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11968232320 = 2751113712409
BaseRepresentation
bin10110010010101110…
…01011101110000000
31010220002100012021201
423021113023232000
5144002331413240
65255332430544
7602404203412
oct131127135600
933802305251
1011968232320
1150918340a0
1223a0178454
1311896c1095
1481770c9b2
154a0a97d9a
hex2c95cbb80

11968232320 has 128 divisors (see below), whose sum is σ = 31442968800. Its totient is φ = 4319969280.

The previous prime is 11968232291. The next prime is 11968232323. The reversal of 11968232320 is 2323286911.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 11968232320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11968232323) 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, 958276 + ... + 970684.

Almost surely, 211968232320 is an apocalyptic number.

11968232320 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 11968232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15721484400).

11968232320 is an abundant number, since it is smaller than the sum of its proper divisors (19474736480).

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

11968232320 is a wasteful number, since it uses less digits than its factorization.

11968232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12576 (or 12564 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 11968232320 in words is "eleven billion, nine hundred sixty-eight million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 137 160 176 220 274 320 352 440 548 640 685 704 880 1096 1370 1408 1507 1760 2192 2740 3014 3520 4384 5480 6028 7040 7535 8768 10960 12056 12409 15070 17536 21920 24112 24818 30140 43840 48224 49636 60280 62045 87680 96448 99272 120560 124090 136499 192896 198544 241120 248180 272998 397088 482240 496360 545996 682495 794176 964480 992720 1091992 1364990 1588352 1700033 1985440 2183984 2729980 3400066 3970880 4367968 5459960 6800132 7941760 8500165 8735936 10919920 13600264 17000330 17471872 18700363 21839840 27200528 34000660 37400726 43679680 54401056 68001320 74801452 87359360 93501815 108802112 136002640 149602904 187003630 217604224 272005280 299205808 374007260 544010560 598411616 748014520 1088021120 1196823232 1496029040 2393646464 2992058080 5984116160 11968232320