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76046265643401 = 349689392
BaseRepresentation
bin10001010010100111100110…
…101001100111000110001001
3100222020221201000010112010000
4101102213212221213012021
534431420223001042101
6425423101103513213
722006106232441024
oct2122474651470611
9328227630115100
1076046265643401
112225a0494851a9
1286423385b8809
133358194243951
1414ac9320201bb
158bd210572486
hex4529e6a67189

76046265643401 has 15 divisors (see below), whose sum is σ = 113600094313981. Its totient is φ = 50697458106228.

The previous prime is 76046265643367. The next prime is 76046265643489. The reversal of 76046265643401 is 10434656264067.

It is a happy number.

The square root of 76046265643401 is 8720451.

It is a perfect power (a square), and thus also a powerful number.

76046265643401 is a `hidden beast` number, since 7 + 6 + 0 + 4 + 626 + 5 + 6 + 4 + 3 + 4 + 0 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-76046265643401 is a prime.

It is a super-2 number, since 2×760462656434012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76046265648401) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 77999590 + ... + 78968528.

Almost surely, 276046265643401 is an apocalyptic number.

76046265643401 is the 8720451-st square number.

76046265643401 is the 4360226-th centered octagonal number.

It is an amenable number.

76046265643401 is a deficient number, since it is larger than the sum of its proper divisors (37553828670580).

76046265643401 is an frugal number, since it uses more digits than its factorization.

76046265643401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937890 (or 968942 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 76046265643401 in words is "seventy-six trillion, forty-six billion, two hundred sixty-five million, six hundred forty-three thousand, four hundred one".

Divisors: 1 3 9 27 81 968939 2906817 8720451 26161353 78484059 938842785721 2816528357163 8449585071489 25348755214467 76046265643401