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21916578684 = 223721113260651
BaseRepresentation
bin10100011010010101…
…000111001101111100
32002120101220112221110
4110122111013031330
5324341121004214
614022432202020
71404053562600
oct243225071574
962511815843
1021916578684
119327378a50
1242b7999310
1320b3794570
1410bca67500
15884151159
hex51a54737c

21916578684 has 144 divisors (see below), whose sum is σ = 69888099456. Its totient is φ = 5254704000.

The previous prime is 21916578683. The next prime is 21916578701. The reversal of 21916578684 is 48687561912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21916578683) 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, 46242 + ... + 214409.

It is an arithmetic number, because the mean of its divisors is an integer number (485334024).

Almost surely, 221916578684 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 21916578684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34944049728).

21916578684 is an abundant number, since it is smaller than the sum of its proper divisors (47971520772).

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

21916578684 is a wasteful number, since it uses less digits than its factorization.

21916578684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260696 (or 260687 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 57.

The spelling of 21916578684 in words is "twenty-one billion, nine hundred sixteen million, five hundred seventy-eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 49 52 66 77 78 84 91 98 132 143 147 154 156 182 196 231 273 286 294 308 364 429 462 539 546 572 588 637 858 924 1001 1078 1092 1274 1617 1716 1911 2002 2156 2548 3003 3234 3822 4004 6006 6468 7007 7644 12012 14014 21021 28028 42042 84084 260651 521302 781953 1042604 1563906 1824557 2867161 3127812 3388463 3649114 5473671 5734322 6776926 7298228 8601483 10165389 10947342 11468644 12771899 13553852 17202966 20070127 20330778 21894684 23719241 25543798 34405932 37273093 38315697 40140254 40661556 47438482 51087596 60210381 71157723 74546186 76631394 80280508 94876964 111819279 120420762 140490889 142315446 149092372 153262788 166034687 223638558 240841524 260911651 280981778 284630892 332069374 421472667 447277116 498104061 521823302 561963556 664138748 782734953 842945334 996208122 1043646604 1565469906 1685890668 1826381557 1992416244 3130939812 3652763114 5479144671 7305526228 10958289342 21916578684