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10336307540 = 2251343391813
BaseRepresentation
bin10011010000001011…
…11000100101010100
3222200100120211100012
421220011320211110
5132132043320130
64425354535352
7514100110256
oct115005704524
928610524305
1010336307540
114424637929
122005737558
13c8958b210
14700aa7cd6
1540768e995
hex268178954

10336307540 has 48 divisors (see below), whose sum is σ = 23430198288. Its totient is φ = 3807627264.

The previous prime is 10336307533. The next prime is 10336307551. The reversal of 10336307540 is 4570363301.

It can be written as a sum of positive squares in 8 ways, for example, as 107412496 + 10228895044 = 10364^2 + 101138^2 .

It is a super-2 number, since 2×103363075402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10336307497 and 10336307506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66674 + ... + 158486.

It is an arithmetic number, because the mean of its divisors is an integer number (488129131).

Almost surely, 210336307540 is an apocalyptic number.

10336307540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10336307540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11715099144).

10336307540 is an abundant number, since it is smaller than the sum of its proper divisors (13093890748).

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

10336307540 is a wasteful number, since it uses less digits than its factorization.

10336307540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92268 (or 92266 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 32.

The spelling of 10336307540 in words is "ten billion, three hundred thirty-six million, three hundred seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 433 866 1732 2165 4330 5629 8660 11258 22516 28145 56290 91813 112580 183626 367252 459065 918130 1193569 1836260 2387138 4774276 5967845 11935690 23871380 39755029 79510058 159020116 198775145 397550290 516815377 795100580 1033630754 2067261508 2584076885 5168153770 10336307540