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10698001968 = 243149292
BaseRepresentation
bin10011111011010011…
…01000111000110000
31000121120011210211010
421331221220320300
5133402142030333
64525315150520
7526051342053
oct117551507060
930546153733
1010698001968
11459a81a245
1220a68a5440
1310164aa2a4
14736b3aa9a
154292d8563
hex27da68e30

10698001968 has 30 divisors (see below), whose sum is σ = 27638356404. Its totient is φ = 3565761792.

The previous prime is 10698001967. The next prime is 10698001997. The reversal of 10698001968 is 86910089601.

10698001968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×106980019683 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10698001967) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 709128 + ... + 724056.

Almost surely, 210698001968 is an apocalyptic number.

It is an amenable number.

10698001968 is an abundant number, since it is smaller than the sum of its proper divisors (16940354436).

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

10698001968 is an frugal number, since it uses more digits than its factorization.

10698001968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29869 (or 14934 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

Multiplying 10698001968 by its sum of digits (48), we get a square (513504094464 = 7165922).

10698001968 divided by its sum of digits (48) gives a square (222875041 = 149292).

The spelling of 10698001968 in words is "ten billion, six hundred ninety-eight million, one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 14929 29858 44787 59716 89574 119432 179148 238864 358296 716592 222875041 445750082 668625123 891500164 1337250246 1783000328 2674500492 3566000656 5349000984 10698001968