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75401001390625 = 56694672
BaseRepresentation
bin10001001001001110101001…
…111001110101001000100001
3100212222021011102121011220021
4101021032221321311020201
534340332222324000000
6424210424123313441
721611354051001331
oct2111165171651041
9325867142534807
1075401001390625
1122030426648639
12855927697b881
13330c38ca12421
1414895dc3a10c1
158ab5469b911a
hex4493a9e75221

75401001390625 has 21 divisors (see below), whose sum is σ = 94251402101767. Its totient is φ = 60319932775000.

The previous prime is 75401001390577. The next prime is 75401001390653. The reversal of 75401001390625 is 52609310010457.

The square root of 75401001390625 is 8683375.

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

It can be written as a sum of positive squares in 3 ways, for example, as 66058515714321 + 9342485676304 = 8127639^2 + 3056548^2 .

It is not a de Polignac number, because 75401001390625 - 217 = 75401001259553 is a prime.

It is a super-2 number, since 2×754010013906252 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1085387142 + ... + 1085456608.

Almost surely, 275401001390625 is an apocalyptic number.

75401001390625 is the 8683375-th square number.

75401001390625 is the 4341688-th centered octagonal number.

It is an amenable number.

75401001390625 is a deficient number, since it is larger than the sum of its proper divisors (18850400711142).

75401001390625 is an frugal number, since it uses more digits than its factorization.

75401001390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138964 (or 69472 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 75401001390625 in words is "seventy-five trillion, four hundred one billion, one million, three hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 3125 15625 69467 347335 1736675 8683375 43416875 217084375 1085421875 4825664089 24128320445 120641602225 603208011125 3016040055625 15080200278125 75401001390625