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23126827932 = 223213531934831
BaseRepresentation
bin10101100010011101…
…110110001110011100
32012200202012120210200
4111202131312032130
5334330431443212
614342504103500
71446050536215
oct254235661634
965622176720
1023126827932
11989854513a
124595164b90
132247436b90
1411956a440c
159055136dc
hex56277639c

23126827932 has 144 divisors (see below), whose sum is σ = 64489920768. Its totient is φ = 6944071680.

The previous prime is 23126827921. The next prime is 23126827967. The reversal of 23126827932 is 23972862132.

23126827932 is a `hidden beast` number, since 2 + 312 + 68 + 279 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4784757 + ... + 4789587.

It is an arithmetic number, because the mean of its divisors is an integer number (447846672).

Almost surely, 223126827932 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 23126827932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32244960384).

23126827932 is an abundant number, since it is smaller than the sum of its proper divisors (41363092836).

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

23126827932 is a wasteful number, since it uses less digits than its factorization.

23126827932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100 (or 5095 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 23126827932 in words is "twenty-three billion, one hundred twenty-six million, eight hundred twenty-seven thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 193 212 234 318 386 468 477 579 636 689 772 954 1158 1378 1737 1908 2067 2316 2509 2756 3474 4134 4831 5018 6201 6948 7527 8268 9662 10036 10229 12402 14493 15054 19324 20458 22581 24804 28986 30108 30687 40916 43479 45162 57972 61374 62803 86958 90324 92061 122748 125606 132977 173916 184122 188409 251212 256043 265954 368244 376818 398931 512086 531908 565227 753636 768129 797862 932383 1024172 1130454 1196793 1536258 1595724 1864766 2260908 2304387 2393586 2797149 3072516 3328559 3729532 4608774 4787172 5594298 6657118 8391447 9217548 9985677 11188596 12120979 13314236 16782894 19971354 24241958 29957031 33565788 36362937 39942708 48483916 49416299 59914062 72725874 98832598 109088811 119828124 145451748 148248897 197665196 218177622 296497794 436355244 444746691 592995588 642411887 889493382 1284823774 1778986764 1927235661 2569647548 3854471322 5781706983 7708942644 11563413966 23126827932