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10717337904 = 24371319296173
BaseRepresentation
bin10011111101100110…
…11001100100110000
31000122220120011201220
421332303121210300
5133422114303104
64531245425040
7526404604050
oct117663314460
930586504656
1010717337904
1145aa726659
1220b126b180
13101a4ba380
14739531560
1542ad577d9
hex27ecd9930

10717337904 has 640 divisors, whose sum is σ = 38230886400. Its totient is φ = 2508226560.

The previous prime is 10717337881. The next prime is 10717337921. The reversal of 10717337904 is 40973371701.

It is a super-2 number, since 2×107173379042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146812812 + ... + 146812884.

It is an arithmetic number, because the mean of its divisors is an integer number (59735760).

Almost surely, 210717337904 is an apocalyptic number.

10717337904 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 10717337904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19115443200).

10717337904 is an abundant number, since it is smaller than the sum of its proper divisors (27513548496).

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

10717337904 is a wasteful number, since it uses less digits than its factorization.

10717337904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 42.

The spelling of 10717337904 in words is "ten billion, seven hundred seventeen million, three hundred thirty-seven thousand, nine hundred four".