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19418626032 = 24313473112129
BaseRepresentation
bin10010000101011100…
…001011011111110000
31212010022120102002120
4102011130023133300
5304232132013112
612530520314240
71255132412031
oct220534133760
955108512076
1019418626032
118265343173
12391b312980
131aa6100c80
14d22dcaa88
15789bcbe8c
hex48570b7f0

19418626032 has 160 divisors (see below), whose sum is σ = 55376455680. Its totient is φ = 5826293760.

The previous prime is 19418625949. The next prime is 19418626049. The reversal of 19418626032 is 23062681491.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9119944 + ... + 9122072.

It is an arithmetic number, because the mean of its divisors is an integer number (346102848).

Almost surely, 219418626032 is an apocalyptic number.

19418626032 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 19418626032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27688227840).

19418626032 is an abundant number, since it is smaller than the sum of its proper divisors (35957829648).

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

19418626032 is a wasteful number, since it uses less digits than its factorization.

19418626032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 19418626032 in words is "nineteen billion, four hundred eighteen million, six hundred twenty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 78 94 104 141 156 188 208 282 311 312 376 564 611 622 624 752 933 1128 1222 1244 1833 1866 2129 2256 2444 2488 3666 3732 4043 4258 4888 4976 6387 7332 7464 8086 8516 9776 12129 12774 14617 14664 14928 16172 17032 24258 25548 27677 29234 29328 32344 34064 43851 48516 51096 55354 58468 64688 83031 87702 97032 100063 102192 110708 116936 166062 175404 190021 194064 200126 221416 233872 300189 332124 350808 380042 400252 442832 570063 600378 662119 664248 701616 760084 800504 1140126 1200756 1300819 1324238 1328496 1520168 1601008 1986357 2280252 2401512 2601638 2648476 3040336 3902457 3972714 4560504 4803024 5203276 5296952 7804914 7945428 8607547 9121008 10406552 10593904 15609828 15890856 17215094 20813104 25822641 31119593 31219656 31781712 34430188 51645282 62239186 62439312 68860376 93358779 103290564 124478372 137720752 186717558 206581128 248956744 373435116 404554709 413162256 497913488 746870232 809109418 1213664127 1493740464 1618218836 2427328254 3236437672 4854656508 6472875344 9709313016 19418626032