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21329570704 = 2413433177523
BaseRepresentation
bin10011110111010101…
…110110101110010000
32001001111100110101011
4103313111312232100
5322140332230304
613444302420304
71353365234221
oct236725665620
961044313334
1021329570704
119055a94192
124173291694
13201bc97370
141064b03248
1584c84cc04
hex4f7576b90

21329570704 has 80 divisors (see below), whose sum is σ = 45689700672. Its totient is φ = 9583870464.

The previous prime is 21329570701. The next prime is 21329570707. The reversal of 21329570704 is 40707592312.

It is an interprime number because it is at equal distance from previous prime (21329570701) and next prime (21329570707).

It is not an unprimeable number, because it can be changed into a prime (21329570701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2831487 + ... + 2839009.

Almost surely, 221329570704 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 21329570704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22844850336).

21329570704 is an abundant number, since it is smaller than the sum of its proper divisors (24360129968).

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

21329570704 is a wasteful number, since it uses less digits than its factorization.

21329570704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7904 (or 7898 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

It can be divided in two parts, 2132 and 9570704, that added together give a square (9572836 = 30942).

The spelling of 21329570704 in words is "twenty-one billion, three hundred twenty-nine million, five hundred seventy thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 172 208 317 344 559 634 688 1118 1268 2236 2536 4121 4472 5072 7523 8242 8944 13631 15046 16484 27262 30092 32968 54524 60184 65936 97799 109048 120368 177203 195598 218096 323489 354406 391196 646978 708812 782392 1293956 1417624 1564784 2384791 2587912 2835248 4205357 4769582 5175824 8410714 9539164 16821428 19078328 31002283 33642856 38156656 62004566 67285712 102546013 124009132 205092026 248018264 410184052 496036528 820368104 1333098169 1640736208 2666196338 5332392676 10664785352 21329570704