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10147468110 = 2351325473659
BaseRepresentation
bin10010111001101011…
…00001001101001110
3222012012020210100020
421130311201031032
5131240222434420
64354531243010
7506315025063
oct113465411516
928165223306
1010147468110
114337a87a8a
121b72449466
13c59410b00
146c398cc6a
153e5cdc340
hex25cd6134e

10147468110 has 96 divisors (see below), whose sum is σ = 26426839680. Its totient is φ = 2492590464.

The previous prime is 10147468109. The next prime is 10147468117. The reversal of 10147468110 is 1186474101.

10147468110 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-2 number, since 2×101474681102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10147468117) 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 47 ways as a sum of consecutive naturals, for example, 2771461 + ... + 2775119.

It is an arithmetic number, because the mean of its divisors is an integer number (275279580).

Almost surely, 210147468110 is an apocalyptic number.

10147468110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10147468110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13213419840).

10147468110 is an abundant number, since it is smaller than the sum of its proper divisors (16279371570).

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

10147468110 is a wasteful number, since it uses less digits than its factorization.

10147468110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The spelling of 10147468110 in words is "ten billion, one hundred forty-seven million, four hundred sixty-eight thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 547 845 1014 1094 1641 1690 2535 2735 3282 3659 5070 5470 7111 7318 8205 10977 14222 16410 18295 21333 21954 35555 36590 42666 47567 54885 71110 92443 95134 106665 109770 142701 184886 213330 237835 277329 285402 462215 475670 554658 618371 713505 924430 1236742 1386645 1427010 1855113 2001473 2773290 3091855 3710226 4002946 6004419 6183710 9275565 10007365 12008838 18551130 20014730 26019149 30022095 52038298 60044190 78057447 130095745 156114894 260191490 338248937 390287235 676497874 780574470 1014746811 1691244685 2029493622 3382489370 5073734055 10147468110