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23426113547412 = 22325342152335573
BaseRepresentation
bin1010101001110010100010…
…01011010010110010010100
310001221111220010112210210100
411110321101023102302110
511032303140032004122
6121453450305454100
74635323634460212
oct524712113226224
9101844803483710
1023426113547412
117511a6041a854
12276417a041330
13100c0c45a0574
145adb89527cb2
152a9578805aac
hex154e512d2c94

23426113547412 has 144 divisors (see below), whose sum is σ = 60499012483728. Its totient is φ = 7640340664320.

The previous prime is 23426113547339. The next prime is 23426113547429. The reversal of 23426113547412 is 21474531162432.

23426113547412 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 61 + 1 + 3 + 547 + 41 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1284609160836 + 22141504386576 = 1133406^2 + 4705476^2 .

It is a congruent number.

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, 4203498658 + ... + 4203504230.

It is an arithmetic number, because the mean of its divisors is an integer number (420132031137).

Almost surely, 223426113547412 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 23426113547412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30249506241864).

23426113547412 is an abundant number, since it is smaller than the sum of its proper divisors (37072898936316).

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

23426113547412 is a wasteful number, since it uses less digits than its factorization.

23426113547412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11290 (or 11285 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 23426113547412 in words is "twenty-three trillion, four hundred twenty-six billion, one hundred thirteen million, five hundred forty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 421 477 636 842 954 1263 1684 1908 2526 3789 5052 5233 5573 7578 10466 11146 15156 15699 16719 20932 22292 22313 31398 33438 44626 47097 50157 62796 66876 66939 89252 94194 100314 133878 188388 200628 200817 267756 277349 295369 401634 554698 590738 803268 832047 886107 1109396 1181476 1664094 1772214 2203093 2346233 2496141 2658321 3328188 3544428 4406186 4692466 4992282 5316642 6609279 7038699 8812372 9384932 9984564 10633284 13218558 14077398 19827837 21116097 26437116 28154796 29163509 39655674 42232194 58327018 79311348 84464388 87490527 116654036 116763929 124350349 174981054 233527858 248700698 262471581 349962108 350291787 373051047 467055716 497401396 524943162 700583574 746102094 1049886324 1050875361 1119153141 1401167148 1492204188 1545665977 2101750722 2238306282 3091331954 4203501444 4476612564 4636997931 6182663908 9273995862 12277837289 13910993793 18547991724 24555674578 27821987586 36833511867 49111349156 55643975172 73667023734 110500535601 147334047468 221001071202 442002142404 650725376317 1301450752634 1952176128951 2602901505268 3904352257902 5856528386853 7808704515804 11713056773706 23426113547412