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2119713024 = 283111319301
BaseRepresentation
bin111111001011000…
…0100000100000000
312110201121120121210
41332112010010000
513320121304044
6550200450120
7103346156232
oct17626040400
95421546553
102119713024
11998582850
124b1a79940
1327a200780
1416173c252
15c615d1b9
hex7e584100

2119713024 has 144 divisors (see below), whose sum is σ = 6628152384. Its totient is φ = 592896000.

The previous prime is 2119712999. The next prime is 2119713031. The reversal of 2119713024 is 4203179112.

It is a junction number, because it is equal to n+sod(n) for n = 2119712982 and 2119713000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100174 + ... + 119474.

It is an arithmetic number, because the mean of its divisors is an integer number (46028836).

Almost surely, 22119713024 is an apocalyptic number.

2119713024 is a gapful number since it is divisible by the number (24) 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 2119713024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314076192).

2119713024 is an abundant number, since it is smaller than the sum of its proper divisors (4508439360).

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

2119713024 is a wasteful number, since it uses less digits than its factorization.

2119713024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19344 (or 19330 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 2119713024 is about 46040.3412671974. The cubic root of 2119713024 is about 1284.5736899310.

The spelling of 2119713024 in words is "two billion, one hundred nineteen million, seven hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 416 429 528 572 624 704 768 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 2816 3328 3432 4224 4576 4992 6864 8448 9152 9984 13728 18304 19301 27456 36608 38602 54912 57903 77204 109824 115806 154408 212311 231612 250913 308816 424622 463224 501826 617632 636933 752739 849244 926448 1003652 1235264 1273866 1505478 1698488 1852896 2007304 2470528 2547732 2760043 3010956 3396976 3705792 4014608 4941056 5095464 5520086 6021912 6793952 7411584 8029216 8280129 10190928 11040172 12043824 13587904 14823168 16058432 16560258 20381856 22080344 24087648 27175808 32116864 33120516 40763712 44160688 48175296 54351616 64233728 66241032 81527424 88321376 96350592 132482064 163054848 176642752 192701184 264964128 353285504 529928256 706571008 1059856512 2119713024