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2513788140996 = 2232117151887701
BaseRepresentation
bin100100100101001001011…
…100101111110111000100
322220022112012212200212100
4210211021130233313010
5312141214231002441
65202452431552100
7346421004434256
oct44451134576704
98808465780770
102513788140996
1188a100964730
1234723268b630
13153084143c52
148994cd9bcd6
15455c9345cb6
hex2494972fdc4

2513788140996 has 72 divisors (see below), whose sum is σ = 6932938416768. Its totient is φ = 761646600000.

The previous prime is 2513788140917. The next prime is 2513788141013. The reversal of 2513788140996 is 6990418873152.

2513788140996 is a `hidden beast` number, since 2 + 5 + 137 + 8 + 8 + 1 + 409 + 96 = 666.

2513788140996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×25137881409963 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2387946 + ... + 3275646.

It is an arithmetic number, because the mean of its divisors is an integer number (96290811344).

It is a 1-persistent number, because it is pandigital, but 2⋅2513788140996 = 5027576281992 is not.

Almost surely, 22513788140996 is an apocalyptic number.

It is an amenable number.

2513788140996 is an abundant number, since it is smaller than the sum of its proper divisors (4419150275772).

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

2513788140996 is a wasteful number, since it uses less digits than its factorization.

2513788140996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894873 (or 894868 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 2513788140996 in words is "two trillion, five hundred thirteen billion, seven hundred eighty-eight million, one hundred forty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 7151 14302 21453 28604 42906 64359 78661 85812 128718 157322 235983 257436 314644 471966 707949 887701 943932 1415898 1775402 2663103 2831796 3550804 5326206 7989309 9764711 10652412 15978618 19529422 29294133 31957236 39058844 58588266 87882399 117176532 175764798 351529596 6347949851 12695899702 19043849553 25391799404 38087699106 57131548659 69827448361 76175398212 114263097318 139654896722 209482345083 228526194636 279309793444 418964690166 628447035249 837929380332 1256894070498 2513788140996