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30607152601 = 137212772
BaseRepresentation
bin11100100000010101…
…000001010111011001
32221000001202110011111
4130200111001113121
51000140412340401
622021041300321
72132321335024
oct344025012731
987001673144
1030607152601
1111a86a37843
125b223346a1
132b6a0c64ac
1416a4d341bb
15be20aae51
hex7205415d9

30607152601 has 9 divisors (see below), whose sum is σ = 30856356349. Its totient is φ = 30359949664.

The previous prime is 30607152577. The next prime is 30607152623. The reversal of 30607152601 is 10625170603.

The square root of 30607152601 is 174949.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1836208201 + 28770944400 = 42851^2 + 169620^2 .

It is a de Polignac number, because none of the positive numbers 2k-30607152601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30607152001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23967375 + ... + 23968651.

Almost surely, 230607152601 is an apocalyptic number.

30607152601 is the 174949-th square number.

30607152601 is the 87475-th centered octagonal number.

It is an amenable number.

30607152601 is a deficient number, since it is larger than the sum of its proper divisors (249203748).

30607152601 is an frugal number, since it uses more digits than its factorization.

30607152601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The spelling of 30607152601 in words is "thirty billion, six hundred seven million, one hundred fifty-two thousand, six hundred one".

Divisors: 1 137 1277 18769 174949 1630729 23968013 223409873 30607152601