Search a number
-
+
23894772048 = 2432791126021
BaseRepresentation
bin10110010000001111…
…010100100101010000
32021200021020012002100
4112100033110211100
5342414030201143
614551015520400
71504064132310
oct262017244520
967607205070
1023894772048
11a151a809a4
12476a389100
13233a575094
141229687440
1594cb576d3
hex5903d4950

23894772048 has 120 divisors (see below), whose sum is σ = 76512174336. Its totient is φ = 6819321600.

The previous prime is 23894772019. The next prime is 23894772067. The reversal of 23894772048 is 84027749832.

It is a happy number.

It is a super-2 number, since 2×238947720482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23894771985 and 23894772003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 905278 + ... + 931298.

Almost surely, 223894772048 is an apocalyptic number.

23894772048 is a gapful number since it is divisible by the number (28) 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 23894772048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38256087168).

23894772048 is an abundant number, since it is smaller than the sum of its proper divisors (52617402288).

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

23894772048 is a wasteful number, since it uses less digits than its factorization.

23894772048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26953 (or 26944 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 23894772048 in words is "twenty-three billion, eight hundred ninety-four million, seven hundred seventy-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 911 1008 1822 2733 3644 5466 6377 7288 8199 10932 12754 14576 16398 19131 21864 25508 26021 32796 38262 43728 51016 52042 57393 65592 76524 78063 102032 104084 114786 131184 153048 156126 182147 208168 229572 234189 306096 312252 364294 416336 459144 468378 546441 624504 728588 918288 936756 1092882 1249008 1457176 1639323 1873512 2185764 2914352 3278646 3747024 4371528 6557292 8743056 13114584 23705131 26229168 47410262 71115393 94820524 142230786 165935917 189641048 213346179 284461572 331871834 379282096 426692358 497807751 568923144 663743668 853384716 995615502 1137846288 1327487336 1493423253 1706769432 1991231004 2654974672 2986846506 3413538864 3982462008 5973693012 7964924016 11947386024 23894772048