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6010672801 = 73145616073
BaseRepresentation
bin1011001100100001…
…11001011010100001
3120111220010211000011
411212100321122201
544302213012201
62432233324521
7301643606260
oct54620713241
916456124004
106010672801
112604960491
1211b8b66741
1374a364933
144103ca5d7
15252a45151
hex1664396a1

6010672801 has 16 divisors (see below), whose sum is σ = 7093654528. Its totient is φ = 4983897600.

The previous prime is 6010672793. The next prime is 6010672831. The reversal of 6010672801 is 1082760106.

It is a 4-Lehmer number, since φ(6010672801) divides (6010672801-1)4.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 6010672801 - 23 = 6010672793 is a prime.

It is a super-2 number, since 2×60106728012 = 72256375041362371202, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a deceptive number, since it divides R6010672800.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6010672831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 986701 + ... + 992773.

It is an arithmetic number, because the mean of its divisors is an integer number (443353408).

It is a Poulet number, since it divides 26010672800-1.

Almost surely, 26010672801 is an apocalyptic number.

It is an amenable number.

6010672801 is a deficient number, since it is larger than the sum of its proper divisors (1082981727).

6010672801 is a wasteful number, since it uses less digits than its factorization.

6010672801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10672.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 6010672801 is about 77528.5289490262. The cubic root of 6010672801 is about 1818.1973860887.

The spelling of 6010672801 in words is "six billion, ten million, six hundred seventy-two thousand, eight hundred one".

Divisors: 1 7 31 217 4561 6073 31927 42511 141391 188263 989737 1317841 27698953 193892671 858667543 6010672801