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23379655296 = 273235944867
BaseRepresentation
bin10101110001100010…
…010011101010000000
32020100100221112202010
4111301202103222000
5340340142432141
614423535052520
71455240535224
oct256142235200
966310845663
1023379655296
119a0822a078
124645971140
13228792947a
1411bb0b8784
1591c805416
hex571893a80

23379655296 has 128 divisors (see below), whose sum is σ = 65902118400. Its totient is φ = 7327874048.

The previous prime is 23379655291. The next prime is 23379655307. The reversal of 23379655296 is 69255697332.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (23379655291) 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, 498655 + ... + 543521.

It is an arithmetic number, because the mean of its divisors is an integer number (514860300).

Almost surely, 223379655296 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 23379655296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32951059200).

23379655296 is an abundant number, since it is smaller than the sum of its proper divisors (42522463104).

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

23379655296 is a wasteful number, since it uses less digits than its factorization.

23379655296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44966 (or 44954 counting only the distinct ones).

The product of its digits is 18370800, while the sum is 57.

The spelling of 23379655296 in words is "twenty-three billion, three hundred seventy-nine million, six hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 59 64 69 92 96 118 128 138 177 184 192 236 276 354 368 384 472 552 708 736 944 1104 1357 1416 1472 1888 2208 2714 2832 2944 3776 4071 4416 5428 5664 7552 8142 8832 10856 11328 16284 21712 22656 32568 43424 44867 65136 86848 89734 130272 134601 173696 179468 260544 269202 358936 521088 538404 717872 1031941 1076808 1435744 2063882 2153616 2647153 2871488 3095823 4127764 4307232 5294306 5742976 6191646 7941459 8255528 8614464 10588612 12383292 15882918 16511056 17228928 21177224 24766584 31765836 33022112 42354448 49533168 60884519 63531672 66044224 84708896 99066336 121769038 127063344 132088448 169417792 182653557 198132672 243538076 254126688 338835584 365307114 396265344 487076152 508253376 730614228 974152304 1016506752 1461228456 1948304608 2922456912 3896609216 5844913824 7793218432 11689827648 23379655296