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11466961900 = 2252283613661
BaseRepresentation
bin10101010110111101…
…11111001111101100
31002121011010000112121
422223132333033230
5141441020240100
65133504442324
7554106365542
oct125336771754
932534100477
1011466961900
11495488a219
1222803193a4
1311098b2974
147aad05d92
15471a7d51a
hex2ab7bf3ec

11466961900 has 72 divisors (see below), whose sum is σ = 25049809904. Its totient is φ = 4556217600.

The previous prime is 11466961897. The next prime is 11466961927. The reversal of 11466961900 is 916966411.

It is a super-2 number, since 2×114669619002 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17347570 + ... + 17348230.

Almost surely, 211466961900 is an apocalyptic number.

11466961900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11466961900 is an abundant number, since it is smaller than the sum of its proper divisors (13582848004).

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

11466961900 is a wasteful number, since it uses less digits than its factorization.

11466961900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The spelling of 11466961900 in words is "eleven billion, four hundred sixty-six million, nine hundred sixty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 283 566 613 661 1132 1226 1322 1415 2452 2644 2830 3065 3305 5660 6130 6610 7075 12260 13220 14150 15325 16525 28300 30650 33050 61300 66100 173479 187063 346958 374126 405193 693916 748252 810386 867395 935315 1620772 1734790 1870630 2025965 3469580 3741260 4051930 4336975 4676575 8103860 8673950 9353150 10129825 17347900 18706300 20259650 40519300 114669619 229339238 458678476 573348095 1146696190 2293392380 2866740475 5733480950 11466961900