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2642293107 = 322321374051
BaseRepresentation
bin1001110101111110…
…0011000101110011
320211010221101201200
42131133203011303
520402411334412
61114105302243
7122323056306
oct23537430563
96733841650
102642293107
111136561a13
12618a94983
1333156045c
141b0cd0b3d
15106e869dc
hex9d7e3173

2642293107 has 36 divisors (see below), whose sum is σ = 4019916264. Its totient is φ = 1672228800.

The previous prime is 2642293097. The next prime is 2642293109. The reversal of 2642293107 is 7013922462.

2642293107 is a `hidden beast` number, since 2 + 642 + 2 + 9 + 3 + 1 + 0 + 7 = 666.

It is not a de Polignac number, because 2642293107 - 210 = 2642292083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642293109) 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 35 ways as a sum of consecutive naturals, for example, 650232 + ... + 654282.

Almost surely, 22642293107 is an apocalyptic number.

2642293107 is a deficient number, since it is larger than the sum of its proper divisors (1377623157).

2642293107 is a wasteful number, since it uses less digits than its factorization.

2642293107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2642293107 is about 51403.2402383352. The cubic root of 2642293107 is about 1382.4846902963.

The spelling of 2642293107 in words is "two billion, six hundred forty-two million, two hundred ninety-three thousand, one hundred seven".

Divisors: 1 3 9 23 69 137 207 411 529 1233 1587 3151 4051 4761 9453 12153 28359 36459 72473 93173 217419 279519 554987 652257 838557 1664961 2142979 4994883 6428937 12764701 19286811 38294103 114882309 293588123 880764369 2642293107