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21269588992 = 210103201661
BaseRepresentation
bin10011110011110001…
…000010110000000000
32000220022111001221021
4103303301002300000
5322030003321432
613434321035224
71352036344351
oct236361026000
960808431837
1021269588992
119025146023
124157185b14
13200c725822
14105ab6bd28
15847450697
hex4f3c42c00

21269588992 has 44 divisors (see below), whose sum is σ = 42931419856. Its totient is φ = 10531491840.

The previous prime is 21269588911. The next prime is 21269588993. The reversal of 21269588992 is 29988596212.

It is a self number, because there is not a number n which added to its sum of digits gives 21269588992.

It is not an unprimeable number, because it can be changed into a prime (21269588993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4642 + ... + 206302.

Almost surely, 221269588992 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 21269588992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21465709928).

21269588992 is an abundant number, since it is smaller than the sum of its proper divisors (21661830864).

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

21269588992 is a wasteful number, since it uses less digits than its factorization.

21269588992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201784 (or 201766 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 61.

The spelling of 21269588992 in words is "twenty-one billion, two hundred sixty-nine million, five hundred eighty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 512 824 1024 1648 3296 6592 13184 26368 52736 105472 201661 403322 806644 1613288 3226576 6453152 12906304 20771083 25812608 41542166 51625216 83084332 103250432 166168664 206500864 332337328 664674656 1329349312 2658698624 5317397248 10634794496 21269588992