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23240261551464 = 23331795737104773
BaseRepresentation
bin1010100100011000010111…
…00010001100010101101000
310001021202011210020012021000
411102030023202030111220
511021232023424121324
6121232232340315000
74616024226536346
oct522141342142550
9101252153205230
1023240261551464
117450159856491
1227341506a2a60
13cc7716440829
145a4b98448996
152a47ec49c9c9
hex15230b88c568

23240261551464 has 128 divisors (see below), whose sum is σ = 64928866896000. Its totient is φ = 7702059612672.

The previous prime is 23240261551459. The next prime is 23240261551489. The reversal of 23240261551464 is 46415516204232.

It is a happy number.

23240261551464 is a `hidden beast` number, since 2 + 3 + 2 + 40 + 26 + 15 + 514 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221762982 + ... + 221867754.

It is an arithmetic number, because the mean of its divisors is an integer number (507256772625).

Almost surely, 223240261551464 is an apocalyptic number.

23240261551464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23240261551464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32464433448000).

23240261551464 is an abundant number, since it is smaller than the sum of its proper divisors (41688605344536).

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

23240261551464 is a wasteful number, since it uses less digits than its factorization.

23240261551464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110704 (or 110694 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

Adding to 23240261551464 its reverse (46415516204232), we get a palindrome (69655777755696).

The spelling of 23240261551464 in words is "twenty-three trillion, two hundred forty billion, two hundred sixty-one million, five hundred fifty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 179 216 358 537 716 1074 1432 1611 2148 3222 4296 4833 5737 6444 9666 11474 12888 17211 19332 22948 34422 38664 45896 51633 68844 103266 104773 137688 154899 206532 209546 309798 314319 413064 419092 619596 628638 838184 942957 1026923 1239192 1257276 1885914 2053846 2514552 2828871 3080769 3771828 4107692 5657742 6161538 7543656 8215384 9242307 11315484 12323076 18484614 18754367 22630968 24646152 27726921 36969228 37508734 55453842 56263101 73938456 75017468 110907684 112526202 150034936 168789303 221815368 225052404 337578606 450104808 506367909 601082701 675157212 1012735818 1202165402 1350314424 1803248103 2025471636 2404330804 3606496206 4050943272 4808661608 5409744309 7212992412 10819488618 14425984824 16229232927 21638977236 32458465854 43277954472 64916931708 107593803479 129833863416 215187606958 322781410437 430375213916 645562820874 860750427832 968344231311 1291125641748 1936688462622 2582251283496 2905032693933 3873376925244 5810065387866 7746753850488 11620130775732 23240261551464