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23415400025532 = 22321961735176343
BaseRepresentation
bin1010101001011110100101…
…00110011100110110111100
310001220111020111011111122200
411110233102212130312330
511032114214401304112
6121444515233511500
74634464304155434
oct524572246346674
9101814214144580
1023415400025532
117508462970239
12276208a112590
13100b0a7b1b0c8
145ad45070b2c4
152a914cea3cdc
hex154bd299cdbc

23415400025532 has 144 divisors (see below), whose sum is σ = 63334957969920. Its totient is φ = 7272033552000.

The previous prime is 23415400025527. The next prime is 23415400025561. The reversal of 23415400025532 is 23552000451432.

23415400025532 is a `hidden beast` number, since 2 + 3 + 41 + 540 + 0 + 0 + 25 + 53 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 306674953 + ... + 306751295.

Almost surely, 223415400025532 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 23415400025532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31667478984960).

23415400025532 is an abundant number, since it is smaller than the sum of its proper divisors (39919557944388).

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

23415400025532 is a wasteful number, since it uses less digits than its factorization.

23415400025532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83784 (or 83779 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 23415400025532 its reverse (23552000451432), we get a palindrome (46967400476964).

The spelling of 23415400025532 in words is "twenty-three trillion, four hundred fifteen billion, four hundred million, twenty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 61 76 114 122 171 183 228 244 342 366 549 684 732 1098 1159 2196 2318 3477 4636 6954 7351 10431 13908 14702 20862 22053 29404 41724 44106 66159 76343 88212 132318 139669 152686 229029 264636 279338 305372 419007 448411 458058 558676 687087 838014 896822 916116 1257021 1345233 1374174 1450517 1676028 1793644 2514042 2690466 2748348 2901034 4035699 4351551 4656923 5028084 5380932 5802068 8071398 8519809 8703102 9313846 13054653 13970769 16142796 17039618 17406204 18627692 25559427 26109306 27941538 34079236 41912307 51118854 52218612 55883076 76678281 83824614 88481537 102237708 153356562 167649228 176963074 265444611 306713124 353926148 530889222 561197393 796333833 1061778444 1122394786 1592667666 1683592179 2244789572 3185335332 3367184358 5050776537 6734368716 10101553074 10662750467 20203106148 21325500934 31988251401 34233040973 42651001868 63976502802 68466081946 95964754203 102699122919 127953005604 136932163892 191929508406 205398245838 308097368757 383859016812 410796491676 616194737514 650427778487 1232389475028 1300855556974 1951283335461 2601711113948 3902566670922 5853850006383 7805133341844 11707700012766 23415400025532