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10145116660 = 2257457158567
BaseRepresentation
bin10010111001011001…
…00011000111110100
3222012000211022202111
421130230203013310
5131234122213120
64354405020404
7506256032410
oct113454430764
928160738674
1010145116660
114336721338
121b716b4704
13c58a99713
146c3539d40
153e59c575a
hex25cb231f4

10145116660 has 48 divisors (see below), whose sum is σ = 24401712384. Its totient is φ = 3470692608.

The previous prime is 10145116651. The next prime is 10145116669. The reversal of 10145116660 is 6661154101.

10145116660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10145116651) and next prime (10145116669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145116669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15304 + ... + 143263.

It is an arithmetic number, because the mean of its divisors is an integer number (508369008).

Almost surely, 210145116660 is an apocalyptic number.

10145116660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145116660 is an abundant number, since it is smaller than the sum of its proper divisors (14256595724).

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

10145116660 is a wasteful number, since it uses less digits than its factorization.

10145116660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159040 (or 159038 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 10145116660 in words is "ten billion, one hundred forty-five million, one hundred sixteen thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 457 914 1828 2285 3199 4570 6398 9140 12796 15995 31990 63980 158567 317134 634268 792835 1109969 1585670 2219938 3171340 4439876 5549845 11099690 22199380 72465119 144930238 289860476 362325595 507255833 724651190 1014511666 1449302380 2029023332 2536279165 5072558330 10145116660