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23296082436 = 2235118326251
BaseRepresentation
bin10101101100100011…
…100000001000000100
32020010112200121100000
4111230203200020010
5340202244114221
614411351521300
71453204301454
oct255443401004
966115617300
1023296082436
1199750385a0
124621989230
132273517a83
1411add61d64
159152e7e26
hex56c8e0204

23296082436 has 144 divisors (see below), whose sum is σ = 67425216768. Its totient is φ = 6974100000.

The previous prime is 23296082429. The next prime is 23296082477. The reversal of 23296082436 is 63428069232.

It is a happy number.

23296082436 is a `hidden beast` number, since 2 + 3 + 2 + 9 + 608 + 2 + 4 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23296082391 and 23296082400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 874311 + ... + 900561.

It is an arithmetic number, because the mean of its divisors is an integer number (468230672).

Almost surely, 223296082436 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 23296082436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33712608384).

23296082436 is an abundant number, since it is smaller than the sum of its proper divisors (44129134332).

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

23296082436 is a wasteful number, since it uses less digits than its factorization.

23296082436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26364 (or 26350 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 23296082436 in words is "twenty-three billion, two hundred ninety-six million, eighty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 83 99 108 132 162 166 198 243 249 297 324 332 396 486 498 594 747 891 913 972 996 1188 1494 1782 1826 2241 2673 2739 2988 3564 3652 4482 5346 5478 6723 8217 8964 10692 10956 13446 16434 20169 24651 26251 26892 32868 40338 49302 52502 73953 78753 80676 98604 105004 147906 157506 221859 236259 288761 295812 315012 443718 472518 577522 708777 866283 887436 945036 1155044 1417554 1732566 2126331 2178833 2598849 2835108 3465132 4252662 4357666 5197698 6378993 6536499 7796547 8505324 8715332 10395396 12757986 13072998 15593094 19609497 23389641 23967163 25515972 26145996 31186188 39218994 46779282 47934326 58828491 70168923 71901489 78437988 93558564 95868652 117656982 140337846 143802978 176485473 215704467 235313964 280675692 287605956 352970946 431408934 529456419 647113401 705941892 862817868 1058912838 1294226802 1941340203 2117825676 2588453604 3882680406 5824020609 7765360812 11648041218 23296082436