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48623082432 = 2636130713523
BaseRepresentation
bin101101010010001010…
…010101101111000000
311122111121220111210220
4231102022111233000
51244040002114212
634200453223040
73340632244551
oct552212255700
9148447814726
1048623082432
111969150a551
12950b931a80
13477b7136c2
1424d390a328
1513e8a5e38c
hexb52295bc0

48623082432 has 112 divisors (see below), whose sum is σ = 131193186432. Its totient is φ = 15888890880.

The previous prime is 48623082367. The next prime is 48623082433. The reversal of 48623082432 is 23428032684.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48623082433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3588823 + ... + 3602345.

It is an arithmetic number, because the mean of its divisors is an integer number (1171367736).

Almost surely, 248623082432 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 48623082432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65596593216).

48623082432 is an abundant number, since it is smaller than the sum of its proper divisors (82570104000).

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

48623082432 is a wasteful number, since it uses less digits than its factorization.

48623082432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13906 (or 13896 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 48623082432 in words is "forty-eight billion, six hundred twenty-three million, eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 307 366 488 614 732 921 976 1228 1464 1842 1952 2456 2928 3684 3904 4912 5856 7368 9824 11712 13523 14736 18727 19648 27046 29472 37454 40569 54092 56181 58944 74908 81138 108184 112362 149816 162276 216368 224724 299632 324552 432736 449448 599264 649104 824903 865472 898896 1198528 1298208 1649806 1797792 2474709 2596416 3299612 3595584 4151561 4949418 6599224 8303122 9898836 12454683 13198448 16606244 19797672 24909366 26396896 33212488 39595344 49818732 52793792 66424976 79190688 99637464 132849952 158381376 199274928 253245221 265699904 398549856 506490442 759735663 797099712 1012980884 1519471326 2025961768 3038942652 4051923536 6077885304 8103847072 12155770608 16207694144 24311541216 48623082432