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2630432712 = 23317371631069
BaseRepresentation
bin1001110011001001…
…0011011111001000
320210022121211022210
42130302103133020
520341342321322
61113003145120
7122120211015
oct23462233710
96708554283
102630432712
11112a8a1036
12614b151a0
1332bc69b7b
141ad4c470c
15105de270c
hex9cc937c8

2630432712 has 128 divisors (see below), whose sum is σ = 7201699200. Its totient is φ = 797257728.

The previous prime is 2630432683. The next prime is 2630432737. The reversal of 2630432712 is 2172340362.

2630432712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2630432712.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2460114 + ... + 2461182.

It is an arithmetic number, because the mean of its divisors is an integer number (56263275).

Almost surely, 22630432712 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 2630432712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600849600).

2630432712 is an abundant number, since it is smaller than the sum of its proper divisors (4571266488).

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

2630432712 is a wasteful number, since it uses less digits than its factorization.

2630432712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 2630432712 is about 51287.7442670274. The cubic root of 2630432712 is about 1380.4130794480.

The spelling of 2630432712 in words is "two billion, six hundred thirty million, four hundred thirty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 51 68 74 102 111 136 148 163 204 222 296 326 408 444 489 629 652 888 978 1069 1258 1304 1887 1956 2138 2516 2771 3207 3774 3912 4276 5032 5542 6031 6414 7548 8313 8552 11084 12062 12828 15096 16626 18093 18173 22168 24124 25656 33252 36186 36346 39553 48248 54519 66504 72372 72692 79106 102527 109038 118659 144744 145384 158212 174247 205054 218076 237318 307581 316424 348494 410108 436152 474636 522741 615162 672401 696988 820216 949272 1045482 1230324 1344802 1393976 2017203 2090964 2460648 2689604 2962199 4034406 4181928 5379208 5924398 6447139 8068812 8886597 11848796 12894278 16137624 17773194 19341417 23697592 25788556 35546388 38682834 51577112 71092776 77365668 109601363 154731336 219202726 328804089 438405452 657608178 876810904 1315216356 2630432712