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107074237284 = 223476532
BaseRepresentation
bin110001110111000011…
…1110011001101100100
3101020101012001211110000
41203232013303031210
53223242001043114
6121104512301300
710510254000000
oct1435607631544
9336335054400
10107074237284
11414566852a3
1218902b41830
13a135308a71
14527a7c3700
152bba319e09
hex18ee1f3364

107074237284 has 315 divisors, whose sum is σ = 332842871977. Its totient is φ = 30015419616.

The previous prime is 107074237147. The next prime is 107074237297. The reversal of 107074237284 is 482732470701.

The square root of 107074237284 is 327222.

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

107074237284 is a `hidden beast` number, since 1 + 0 + 70 + 74 + 237 + 284 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77189508900 + 29884728384 = 277830^2 + 172872^2 .

It is a super-2 number, since 2×1070742372842 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 2020268602 + ... + 2020268654.

Almost surely, 2107074237284 is an apocalyptic number.

107074237284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

107074237284 is the 327222-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107074237284

107074237284 is an abundant number, since it is smaller than the sum of its proper divisors (225768634693).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107074237284 is an frugal number, since it uses more digits than its factorization.

107074237284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 107074237284 in words is "one hundred seven billion, seventy-four million, two hundred thirty-seven thousand, two hundred eighty-four".