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5010349046681 = 112149794934961
BaseRepresentation
bin100100011101001000000…
…0100110011101110011001
3122201222120211200011120102
41020322100010303232121
51124042143323443211
614353420024305145
71024662056130656
oct110722004635631
918658524604512
105010349046681
111661971465500
1268b0579121b5
132a4621192a24
14134706008c2d
158a4e607aa3b
hex48e90133b99

5010349046681 has 24 divisors (see below), whose sum is σ = 5545060605000. Its totient is φ = 4523594662400.

The previous prime is 5010349046639. The next prime is 5010349046701. The reversal of 5010349046681 is 1866409430105.

It can be written as a sum of positive squares in 4 ways, for example, as 65436198025 + 4944912848656 = 255805^2 + 2223716^2 .

It is not a de Polignac number, because 5010349046681 - 218 = 5010348784537 is a prime.

It is a super-3 number, since 3×50103490466813 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5010349040681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143295041 + ... + 143330001.

It is an arithmetic number, because the mean of its divisors is an integer number (231044191875).

Almost surely, 25010349046681 is an apocalyptic number.

It is an amenable number.

5010349046681 is a deficient number, since it is larger than the sum of its proper divisors (534711558319).

5010349046681 is a wasteful number, since it uses less digits than its factorization.

5010349046681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43081 (or 43070 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 5010349046681 in words is "five trillion, ten billion, three hundred forty-nine million, forty-six thousand, six hundred eighty-one".

Divisors: 1 11 121 149 1639 7949 18029 34961 87439 384571 961829 1184401 4230281 5209189 13028411 57301079 143312521 277904989 630311869 3056954879 33626503669 41407843361 455486276971 5010349046681