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2138876010 = 233517214603
BaseRepresentation
bin111111101111100…
…1010100001101010
312112001200011022000
41333133022201222
513340023013020
6552123311430
7104001101055
oct17737124152
95461604260
102138876010
119a8381227
124b837b576
1328117cc0b
141640c9a9c
15c7b96090
hex7f7ca86a

2138876010 has 64 divisors (see below), whose sum is σ = 5708223360. Its totient is φ = 569911680.

The previous prime is 2138875997. The next prime is 2138876011. The reversal of 2138876010 is 106788312.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2138876011) 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 31 ways as a sum of consecutive naturals, for example, 462369 + ... + 466971.

It is an arithmetic number, because the mean of its divisors is an integer number (89190990).

Almost surely, 22138876010 is an apocalyptic number.

2138876010 is an abundant number, since it is smaller than the sum of its proper divisors (3569347350).

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

2138876010 is a wasteful number, since it uses less digits than its factorization.

2138876010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6340 (or 6334 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2138876010 is about 46247.9838479474. The cubic root of 2138876010 is about 1288.4330893954.

The spelling of 2138876010 in words is "two billion, one hundred thirty-eight million, eight hundred seventy-six thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1721 3442 4603 5163 8605 9206 10326 13809 15489 17210 23015 25815 27618 30978 41427 46030 46467 51630 69045 77445 82854 92934 124281 138090 154890 207135 232335 248562 414270 464670 621405 1242810 7921763 15843526 23765289 39608815 47530578 71295867 79217630 118826445 142591734 213887601 237652890 356479335 427775202 712958670 1069438005 2138876010