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107097144049 = 72467512
BaseRepresentation
bin110001110111101111…
…1001011101011110001
3101020102210011121121201
41203233133023223301
53223313332102144
6121111051251201
710510652463400
oct1435737135361
9336383147551
10107097144049
1141468600505
121890a749b01
13a139c9926c
14527d867637
152bbc3421d4
hex18ef7cbaf1

107097144049 has 9 divisors (see below), whose sum is σ = 124585056921. Its totient is φ = 91795588500.

The previous prime is 107097144031. The next prime is 107097144061. The reversal of 107097144049 is 940441790701.

It is a happy number.

The square root of 107097144049 is 327257.

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

It is a de Polignac number, because none of the positive numbers 2k-107097144049 is a prime.

It is a super-2 number, since 2×1070971440492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107097141049) 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, 2267424 + ... + 2314174.

Almost surely, 2107097144049 is an apocalyptic number.

107097144049 is the 327257-th square number.

107097144049 is the 163629-th centered octagonal number.

It is an amenable number.

107097144049 is a deficient number, since it is larger than the sum of its proper divisors (17487912872).

107097144049 is an frugal number, since it uses more digits than its factorization.

107097144049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93516 (or 46758 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 107097144049 in words is "one hundred seven billion, ninety-seven million, one hundred forty-four thousand, forty-nine".

Divisors: 1 7 49 46751 327257 2290799 2185656001 15299592007 107097144049