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10158040345 = 517241495877
BaseRepresentation
bin10010111010111011…
…10110010100011001
3222012221010220201111
421131131312110121
5131300424242340
64355550020321
7506503626655
oct113535662431
928187126644
1010158040345
114342a49072
121b75aa76a1
13c5b672c7b
146c5141a65
153e6bc9aea
hex25d776519

10158040345 has 16 divisors (see below), whose sum is σ = 12960267408. Its totient is φ = 7616655360.

The previous prime is 10158040307. The next prime is 10158040397. The reversal of 10158040345 is 54304085101.

It can be written as a sum of positive squares in 8 ways, for example, as 1354534416 + 8803505929 = 36804^2 + 93827^2 .

It is not a de Polignac number, because 10158040345 - 29 = 10158039833 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 227454 + ... + 268423.

It is an arithmetic number, because the mean of its divisors is an integer number (810016713).

Almost surely, 210158040345 is an apocalyptic number.

It is an amenable number.

10158040345 is a deficient number, since it is larger than the sum of its proper divisors (2802227063).

10158040345 is a wasteful number, since it uses less digits than its factorization.

10158040345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496140.

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 10158040345 in words is "ten billion, one hundred fifty-eight million, forty thousand, three hundred forty-five".

Divisors: 1 5 17 85 241 1205 4097 20485 495877 2479385 8429909 42149545 119506357 597531785 2031608069 10158040345