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10342751680 = 265306110559
BaseRepresentation
bin10011010000111100…
…11101110111000000
3222200210201020001001
421220132131313000
5132140221023210
64430145021344
7514205636662
oct115036356700
928623636031
1010342751680
114428239468
122007924854
13c8aa06411
147018a4532
1540801403a
hex26879ddc0

10342751680 has 56 divisors (see below), whose sum is σ = 24639056640. Its totient is φ = 4135357440.

The previous prime is 10342751659. The next prime is 10342751701. The reversal of 10342751680 is 8615724301.

10342751680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10342751659) and next prime (10342751701).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 974241 + ... + 984799.

Almost surely, 210342751680 is an apocalyptic number.

10342751680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10342751680 is an abundant number, since it is smaller than the sum of its proper divisors (14296304960).

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

10342751680 is a wasteful number, since it uses less digits than its factorization.

10342751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13637 (or 13627 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 10342751680 in words is "ten billion, three hundred forty-two million, seven hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 3061 6122 10559 12244 15305 21118 24488 30610 42236 48976 52795 61220 84472 97952 105590 122440 168944 195904 211180 244880 337888 422360 489760 675776 844720 979520 1689440 3378880 32321099 64642198 129284396 161605495 258568792 323210990 517137584 646421980 1034275168 1292843960 2068550336 2585687920 5171375840 10342751680