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21259906976 = 2571149917291
BaseRepresentation
bin10011110011001100…
…000110111110100000
32000212122021011201002
4103303030012332200
5322020014010401
613433333331132
71351561141040
oct236314067640
960778234632
1021259906976
11901a732860
124153a96aa8
13200a715919
14105976b720
1584668ba6b
hex4f3306fa0

21259906976 has 96 divisors (see below), whose sum is σ = 52291008000. Its totient is φ = 8266003200.

The previous prime is 21259906973. The next prime is 21259906979. The reversal of 21259906976 is 67960995212.

It is an interprime number because it is at equal distance from previous prime (21259906973) and next prime (21259906979).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (21259906973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1220891 + ... + 1238181.

It is an arithmetic number, because the mean of its divisors is an integer number (544698000).

Almost surely, 221259906976 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 21259906976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26145504000).

21259906976 is an abundant number, since it is smaller than the sum of its proper divisors (31031101024).

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

21259906976 is a wasteful number, since it uses less digits than its factorization.

21259906976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17818 (or 17810 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 56.

The spelling of 21259906976 in words is "twenty-one billion, two hundred fifty-nine million, nine hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 499 616 998 1232 1996 2464 3493 3992 5489 6986 7984 10978 13972 15968 17291 21956 27944 34582 38423 43912 55888 69164 76846 87824 111776 121037 138328 153692 175648 190201 242074 276656 307384 380402 484148 553312 614768 760804 968296 1229536 1331407 1521608 1936592 2662814 3043216 3873184 5325628 6086432 8628209 10651256 17256418 21302512 34512836 42605024 60397463 69025672 94910299 120794926 138051344 189820598 241589852 276102688 379641196 483179704 664372093 759282392 966359408 1328744186 1518564784 1932718816 2657488372 3037129568 5314976744 10629953488 21259906976