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10153211460 = 2235729833597
BaseRepresentation
bin10010111010010110…
…11011011001000100
3222012121001120201220
421131023123121010
5131243210231320
64355254320340
7506414605410
oct113513333104
928177046656
1010153211460
114340250057
121b743590b0
13c5a672042
146c4645d40
153e6573e40
hex25d2db644

10153211460 has 96 divisors (see below), whose sum is σ = 33610671360. Its totient is φ = 2240706048.

The previous prime is 10153211447. The next prime is 10153211479. The reversal of 10153211460 is 6411235101.

It is a happy number.

10153211460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10153211460.

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 31 ways as a sum of consecutive naturals, for example, 404619 + ... + 428978.

It is an arithmetic number, because the mean of its divisors is an integer number (350111160).

Almost surely, 210153211460 is an apocalyptic number.

10153211460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10153211460 is an abundant number, since it is smaller than the sum of its proper divisors (23457459900).

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

10153211460 is a wasteful number, since it uses less digits than its factorization.

10153211460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833645 (or 833643 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 10153211460 its reverse (6411235101), we get a palindrome (16564446561).

The spelling of 10153211460 in words is "ten billion, one hundred fifty-three million, two hundred eleven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 870 1015 1218 1740 2030 2436 3045 4060 6090 12180 833597 1667194 2500791 3334388 4167985 5001582 5835179 8335970 10003164 11670358 12503955 16671940 17505537 23340716 24174313 25007910 29175895 35011074 48348626 50015820 58351790 70022148 72522939 87527685 96697252 116703580 120871565 145045878 169220191 175055370 241743130 290091756 338440382 350110740 362614695 483486260 507660573 676880764 725229390 846100955 1015321146 1450458780 1692201910 2030642292 2538302865 3384403820 5076605730 10153211460