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23893439832 = 233310310710037
BaseRepresentation
bin10110010000001010…
…001111010101011000
32021200011201111122000
4112100022033111120
5342413210033312
614550531201000
71504046613303
oct262012172530
967604644560
1023893439832
11a151250a99
124769a46160
13233a1c98a2
14122941bb3a
1594c992adc
hex59028f558

23893439832 has 128 divisors (see below), whose sum is σ = 67648089600. Its totient is φ = 7812664704.

The previous prime is 23893439789. The next prime is 23893439879.

23893439832 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 2375518 + ... + 2385554.

It is an arithmetic number, because the mean of its divisors is an integer number (528500700).

Almost surely, 223893439832 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 23893439832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33824044800).

23893439832 is an abundant number, since it is smaller than the sum of its proper divisors (43754649768).

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

23893439832 is a wasteful number, since it uses less digits than its factorization.

23893439832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10262 (or 10252 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 23893439832 in words is "twenty-three billion, eight hundred ninety-three million, four hundred thirty-nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 103 107 108 206 214 216 309 321 412 428 618 642 824 856 927 963 1236 1284 1854 1926 2472 2568 2781 2889 3708 3852 5562 5778 7416 7704 10037 11021 11124 11556 20074 22042 22248 23112 30111 33063 40148 44084 60222 66126 80296 88168 90333 99189 120444 132252 180666 198378 240888 264504 270999 297567 361332 396756 541998 595134 722664 793512 1033811 1073959 1083996 1190268 2067622 2147918 2167992 2380536 3101433 3221877 4135244 4295836 6202866 6443754 8270488 8591672 9304299 9665631 12405732 12887508 18608598 19331262 24811464 25775016 27912897 28996893 37217196 38662524 55825794 57993786 74434392 77325048 110617777 111651588 115987572 221235554 223303176 231975144 331853331 442471108 663706662 884942216 995559993 1327413324 1991119986 2654826648 2986679979 3982239972 5973359958 7964479944 11946719916 23893439832