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12377383824 = 2431347676299
BaseRepresentation
bin10111000011011111…
…11110001110010000
31011221121020020122010
423201233332032100
5200322102240244
65404110142520
7615503012061
oct134157761620
934847206563
1012377383824
11528178a733
1224951b1a40
1312233b7c70
14855bb6568
154c6967eb9
hex2e1bfe390

12377383824 has 160 divisors (see below), whose sum is σ = 35697715200. Its totient is φ = 3671179776.

The previous prime is 12377383801. The next prime is 12377383859. The reversal of 12377383824 is 42838377321.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1961827 + ... + 1968125.

It is an arithmetic number, because the mean of its divisors is an integer number (223110720).

Almost surely, 212377383824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12377383824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17848857600).

12377383824 is an abundant number, since it is smaller than the sum of its proper divisors (23320331376).

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

12377383824 is a wasteful number, since it uses less digits than its factorization.

12377383824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6437 (or 6431 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The spelling of 12377383824 in words is "twelve billion, three hundred seventy-seven million, three hundred eighty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 67 78 94 104 134 141 156 188 201 208 268 282 312 376 402 536 564 611 624 752 804 871 1072 1128 1222 1608 1742 1833 2256 2444 2613 3149 3216 3484 3666 4888 5226 6298 6299 6968 7332 9447 9776 10452 12596 12598 13936 14664 18894 18897 20904 25192 25196 29328 37788 37794 40937 41808 50384 50392 75576 75588 81874 81887 100784 122811 151152 151176 163748 163774 245622 245661 296053 302352 327496 327548 422033 491244 491322 592106 654992 655096 844066 888159 982488 982644 1184212 1266099 1310192 1688132 1776318 1964976 1965288 2368424 2532198 3376264 3552636 3848689 3930576 4736848 5064396 5486429 6752528 7105272 7697378 10128792 10972858 11546067 14210544 15394756 16459287 19835551 20257584 21945716 23092134 30789512 32918574 39671102 43891432 46184268 59506653 61579024 65837148 79342204 87782864 92368536 119013306 131674296 158684408 184737072 238026612 257862163 263348592 317368816 476053224 515724326 773586489 952106448 1031448652 1547172978 2062897304 3094345956 4125794608 6188691912 12377383824