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11330597960 = 23511311097621
BaseRepresentation
bin10101000110101101…
…10011010001001000
31002020122112000101022
422203112303101020
5141201113113320
65112154012012
7550532331203
oct124326632110
932218460338
1011330597960
114894910a50
122242717008
1310b7579646
14796b6a93a
15464ae4325
hex2a35b3448

11330597960 has 128 divisors (see below), whose sum is σ = 28975795200. Its totient is φ = 3950208000.

The previous prime is 11330597909. The next prime is 11330597963. The reversal of 11330597960 is 6979503311.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (11330597963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1482950 + ... + 1490570.

It is an arithmetic number, because the mean of its divisors is an integer number (226373400).

Almost surely, 211330597960 is an apocalyptic number.

11330597960 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 11330597960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14487897600).

11330597960 is an abundant number, since it is smaller than the sum of its proper divisors (17645197240).

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

11330597960 is a wasteful number, since it uses less digits than its factorization.

11330597960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7783 (or 7779 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 44.

The spelling of 11330597960 in words is "eleven billion, three hundred thirty million, five hundred ninety-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 109 110 124 155 218 220 248 310 341 436 440 545 620 682 872 1090 1199 1240 1364 1705 2180 2398 2728 3379 3410 4360 4796 5995 6758 6820 7621 9592 11990 13516 13640 15242 16895 23980 27032 30484 33790 37169 38105 47960 60968 67580 74338 76210 83831 135160 148676 152420 167662 185845 236251 297352 304840 335324 371690 419155 472502 670648 743380 830689 838310 945004 1181255 1486760 1661378 1676620 1890008 2362510 2598761 3322756 3353240 4153445 4725020 5197522 6645512 8306890 9137579 9450040 10395044 12993805 16613780 18275158 20790088 25751359 25987610 33227560 36550316 45687895 51502718 51975220 73100632 91375790 103005436 103950440 128756795 182751580 206010872 257513590 283264949 365503160 515027180 566529898 1030054360 1133059796 1416324745 2266119592 2832649490 5665298980 11330597960