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2146372002 = 232119242889
BaseRepresentation
bin111111111101111…
…0000100110100010
312112120202222212100
41333323300212202
513343432401002
6552552111230
7104121601215
oct17773604642
95476688770
102146372002
11a01631065
124ba995516
132828a5b08
141650bb77c
15c867711c
hex7fef09a2

2146372002 has 12 divisors (see below), whose sum is σ = 4650472710. Its totient is φ = 715457328.

The previous prime is 2146371991. The next prime is 2146372003. The reversal of 2146372002 is 2002736412.

2146372002 is a `hidden beast` number, since 2 + 1 + 4 + 637 + 20 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1754688321 + 391683681 = 41889^2 + 19791^2 .

It is not an unprimeable number, because it can be changed into a prime (2146372003) 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 5 ways as a sum of consecutive naturals, for example, 59621427 + ... + 59621462.

Almost surely, 22146372002 is an apocalyptic number.

2146372002 is an abundant number, since it is smaller than the sum of its proper divisors (2504100708).

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

2146372002 is a wasteful number, since it uses less digits than its factorization.

2146372002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119242897 (or 119242894 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2146372002 is about 46328.9542510944. The cubic root of 2146372002 is about 1289.9364994883.

The spelling of 2146372002 in words is "two billion, one hundred forty-six million, three hundred seventy-two thousand, two".

Divisors: 1 2 3 6 9 18 119242889 238485778 357728667 715457334 1073186001 2146372002