaller than the sum of its proper divisors (43797710628).

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

21114263772 is a wasteful number, since it uses less digits than its factorization.

21114263772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25000 (or 24995 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The spelling of 21114263772 in words is "twenty-one billion, one hundred fourteen million, two hundred sixty-three thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 199 204 238 252 306 357 398 476 597 612 714 796 1071 1194 1393 1428 1791 2142 2388 2786 3383 3582 4179 4284 5572 6766 7164 8358 10149 12537 13532 16716 20298 23681 24767 25074 30447 40596 47362 49534 50148 60894 71043 74301 94724 99068 121788 142086 148602 173369 213129 222903 284172 297204 346738 421039 426258 445806 520107 693476 842078 852516 891612 1040214 1263117 1560321 1684156 2080428 2526234 2947273 3120642 3789351 4928633 5052468 5894546 6241284 7578702 8841819 9857266 11789092 14785899 15157404 17683638 19714532 26525457 29571798 34500431 35367276 44357697 53050914 59143596 69000862 83786761 88715394 103501293 106101828 138001724 167573522 177430788 207002586 251360283 310503879 335147044 414005172 502720566 586507327 621007758 754080849 1005441132 1173014654 1242015516 1508161698 1759521981 2346029308 3016323396 3519043962 5278565943 7038087924 10557131886 21114263772