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11246471440 = 245295982163
BaseRepresentation
bin10100111100101011…
…11000100100010000
31002000210012221111021
422132111320210100
5141013044041230
65055550525224
7545461300321
oct123625704420
932023187437
1011246471440
1148513814a6
12221a506814
1310a3002c39
1478990c448
1545c527c7a
hex29e578910

11246471440 has 80 divisors (see below), whose sum is σ = 27508507200. Its totient is φ = 4269794816.

The previous prime is 11246471417. The next prime is 11246471449. The reversal of 11246471440 is 4417464211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11246471396 and 11246471405.

It is not an unprimeable number, because it can be changed into a prime (11246471449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95799 + ... + 177961.

It is an arithmetic number, because the mean of its divisors is an integer number (343856340).

Almost surely, 211246471440 is an apocalyptic number.

11246471440 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 11246471440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13754253600).

11246471440 is an abundant number, since it is smaller than the sum of its proper divisors (16262035760).

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

11246471440 is a wasteful number, since it uses less digits than its factorization.

11246471440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82264 (or 82258 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 11246471440 in words is "eleven billion, two hundred forty-six million, four hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 59 80 116 118 145 232 236 290 295 464 472 580 590 944 1160 1180 1711 2320 2360 3422 4720 6844 8555 13688 17110 27376 34220 68440 82163 136880 164326 328652 410815 657304 821630 1314608 1643260 2382727 3286520 4765454 4847617 6573040 9530908 9695234 11913635 19061816 19390468 23827270 24238085 38123632 38780936 47654540 48476170 77561872 95309080 96952340 140580893 190618160 193904680 281161786 387809360 562323572 702904465 1124647144 1405808930 2249294288 2811617860 5623235720 11246471440