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21979978344 = 23331032833491
BaseRepresentation
bin10100011110000110…
…111101101001101000
32002201211012120221000
4110132012331221220
5330003333301334
614033015115000
71405453506342
oct243606755150
962654176830
1021979978344
11935a141065
124315072a60
1320c3961a5c
1410c724c292
158899c6299
hex51e1bda68

21979978344 has 128 divisors (see below), whose sum is σ = 61883827200. Its totient is φ = 7227817920.

The previous prime is 21979978337. The next prime is 21979978357. The reversal of 21979978344 is 44387997912.

21979978344 is a `hidden beast` number, since 219 + 7 + 9 + 9 + 78 + 344 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6294439 + ... + 6297929.

It is an arithmetic number, because the mean of its divisors is an integer number (483467400).

Almost surely, 221979978344 is an apocalyptic number.

21979978344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21979978344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30941913600).

21979978344 is an abundant number, since it is smaller than the sum of its proper divisors (39903848856).

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

21979978344 is a wasteful number, since it uses less digits than its factorization.

21979978344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892 (or 3882 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 21979978344 in words is "twenty-one billion, nine hundred seventy-nine million, nine hundred seventy-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 103 108 206 216 283 309 412 566 618 824 849 927 1132 1236 1698 1854 2264 2472 2547 2781 3396 3491 3708 5094 5562 6792 6982 7416 7641 10188 10473 11124 13964 15282 20376 20946 22248 27928 29149 30564 31419 41892 58298 61128 62838 83784 87447 94257 116596 125676 174894 188514 233192 251352 262341 349788 359573 377028 524682 699576 719146 754056 787023 987953 1049364 1078719 1438292 1574046 1975906 2098728 2157438 2876584 2963859 3148092 3236157 3951812 4314876 5927718 6296184 6472314 7903624 8629752 8891577 9708471 11855436 12944628 17783154 19416942 23710872 25889256 26674731 35566308 38833884 53349462 71132616 77667768 101759159 106698924 203518318 213397848 305277477 407036636 610554954 814073272 915832431 1221109908 1831664862 2442219816 2747497293 3663329724 5494994586 7326659448 10989989172 21979978344