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11299019520 = 28357141443
BaseRepresentation
bin10101000010111100…
…10101101100000000
31002011110002122220110
422201132111230000
5141120022111040
65105105111320
7550000036605
oct124136255400
932143078813
1011299019520
114879002668
122234028540
1310b0b71089
147928aa6ac
15461e57980
hex2a1795b00

11299019520 has 144 divisors (see below), whose sum is σ = 36595383552. Its totient is φ = 2970562560.

The previous prime is 11299019509. The next prime is 11299019539. The reversal of 11299019520 is 2591099211.

It is a super-2 number, since 2×112990195202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251919 + ... + 293361.

It is an arithmetic number, because the mean of its divisors is an integer number (254134608).

Almost surely, 211299019520 is an apocalyptic number.

11299019520 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 11299019520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18297691776).

11299019520 is an abundant number, since it is smaller than the sum of its proper divisors (25296364032).

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

11299019520 is an equidigital number, since it uses as much as digits as its factorization.

11299019520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41538 (or 41524 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 39.

The spelling of 11299019520 in words is "eleven billion, two hundred ninety-nine million, nineteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 128 142 160 192 213 240 256 284 320 355 384 426 480 568 640 710 768 852 960 1065 1136 1280 1420 1704 1920 2130 2272 2840 3408 3840 4260 4544 5680 6816 8520 9088 11360 13632 17040 18176 22720 27264 34080 41443 45440 54528 68160 82886 90880 124329 136320 165772 207215 248658 272640 331544 414430 497316 621645 663088 828860 994632 1243290 1326176 1657720 1989264 2486580 2652352 2942453 3315440 3978528 4973160 5304704 5884906 6630880 7957056 8827359 9946320 10609408 11769812 13261760 14712265 15914112 17654718 19892640 23539624 26523520 29424530 31828224 35309436 39785280 44136795 47079248 53047040 58849060 70618872 79570560 88273590 94158496 117698120 141237744 159141120 176547180 188316992 235396240 282475488 353094360 376633984 470792480 564950976 706188720 753267968 941584960 1129901952 1412377440 1883169920 2259803904 2824754880 3766339840 5649509760 11299019520