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2145873690 = 232573326617
BaseRepresentation
bin111111111100111…
…0110111100011010
312112112211200022100
41333321312330122
513343320424230
6552533304230
7104114424342
oct17771667432
95475750270
102145873690
11a01320734
124ba795076
1328276005c
14164dcbd22
15c85c9660
hex7fe76f1a

2145873690 has 48 divisors (see below), whose sum is σ = 5655717288. Its totient is φ = 564392448.

The previous prime is 2145873679. The next prime is 2145873701. The reversal of 2145873690 is 963785412.

2145873690 is a `hidden beast` number, since 2 + 1 + 4 + 587 + 3 + 69 + 0 = 666.

2145873690 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2145873679) and next prime (2145873701).

It can be written as a sum of positive squares in 4 ways, for example, as 2132500041 + 13373649 = 46179^2 + 3657^2 .

It is a super-2 number, since 2×21458736902 = 9209547786868432200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

2145873690 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156739 + ... + 169878.

It is a 1-persistent number, because it is pandigital, but 2⋅2145873690 = 4291747380 is not.

Almost surely, 22145873690 is an apocalyptic number.

2145873690 is an abundant number, since it is smaller than the sum of its proper divisors (3509843598).

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

2145873690 is a wasteful number, since it uses less digits than its factorization.

2145873690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326703 (or 326700 counting only the distinct ones).

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

The square root of 2145873690 is about 46323.5759630018. The cubic root of 2145873690 is about 1289.8366658174.

The spelling of 2145873690 in words is "two billion, one hundred forty-five million, eight hundred seventy-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3285 6570 326617 653234 979851 1633085 1959702 2939553 3266170 4899255 5879106 9798510 14697765 23843041 29395530 47686082 71529123 119215205 143058246 214587369 238430410 357645615 429174738 715291230 1072936845 2145873690