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7830940346073 = 32131721531828669
BaseRepresentation
bin111000111110100100001…
…1010101110011011011001
31000201122000200211011001100
41301331020122232123121
52011300231212033243
624353252340542013
71435524000445635
oct161751032563331
930648020734040
107830940346073
11254a0a0744a89
12a658320b1909
1344a5ba71b990
141d103b865dc5
15d8a79e660d3
hex71f486ae6d9

7830940346073 has 48 divisors (see below), whose sum is σ = 12904017169680. Its totient is φ = 4533458153472.

The previous prime is 7830940346051. The next prime is 7830940346081. The reversal of 7830940346073 is 3706430490387.

It is a happy number.

7830940346073 is a `hidden beast` number, since 78 + 3 + 0 + 9 + 40 + 3 + 460 + 73 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1453886115984 + 6377054230089 = 1205772^2 + 2525283^2 .

It is not a de Polignac number, because 7830940346073 - 213 = 7830940337881 is a prime.

It is a super-2 number, since 2×78309403460732 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7830940346093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3367983 + ... + 5196651.

It is an arithmetic number, because the mean of its divisors is an integer number (268833691035).

Almost surely, 27830940346073 is an apocalyptic number.

It is an amenable number.

7830940346073 is a deficient number, since it is larger than the sum of its proper divisors (5073076823607).

7830940346073 is a wasteful number, since it uses less digits than its factorization.

7830940346073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830858 (or 1830855 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 7830940346073 in words is "seven trillion, eight hundred thirty billion, nine hundred forty million, three hundred forty-six thousand, seventy-three".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 2153 6459 19377 27989 36601 83967 109803 251901 329409 475813 1427439 1828669 4282317 5486007 16458021 23772697 31087373 71318091 93262119 213954273 279786357 404135849 1212407547 3637222641 3937124357 11811373071 35434119213 51182616641 66931114069 153547849923 200793342207 460643549769 602380026621 870104482897 2610313448691 7830940346073