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23982311663604 = 22327359327181043
BaseRepresentation
bin1010111001111110100010…
…01010101110011111110100
310010220200112112102121122200
411130333101022232133310
511120411233241213404
6123001153305424500
75023444016451120
oct534772112563764
9103820475377580
1023982311663604
117706928797778
122833b2379b130
13104c6a3601818
145cca702dc580
152b8c7ceec839
hex15cfd12ae7f4

23982311663604 has 144 divisors (see below), whose sum is σ = 69497317693440. Its totient is φ = 6830829195840.

The previous prime is 23982311663593. The next prime is 23982311663647. The reversal of 23982311663604 is 40636611328932.

23982311663604 is a `hidden beast` number, since 2 + 3 + 9 + 8 + 23 + 1 + 1 + 6 + 6 + 3 + 604 = 666.

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, 295880307 + ... + 295961349.

It is an arithmetic number, because the mean of its divisors is an integer number (482620261760).

Almost surely, 223982311663604 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 23982311663604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34748658846720).

23982311663604 is an abundant number, since it is smaller than the sum of its proper divisors (45515006029836).

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

23982311663604 is a wasteful number, since it uses less digits than its factorization.

23982311663604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84690 (or 84685 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 23982311663604 in words is "twenty-three trillion, nine hundred eighty-two billion, three hundred eleven million, six hundred sixty-three thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 359 718 1077 1436 2154 2513 3231 3271 4308 5026 6462 6542 7539 9813 10052 12924 13084 15078 19626 22617 22897 29439 30156 39252 45234 45794 58878 68691 81043 90468 91588 117756 137382 162086 206073 243129 274764 324172 412146 486258 567301 729387 824292 972516 1134602 1174289 1458774 1701903 2269204 2348578 2917548 3403806 3522867 4697156 5105709 6807612 7045734 8220023 10211418 10568601 14091468 16440046 20422836 21137202 24660069 29094437 32880092 42274404 49320138 58188874 73980207 87283311 98640276 116377748 147960414 174566622 203661059 261849933 265091653 295920828 349133244 407322118 523699866 530183306 610983177 795274959 814644236 1047399732 1060366612 1221966354 1590549918 1832949531 1855641571 2385824877 2443932708 3181099836 3665899062 3711283142 4771649754 5566924713 7331798124 7422566284 9543299508 11133849426 16700774139 22267698852 33401548278 66803096556 95167903427 190335806854 285503710281 380671613708 571007420562 666175323989 856511130843 1142014841124 1332350647978 1713022261686 1998525971967 2664701295956 3426044523372 3997051943934 5995577915901 7994103887868 11991155831802 23982311663604