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5007685912146 = 234172106960697
BaseRepresentation
bin100100011011111000101…
…0101110000011001010010
3122201201201020111220210000
41020313301111300121102
51124021220043142041
614352255452150430
71024536060636231
oct110676125603122
918651636456700
105007685912146
111660825169075
1268a633a68416
132a42b8516188
14134532450b18
158a3dc378bb6
hex48df1570652

5007685912146 has 60 divisors (see below), whose sum is σ = 11919807145818. Its totient is φ = 1571038702848.

The previous prime is 5007685912133. The next prime is 5007685912277. The reversal of 5007685912146 is 6412195867005.

It is a happy number.

5007685912146 is a `hidden beast` number, since 5 + 0 + 0 + 7 + 6 + 8 + 591 + 2 + 1 + 46 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4367828304225 + 639857607921 = 2089935^2 + 799911^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 5007685912092 and 5007685912101.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 53433531 + ... + 53527166.

Almost surely, 25007685912146 is an apocalyptic number.

5007685912146 is an abundant number, since it is smaller than the sum of its proper divisors (6912121233672).

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

5007685912146 is a wasteful number, since it uses less digits than its factorization.

5007685912146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106960745 (or 106960719 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 5007685912146 in words is "five trillion, seven billion, six hundred eighty-five million, nine hundred twelve thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 289 306 459 578 867 918 1377 1734 2601 2754 5202 7803 15606 23409 46818 106960697 213921394 320882091 641764182 962646273 1818331849 1925292546 2887938819 3636663698 5454995547 5775877638 8663816457 10909991094 16364986641 17327632914 30911641433 32729973282 49094959923 61823282866 92734924299 98189919846 147284879769 185469848598 278204772897 294569759538 556409545794 834614318691 1669228637382 2503842956073 5007685912146