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48768407532 = 22331372747779
BaseRepresentation
bin101101011010110100…
…101101011111101100
311122212202100210101000
4231122310231133230
51244334203020112
634223124120300
73344345424105
oct553264553754
9148782323330
1048768407532
1119756549439
129550536090
1347a28667a0
142508d393ac
1514066b87dc
hexb5ad2d7ec

48768407532 has 96 divisors (see below), whose sum is σ = 136352652800. Its totient is φ = 14984709696.

The previous prime is 48768407531. The next prime is 48768407557. The reversal of 48768407532 is 23570486784.

48768407532 is a `hidden beast` number, since 4 + 8 + 7 + 68 + 40 + 7 + 532 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48768407531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 996819 + ... + 1044597.

Almost surely, 248768407532 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 48768407532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68176326400).

48768407532 is an abundant number, since it is smaller than the sum of its proper divisors (87584245268).

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

48768407532 is a wasteful number, since it uses less digits than its factorization.

48768407532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48532 (or 48524 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 48768407532 in words is "forty-eight billion, seven hundred sixty-eight million, four hundred seven thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 727 1404 1454 2181 2908 4362 6543 8724 9451 13086 18902 19629 26172 28353 37804 39258 47779 56706 78516 85059 95558 113412 143337 170118 191116 255177 286674 340236 430011 510354 573348 621127 860022 1020708 1242254 1290033 1720044 1863381 2484508 2580066 3726762 5160132 5590143 7453524 11180286 16770429 22360572 33540858 34735333 67081716 69470666 104205999 138941332 208411998 312617997 416823996 451559329 625235994 903118658 937853991 1250471988 1354677987 1806237316 1875707982 2709355974 3751415964 4064033961 5418711948 8128067922 12192101883 16256135844 24384203766 48768407532