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21516694304 = 2572329144013
BaseRepresentation
bin10100000010011111…
…101011001100100000
32001112112110022200212
4110002133223030200
5323031233204204
613515025233252
71361126612120
oct240237531440
961475408625
1021516694304
119141681996
124205a92828
13204b9937a1
1410818d2c80
1585deb1c6e
hex5027eb320

21516694304 has 96 divisors (see below), whose sum is σ = 52259800320. Its totient is φ = 8516293632.

The previous prime is 21516694291. The next prime is 21516694313. The reversal of 21516694304 is 40349661512.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77402 + ... + 221414.

It is an arithmetic number, because the mean of its divisors is an integer number (544372920).

Almost surely, 221516694304 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 21516694304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26129900160).

21516694304 is an abundant number, since it is smaller than the sum of its proper divisors (30743106016).

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

21516694304 is a wasteful number, since it uses less digits than its factorization.

21516694304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144082 (or 144074 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 21516694304 in words is "twenty-one billion, five hundred sixteen million, six hundred ninety-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 29 32 46 56 58 92 112 116 161 184 203 224 232 322 368 406 464 644 667 736 812 928 1288 1334 1624 2576 2668 3248 4669 5152 5336 6496 9338 10672 18676 21344 37352 74704 144013 149408 288026 576052 1008091 1152104 2016182 2304208 3312299 4032364 4176377 4608416 6624598 8064728 8352754 13249196 16129456 16705508 23186093 26498392 29234639 32258912 33411016 46372186 52996784 58469278 66822032 92744372 96056671 105993568 116938556 133644064 185488744 192113342 233877112 370977488 384226684 467754224 672396697 741954976 768453368 935508448 1344793394 1536906736 2689586788 3073813472 5379173576 10758347152 21516694304