Search a number
-
+
23656222265632 = 25111013671813073
BaseRepresentation
bin1010110000011111001001…
…01110011001000100100000
310002202111211210200212000121
411120033210232121010200
511100040420400000012
6122151303554130024
74661051145345625
oct530174456310440
9102674753625017
1023656222265632
1175a0602830650
1227a0898b80914
131027a0665b628
145bad7827434c
152b05451cba07
hex1583e4b99120

23656222265632 has 96 divisors (see below), whose sum is σ = 51449992521984. Its totient is φ = 10617349632000.

The previous prime is 23656222265617. The next prime is 23656222265651.

It is a happy number.

23656222265632 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×236562222656323 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23656222265632.

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 15 ways as a sum of consecutive naturals, for example, 12141048 + ... + 13954120.

It is an arithmetic number, because the mean of its divisors is an integer number (535937422104).

Almost surely, 223656222265632 is an apocalyptic number.

23656222265632 is a gapful number since it is divisible by the number (22) 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 23656222265632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25724996260992).

23656222265632 is an abundant number, since it is smaller than the sum of its proper divisors (27793770256352).

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

23656222265632 is a wasteful number, since it uses less digits than its factorization.

23656222265632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813562 (or 1813554 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 52.

The spelling of 23656222265632 in words is "twenty-three trillion, six hundred fifty-six billion, two hundred twenty-two million, two hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 352 367 404 734 808 1111 1468 1616 2222 2936 3232 4037 4444 5872 8074 8888 11744 16148 17776 32296 35552 37067 64592 74134 129184 148268 296536 407737 593072 815474 1186144 1630948 1813073 3261896 3626146 6523792 7252292 13047584 14504584 19943803 29009168 39887606 58018336 79775212 159550424 183120373 319100848 366240746 638201696 665397791 732481492 1330795582 1464962984 2014324103 2661591164 2929925968 4028648206 5323182328 5859851936 7319375701 8057296412 10646364656 14638751402 16114592824 21292729312 29277502804 32229185648 58555005608 64458371296 67205176891 117110011216 134410353782 234220022432 268820707564 537641415128 739256945801 1075282830256 1478513891602 2150565660512 2957027783204 5914055566408 11828111132816 23656222265632