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21892112712 = 23321722218053
BaseRepresentation
bin10100011000110111…
…110010000101001000
32002111200212112221100
4110120313302011020
5324313340101322
614020155541400
71403335613331
oct243067620510
962450775840
1021892112712
119314588338
1242ab75a860
1320ab6a9462
1410b96d9288
15881e1bdac
hex518df2148

21892112712 has 96 divisors (see below), whose sum is σ = 62814917880. Its totient is φ = 6864168960.

The previous prime is 21892112699. The next prime is 21892112713. The reversal of 21892112712 is 21721129812.

It can be written as a sum of positive squares in 4 ways, for example, as 21890386116 + 1726596 = 147954^2 + 1314^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21892112713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2714478 + ... + 2722530.

Almost surely, 221892112712 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 21892112712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31407458940).

21892112712 is an abundant number, since it is smaller than the sum of its proper divisors (40922805168).

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

21892112712 is a wasteful number, since it uses less digits than its factorization.

21892112712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10303 (or 10296 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The spelling of 21892112712 in words is "twenty-one billion, eight hundred ninety-two million, one hundred twelve thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 2221 4442 6663 8053 8884 13326 16106 17768 19989 24159 26652 32212 37757 39978 48318 53304 64424 72477 75514 79956 96636 113271 136901 144954 151028 159912 193272 226542 273802 289908 302056 339813 410703 453084 547604 579816 679626 821406 906168 1095208 1232109 1359252 1642812 2464218 2718504 3285624 4928436 9856872 17885713 35771426 53657139 71542852 107314278 143085704 160971417 214628556 304057121 321942834 429257112 608114242 643885668 912171363 1216228484 1287771336 1824342726 2432456968 2736514089 3648685452 5473028178 7297370904 10946056356 21892112712