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107034066740 = 22533011621237
BaseRepresentation
bin110001110101110111…
…0100011111100110100
3101020021101110221211002
41203223232203330310
53223201210113430
6121100515302432
710506255361466
oct1435356437464
9336241427732
10107034066740
1141435a385a7
12188b15aaa18
13a129bb2703
145275328136
152bb6a32845
hex18ebba3f34

107034066740 has 24 divisors (see below), whose sum is σ = 224839770792. Its totient is φ = 42800630400.

The previous prime is 107034066731. The next prime is 107034066751. The reversal of 107034066740 is 47660430701.

It can be written as a sum of positive squares in 4 ways, for example, as 2331344656 + 104702722084 = 48284^2 + 323578^2 .

It is a super-2 number, since 2×1070340667402 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 107034066694 and 107034066703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 744599 + ... + 876638.

It is an arithmetic number, because the mean of its divisors is an integer number (9368323783).

Almost surely, 2107034066740 is an apocalyptic number.

107034066740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107034066740 is an abundant number, since it is smaller than the sum of its proper divisors (117805704052).

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

107034066740 is a wasteful number, since it uses less digits than its factorization.

107034066740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624547 (or 1624545 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The spelling of 107034066740 in words is "one hundred seven billion, thirty-four million, sixty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 3301 6602 13204 16505 33010 66020 1621237 3242474 6484948 8106185 16212370 32424740 5351703337 10703406674 21406813348 26758516685 53517033370 107034066740