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21346552384 = 2617313891627
BaseRepresentation
bin10011111000010110…
…101000101001000000
32001002200022012212021
4103320112220221000
5322204204134014
613450110411224
71353662462413
oct237026505100
961080265767
1021346552384
119064632833
124178b00b14
1320226619b1
141067083b7a
1584e0a4624
hex4f85a8a40

21346552384 has 112 divisors (see below), whose sum is σ = 46445667840. Its totient is φ = 9690439680.

The previous prime is 21346552363. The next prime is 21346552397. The reversal of 21346552384 is 48325564312.

It is a self number, because there is not a number n which added to its sum of digits gives 21346552384.

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, 13119379 + ... + 13121005.

Almost surely, 221346552384 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 21346552384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23222833920).

21346552384 is an abundant number, since it is smaller than the sum of its proper divisors (25099115456).

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

21346552384 is a wasteful number, since it uses less digits than its factorization.

21346552384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2066 counting only the distinct ones).

The product of its digits is 691200, while the sum is 43.

The spelling of 21346552384 in words is "twenty-one billion, three hundred forty-six million, five hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 136 248 272 389 496 527 544 778 992 1054 1088 1556 1627 1984 2108 3112 3254 4216 6224 6508 6613 8432 12059 12448 13016 13226 16864 24118 24896 26032 26452 27659 33728 48236 50437 52064 52904 55318 96472 100874 104128 105808 110636 192944 201748 205003 211616 221272 385888 403496 410006 423232 442544 632903 771776 806992 820012 857429 885088 1265806 1613984 1640024 1714858 1770176 2531612 3227968 3280048 3429716 5063224 6560096 6859432 10126448 10759351 13120192 13718864 19619993 20252896 21518702 27437728 39239986 40505792 43037404 54875456 78479972 86074808 156959944 172149616 313919888 333539881 344299232 627839776 667079762 688598464 1255679552 1334159524 2668319048 5336638096 10673276192 21346552384