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11993708420 = 22517312115393
BaseRepresentation
bin10110010101110000…
…10111011110000100
31010221212021111220222
423022320113132010
5144030342132140
65302042443512
7603133560641
oct131270273604
933855244828
1011993708420
1150a5154721
1223a8803598
131191a70bb5
1481ac60dc8
154a2e2b5b5
hex2cae17784

11993708420 has 96 divisors (see below), whose sum is σ = 27664229376. Its totient is φ = 4348108800.

The previous prime is 11993708417. The next prime is 11993708473. The reversal of 11993708420 is 2480739911.

11993708420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2221244 + ... + 2226636.

It is an arithmetic number, because the mean of its divisors is an integer number (288169056).

Almost surely, 211993708420 is an apocalyptic number.

11993708420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11993708420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13832114688).

11993708420 is an abundant number, since it is smaller than the sum of its proper divisors (15670520956).

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

11993708420 is a wasteful number, since it uses less digits than its factorization.

11993708420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5661 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The spelling of 11993708420 in words is "eleven billion, nine hundred ninety-three million, seven hundred eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 211 310 340 422 527 620 844 1054 1055 2108 2110 2635 3587 4220 5270 5393 6541 7174 10540 10786 13082 14348 17935 21572 26164 26965 32705 35870 53930 65410 71740 91681 107860 111197 130820 167183 183362 222394 334366 366724 444788 458405 555985 668732 835915 916810 1111970 1137923 1671830 1833620 2223940 2275846 2842111 3343660 4551692 5684222 5689615 11368444 11379230 14210555 19344691 22758460 28421110 35275613 38689382 56842220 70551226 77378764 96723455 141102452 176378065 193446910 352756130 386893820 599685421 705512260 1199370842 2398741684 2998427105 5996854210 11993708420