Search a number
-
+
128061260061952 = 287659108441209
BaseRepresentation
bin11101000111100010010101…
…111010100101110100000000
3121210102112111101210000121011
4131013202111322211310000
5113241123430033440302
61132210310344410304
735655056256142210
oct3507422572456400
9553375441700534
10128061260061952
1137893525833718
1212443168a76994
13565c1818416a9
14238a2ab688240
15ec12797705d7
hex747895ea5d00

128061260061952 has 72 divisors (see below), whose sum is σ = 292583059876800. Its totient is φ = 54800113815552.

The previous prime is 128061260061923. The next prime is 128061260061961. The reversal of 128061260061952 is 259160062160821.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 128061260061896 and 128061260061905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53039677 + ... + 55401532.

It is an arithmetic number, because the mean of its divisors is an integer number (4063653609400).

Almost surely, 2128061260061952 is an apocalyptic number.

It is an amenable number.

128061260061952 is an abundant number, since it is smaller than the sum of its proper divisors (164521799814848).

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

128061260061952 is an equidigital number, since it uses as much as digits as its factorization.

128061260061952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108441891 (or 108441877 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The spelling of 128061260061952 in words is "one hundred twenty-eight trillion, sixty-one billion, two hundred sixty million, sixty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 659 896 1318 1792 2636 4613 5272 9226 10544 18452 21088 36904 42176 73808 84352 147616 168704 295232 590464 1180928 108441209 216882418 433764836 759088463 867529672 1518176926 1735059344 3036353852 3470118688 6072707704 6940237376 12145415408 13880474752 24290830816 27760949504 48581661632 71462756731 97163323264 142925513462 194326646528 285851026924 500239297117 571702053848 1000478594234 1143404107696 2000957188468 2286808215392 4001914376936 4573616430784 8003828753872 9147232861568 16007657507744 18294465723136 32015315015488 64030630030976 128061260061952