Search a number
-
+
10142502615564 = 22311115366641059
BaseRepresentation
bin1001001110010111110001…
…0000111111101000001100
31022220121120110001011201220
42103211330100333220030
52312133321132144224
633323222410403340
72064525445525014
oct223457420775014
938817513034656
1010142502615564
113260458348290
121179827730550
13587584354317
14270c84c8cc44
15128c6a70a279
hex9397c43fa0c

10142502615564 has 48 divisors (see below), whose sum is σ = 25839671168640. Its totient is φ = 3070819952640.

The previous prime is 10142502615563. The next prime is 10142502615607. The reversal of 10142502615564 is 46551620524101.

It is a happy number.

10142502615564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10142502615563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33168334 + ... + 33472725.

It is an arithmetic number, because the mean of its divisors is an integer number (538326482680).

Almost surely, 210142502615564 is an apocalyptic number.

It is an amenable number.

10142502615564 is an abundant number, since it is smaller than the sum of its proper divisors (15697168553076).

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

10142502615564 is a wasteful number, since it uses less digits than its factorization.

10142502615564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66642230 (or 66642228 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 10142502615564 in words is "ten trillion, one hundred forty-two billion, five hundred two million, six hundred fifteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1153 2306 3459 4612 6918 12683 13836 25366 38049 50732 76098 152196 66641059 133282118 199923177 266564236 399846354 733051649 799692708 1466103298 2199154947 2932206596 4398309894 8796619788 76837141027 153674282054 230511423081 307348564108 461022846162 845208551297 922045692324 1690417102594 2535625653891 3380834205188 5071251307782 10142502615564