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2138946570 = 232523766073
BaseRepresentation
bin111111101111101…
…1011110000001010
312112001210202002100
41333133123300022
513340032242240
6552125014230
7104001513555
oct17737336012
95461722070
102138946570
119a841a242
124b83b4376
132811a6077
1416410769c
15c7babe30
hex7f7dbc0a

2138946570 has 24 divisors (see below), whose sum is σ = 5561261316. Its totient is φ = 570385728.

The previous prime is 2138946553. The next prime is 2138946581. The reversal of 2138946570 is 756498312.

2138946570 is a `hidden beast` number, since 2 + 1 + 38 + 9 + 46 + 570 = 666.

2138946570 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2135271681 + 3674889 = 46209^2 + 1917^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

2138946570 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11882947 + ... + 11883126.

It is a 1-persistent number, because it is pandigital, but 2⋅2138946570 = 4277893140 is not.

Almost surely, 22138946570 is an apocalyptic number.

2138946570 is an abundant number, since it is smaller than the sum of its proper divisors (3422314746).

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

2138946570 is a wasteful number, since it uses less digits than its factorization.

2138946570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23766086 (or 23766083 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2138946570 is about 46248.7466857211. The cubic root of 2138946570 is about 1288.4472574037.

The spelling of 2138946570 in words is "two billion, one hundred thirty-eight million, nine hundred forty-six thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 23766073 47532146 71298219 118830365 142596438 213894657 237660730 356491095 427789314 712982190 1069473285 2138946570