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5140092168 = 23347932241
BaseRepresentation
bin1001100100101111…
…11001010100001000
3111021012222201220000
410302113321110020
541011330422133
62210014003000
7241243030311
oct46227712410
914235881800
105140092168
1121a84a2362
12bb54a6460
1363bb9bb73
1436a92b608
152013ca413
hex1325f9508

5140092168 has 40 divisors (see below), whose sum is σ = 14397019230. Its totient is φ = 1713363840.

The previous prime is 5140092157. The next prime is 5140092169. The reversal of 5140092168 is 8612900415.

5140092168 is a `hidden beast` number, since 5 + 1 + 400 + 92 + 168 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5129710884 + 10381284 = 71622^2 + 3222^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5140092169) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3965473 + ... + 3966768.

Almost surely, 25140092168 is an apocalyptic number.

It is an amenable number.

5140092168 is an abundant number, since it is smaller than the sum of its proper divisors (9256927062).

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

5140092168 is a wasteful number, since it uses less digits than its factorization.

5140092168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7932259 (or 7932246 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5140092168 is about 71694.4361021133. The cubic root of 5140092168 is about 1725.7993542907.

The spelling of 5140092168 in words is "five billion, one hundred forty million, ninety-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 7932241 15864482 23796723 31728964 47593446 63457928 71390169 95186892 142780338 190373784 214170507 285560676 428341014 571121352 642511521 856682028 1285023042 1713364056 2570046084 5140092168