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5246076672 = 28333773281
BaseRepresentation
bin1001110001011000…
…01100011100000000
3111112121102022022000
410320230030130000
541220443423142
62224321344000
7244000626114
oct47054143400
914477368260
105246076672
112252301061
121024a98000
13657b295a5
1437aa39744
1520a86314c
hex138b0c700

5246076672 has 288 divisors, whose sum is σ = 16208592960. Its totient is φ = 1672151040.

The previous prime is 5246076623. The next prime is 5246076727. The reversal of 5246076672 is 2766706425.

5246076672 is a `hidden beast` number, since 52 + 460 + 76 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18669172 + ... + 18669452.

Almost surely, 25246076672 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 5246076672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8104296480).

5246076672 is an abundant number, since it is smaller than the sum of its proper divisors (10962516288).

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

5246076672 is a wasteful number, since it uses less digits than its factorization.

5246076672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 5246076672 is about 72429.8051357312. The cubic root of 5246076672 is about 1737.5802751035.

The spelling of 5246076672 in words is "five billion, two hundred forty-six million, seventy-six thousand, six hundred seventy-two".