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761166401 = 73101103237
BaseRepresentation
bin101101010111100…
…111101001000001
31222001021021000012
4231113213221001
53024324311101
6203310234305
724601544012
oct5527475101
91861237005
10761166401
11360727646
12192ab5995
13c1907228
147313b009
1546c55bbb
hex2d5e7a41

761166401 has 8 divisors (see below), whose sum is σ = 779240424. Its totient is φ = 743299200.

The previous prime is 761166389. The next prime is 761166403. The reversal of 761166401 is 104661167.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 584914225 + 176252176 = 24185^2 + 13276^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-761166401 is a prime.

It is a super-2 number, since 2×7611664012 = 1158748580022585602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (761166403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44246 + ... + 58991.

It is an arithmetic number, because the mean of its divisors is an integer number (97405053).

Almost surely, 2761166401 is an apocalyptic number.

It is an amenable number.

761166401 is a deficient number, since it is larger than the sum of its proper divisors (18074023).

761166401 is a wasteful number, since it uses less digits than its factorization.

761166401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103411.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 761166401 is about 27589.2442991830. The cubic root of 761166401 is about 913.0471458319.

The spelling of 761166401 in words is "seven hundred sixty-one million, one hundred sixty-six thousand, four hundred one".

Divisors: 1 73 101 7373 103237 7536301 10426937 761166401