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12299031792 = 2433611014621
BaseRepresentation
bin10110111010001010…
…00101010011110000
31011202010210112212000
423131011011103300
5200142023004132
65352230534000
7613532021355
oct133505052360
934663715760
1012299031792
115241534693
122472b07300
1312100b3a08
1484961c62c
154beb3c87c
hex2dd1454f0

12299031792 has 160 divisors (see below), whose sum is σ = 36244614720. Its totient is φ = 3991680000.

The previous prime is 12299031761. The next prime is 12299031793. The reversal of 12299031792 is 29713099221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12299031793) 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, 2659242 + ... + 2663862.

It is an arithmetic number, because the mean of its divisors is an integer number (226528842).

Almost surely, 212299031792 is an apocalyptic number.

12299031792 is a gapful number since it is divisible by the number (12) 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 12299031792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18122307360).

12299031792 is an abundant number, since it is smaller than the sum of its proper divisors (23945582928).

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

12299031792 is a wasteful number, since it uses less digits than its factorization.

12299031792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4800 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 12299031792 in words is "twelve billion, two hundred ninety-nine million, thirty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 101 108 122 144 183 202 216 244 303 366 404 432 488 549 606 732 808 909 976 1098 1212 1464 1616 1647 1818 2196 2424 2727 2928 3294 3636 4392 4621 4848 5454 6161 6588 7272 8784 9242 10908 12322 13176 13863 14544 18483 18484 21816 24644 26352 27726 36966 36968 41589 43632 49288 55449 55452 73932 73936 83178 98576 110898 110904 124767 147864 166347 166356 221796 221808 249534 281881 295728 332694 332712 443592 466721 499068 563762 665388 665424 845643 887184 933442 998136 1127524 1330776 1400163 1691286 1866884 1996272 2255048 2536929 2661552 2800326 3382572 3733768 4200489 4510096 5073858 5600652 6765144 7467536 7610787 8400978 10147716 11201304 12601467 13530288 15221574 16801956 20295432 22402608 25202934 28469981 30443148 33603912 40590864 50405868 56939962 60886296 67207824 85409943 100811736 113879924 121772592 170819886 201623472 227759848 256229829 341639772 455519696 512459658 683279544 768689487 1024919316 1366559088 1537378974 2049838632 3074757948 4099677264 6149515896 12299031792