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2129913792 = 26341372999
BaseRepresentation
bin111111011110011…
…1110011111000000
312111102210211110000
41332330332133000
513330224220132
6551203240000
7103531653126
oct17674763700
95442724400
102129913792
119a330a836
124b5379000
1327c362826
14162c35916
15c6ec587c
hex7ef3e7c0

2129913792 has 140 divisors (see below), whose sum is σ = 6361938000. Its totient is φ = 704553984.

The previous prime is 2129913749. The next prime is 2129913817. The reversal of 2129913792 is 2973199212.

It is a super-2 number, since 2×21299137922 = 9073065522703638528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 708709 + ... + 711707.

Almost surely, 22129913792 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 2129913792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180969000).

2129913792 is an abundant number, since it is smaller than the sum of its proper divisors (4232024208).

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

2129913792 is a wasteful number, since it uses less digits than its factorization.

2129913792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3141 counting only the distinct ones).

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

The square root of 2129913792 is about 46150.9890684913. The cubic root of 2129913792 is about 1286.6309927140.

The spelling of 2129913792 in words is "two billion, one hundred twenty-nine million, nine hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 137 144 162 192 216 274 288 324 411 432 548 576 648 822 864 1096 1233 1296 1644 1728 2192 2466 2592 2999 3288 3699 4384 4932 5184 5998 6576 7398 8768 8997 9864 11097 11996 13152 14796 17994 19728 22194 23992 26304 26991 29592 35988 39456 44388 47984 53982 59184 71976 78912 80973 88776 95968 107964 118368 143952 161946 177552 191936 215928 236736 242919 287904 323892 355104 410863 431856 485838 575808 647784 710208 821726 863712 971676 1232589 1295568 1643452 1727424 1943352 2465178 2591136 3286904 3697767 3886704 4930356 5182272 6573808 7395534 7773408 9860712 11093301 13147616 14791068 15546816 19721424 22186602 26295232 29582136 33279903 39442848 44373204 59164272 66559806 78885696 88746408 118328544 133119612 177492816 236657088 266239224 354985632 532478448 709971264 1064956896 2129913792