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10544314704 = 24372113113147
BaseRepresentation
bin10011101000111110…
…10111100101010000
31000012211222200112020
421310133113211100
5133043321032304
64502145131440
7522204124200
oct116437274520
930184880466
1010544314704
114520a99780
122063329b80
13cc06b9c91
14720572400
1541aa7b5d9
hex2747d7950

10544314704 has 240 divisors, whose sum is σ = 35685144576. Its totient is φ = 2650233600.

The previous prime is 10544314699. The next prime is 10544314709. The reversal of 10544314704 is 40741344501.

It is an interprime number because it is at equal distance from previous prime (10544314699) and next prime (10544314709).

It is a super-2 number, since 2×105443147042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10544314709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 795459 + ... + 808605.

Almost surely, 210544314704 is an apocalyptic number.

10544314704 is a gapful number since it is divisible by the number (14) 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 10544314704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17842572288).

10544314704 is an abundant number, since it is smaller than the sum of its proper divisors (25140829872).

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

10544314704 is a wasteful number, since it uses less digits than its factorization.

10544314704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13214 (or 13201 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 10544314704 in words is "ten billion, five hundred forty-four million, three hundred fourteen thousand, seven hundred four".