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5692976640 = 293251383229
BaseRepresentation
bin1010100110101001…
…11110111000000000
3112200202100011210200
411103110332320000
543124400223030
62340524125200
7261035334351
oct52324767000
915622304720
105692976640
11246159a67a
12112a696800
136c95ac240
143c012bd28
15234bdcd60
hex15353ee00

5692976640 has 480 divisors, whose sum is σ = 21582681120. Its totient is φ = 1378418688.

The previous prime is 5692976603. The next prime is 5692976659. The reversal of 5692976640 is 466792965.

5692976640 is a `hidden beast` number, since 569 + 2 + 9 + 76 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24860046 + ... + 24860274.

It is an arithmetic number, because the mean of its divisors is an integer number (44963919).

Almost surely, 25692976640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5692976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10791340560).

5692976640 is an abundant number, since it is smaller than the sum of its proper divisors (15889704480).

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

5692976640 is a wasteful number, since it uses less digits than its factorization.

5692976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 5692976640 is about 75451.8166779303. The cubic root of 5692976640 is about 1785.5820054455.

The spelling of 5692976640 in words is "five billion, six hundred ninety-two million, nine hundred seventy-six thousand, six hundred forty".