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11708296704 = 293213241811
BaseRepresentation
bin10101110011101111…
…00110111000000000
31010012222020002122200
422321313212320000
5142434310443304
65213445233200
7563066610546
oct127167467000
933188202580
1011708296704
114a69034675
122329102800
1311478b0220
147d0da7d96
15487d4ee39
hex2b9de6e00

11708296704 has 240 divisors, whose sum is σ = 36586293744. Its totient is φ = 3583180800.

The previous prime is 11708296681. The next prime is 11708296711. The reversal of 11708296704 is 40769280711.

It is a happy number.

11708296704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11708296704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14436459 + ... + 14437269.

Almost surely, 211708296704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11708296704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18293146872).

11708296704 is an abundant number, since it is smaller than the sum of its proper divisors (24877997040).

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

11708296704 is a wasteful number, since it uses less digits than its factorization.

11708296704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 11708296704 in words is "eleven billion, seven hundred eight million, two hundred ninety-six thousand, seven hundred four".