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10105515040 = 25563159469
BaseRepresentation
bin10010110100101010…
…11110110000100000
3222002021022100112211
421122111132300200
5131144002440130
64350432131504
7505265313655
oct113225366040
928067270484
1010105515040
114316333025
121b60396b94
13c508122ca
146bc18bc2c
153e22a1a2a
hex25a55ec20

10105515040 has 24 divisors (see below), whose sum is σ = 23874279660. Its totient is φ = 4042205952.

The previous prime is 10105515001. The next prime is 10105515089. The reversal of 10105515040 is 4051550101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9661317264 + 444197776 = 98292^2 + 21076^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31579575 + ... + 31579894.

Almost surely, 210105515040 is an apocalyptic number.

10105515040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105515040 is an abundant number, since it is smaller than the sum of its proper divisors (13768764620).

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

10105515040 is an equidigital number, since it uses as much as digits as its factorization.

10105515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63159484 (or 63159476 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

The spelling of 10105515040 in words is "ten billion, one hundred five million, five hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 63159469 126318938 252637876 315797345 505275752 631594690 1010551504 1263189380 2021103008 2526378760 5052757520 10105515040