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10187706061 = 1329179150967
BaseRepresentation
bin10010111110011110…
…00000111011001101
3222021222222002102201
421133033000323031
5131331023043221
64402525521501
7510314033641
oct113717007315
928258862381
1010187706061
114358770395
121b83a13291
13c6485ba50
146c9064c21
153e95d9891
hex25f3c0ecd

10187706061 has 16 divisors (see below), whose sum is σ = 11413180800. Its totient is φ = 9028974528.

The previous prime is 10187706029. The next prime is 10187706073. The reversal of 10187706061 is 16060778101.

It is a cyclic number.

It is not a de Polignac number, because 10187706061 - 25 = 10187706029 is a prime.

It is a super-2 number, since 2×101877060612 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10187706061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10187706091) 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 15 ways as a sum of consecutive naturals, for example, 8001 + ... + 142966.

It is an arithmetic number, because the mean of its divisors is an integer number (713323800).

Almost surely, 210187706061 is an apocalyptic number.

It is an amenable number.

10187706061 is a deficient number, since it is larger than the sum of its proper divisors (1225474739).

10187706061 is a wasteful number, since it uses less digits than its factorization.

10187706061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151188.

The product of its (nonzero) digits is 14112, while the sum is 37.

The spelling of 10187706061 in words is "ten billion, one hundred eighty-seven million, seven hundred six thousand, sixty-one".

Divisors: 1 13 29 179 377 2327 5191 67483 150967 1962571 4378043 27023093 56914559 351300209 783669697 10187706061