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22463136096 = 2536722315661
BaseRepresentation
bin10100111010111010…
…000100000101100000
32010222111100112202120
4110322322010011200
5332001030323341
614152554544240
71423441335462
oct247272040540
963874315676
1022463136096
119587944695
12442aa38080
13216ca9ab0b
14113149c132
158b7114066
hex53ae84160

22463136096 has 96 divisors (see below), whose sum is σ = 60118023168. Its totient is φ = 7342410240.

The previous prime is 22463136079. The next prime is 22463136103. The reversal of 22463136096 is 69063136422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 1426506 + ... + 1442166.

It is an arithmetic number, because the mean of its divisors is an integer number (626229408).

Almost surely, 222463136096 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 22463136096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30059011584).

22463136096 is an abundant number, since it is smaller than the sum of its proper divisors (37654887072).

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

22463136096 is a wasteful number, since it uses less digits than its factorization.

22463136096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15964 (or 15956 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 22463136096 in words is "twenty-two billion, four hundred sixty-three million, one hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 223 268 402 446 536 669 804 892 1072 1338 1608 1784 2144 2676 3216 3568 5352 6432 7136 10704 14941 15661 21408 29882 31322 44823 46983 59764 62644 89646 93966 119528 125288 179292 187932 239056 250576 358584 375864 478112 501152 717168 751728 1049287 1434336 1503456 2098574 3147861 3492403 4197148 6295722 6984806 8394296 10477209 12591444 13969612 16788592 20954418 25182888 27939224 33577184 41908836 50365776 55878448 83817672 100731552 111756896 167635344 233991001 335270688 467982002 701973003 935964004 1403946006 1871928008 2807892012 3743856016 5615784024 7487712032 11231568048 22463136096