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2138095512 = 233274242253
BaseRepresentation
bin111111101110000…
…1011111110011000
312112000012111122200
41333130023332120
513334323024022
6552054450200
7103661340420
oct17734137630
95460174580
102138095512
119a7998893
124b8063960
13280c68897
14163d65480
15c7a8ebac
hex7f70bf98

2138095512 has 48 divisors (see below), whose sum is σ = 6617916240. Its totient is φ = 610884288.

The previous prime is 2138095483. The next prime is 2138095537. The reversal of 2138095512 is 2155908312.

2138095512 is a `hidden beast` number, since 2 + 138 + 0 + 9 + 5 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 2120623 + ... + 2121630.

It is an arithmetic number, because the mean of its divisors is an integer number (137873255).

Almost surely, 22138095512 is an apocalyptic number.

It is an amenable number.

2138095512 is an abundant number, since it is smaller than the sum of its proper divisors (4479820728).

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

2138095512 is a wasteful number, since it uses less digits than its factorization.

2138095512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242272 (or 4242265 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 2138095512 is about 46239.5448939541. The cubic root of 2138095512 is about 1288.2763494707.

The spelling of 2138095512 in words is "two billion, one hundred thirty-eight million, ninety-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4242253 8484506 12726759 16969012 25453518 29695771 33938024 38180277 50907036 59391542 76360554 89087313 101814072 118783084 152721108 178174626 237566168 267261939 305442216 356349252 534523878 712698504 1069047756 2138095512