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5296804801 = 173141435701
BaseRepresentation
bin1001110111011011…
…01101001111000001
3111200010212120012121
410323231231033001
541321440223201
62233332524241
7245155045411
oct47355551701
914603776177
105296804801
1122789a9932
121039a80681
136654ab232
14383682641
152100339a1
hex13bb6d3c1

5296804801 has 32 divisors (see below), whose sum is σ = 6069482496. Its totient is φ = 4596480000.

The previous prime is 5296804783. The next prime is 5296804811. The reversal of 5296804801 is 1084086925.

It is a happy number.

It is a 3-Lehmer number, since φ(5296804801) divides (5296804801-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 5296804801 - 229 = 4759933889 is a prime.

It is a super-2 number, since 2×52968048012 = 56112282199793299202, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a deceptive number, since it divides R5296804800.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5296804811) 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 31 ways as a sum of consecutive naturals, for example, 926251 + ... + 931951.

It is an arithmetic number, because the mean of its divisors is an integer number (189671328).

It is a Poulet number, since it divides 25296804800-1.

Almost surely, 25296804801 is an apocalyptic number.

It is an amenable number.

5296804801 is a deficient number, since it is larger than the sum of its proper divisors (772677695).

5296804801 is a wasteful number, since it uses less digits than its factorization.

5296804801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833.

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 5296804801 is about 72779.1508675390. The cubic root of 5296804801 is about 1743.1629615072.

The spelling of 5296804801 in words is "five billion, two hundred ninety-six million, eight hundred four thousand, eight hundred one".

Divisors: 1 17 31 41 43 527 697 731 1271 1333 1763 5701 21607 22661 29971 54653 96917 176731 233741 245143 929101 3004427 3973597 4167431 7245971 7599433 10050863 123181507 129190361 170864671 311576753 5296804801