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2869106832 = 2435799341
BaseRepresentation
bin1010101100000011…
…0001100010010000
321101221201201200000
42223000301202100
521333442404312
61152410530000
7131046001644
oct25300614220
97357651600
102869106832
111242599479
12680a36900
13369545367
141d3092c24
1511bd3aadc
hexab031890

2869106832 has 120 divisors (see below), whose sum is σ = 8433210240. Its totient is φ = 944161920.

The previous prime is 2869106803. The next prime is 2869106833. The reversal of 2869106832 is 2386019682.

It is not an unprimeable number, because it can be changed into a prime (2869106833) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 302482 + ... + 311822.

It is an arithmetic number, because the mean of its divisors is an integer number (70276752).

Almost surely, 22869106832 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 2869106832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216605120).

2869106832 is an abundant number, since it is smaller than the sum of its proper divisors (5564103408).

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

2869106832 is an equidigital number, since it uses as much as digits as its factorization.

2869106832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9443 (or 9425 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2869106832 is about 53564.0442087787. The cubic root of 2869106832 is about 1420.9612667341.

The spelling of 2869106832 in words is "two billion, eight hundred sixty-nine million, one hundred six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 144 158 162 216 237 243 316 324 432 474 486 632 648 711 948 972 1264 1296 1422 1896 1944 2133 2844 3792 3888 4266 5688 6399 8532 9341 11376 12798 17064 18682 19197 25596 28023 34128 37364 38394 51192 56046 74728 76788 84069 102384 112092 149456 153576 168138 224184 252207 307152 336276 448368 504414 672552 737939 756621 1008828 1345104 1475878 1513242 2017656 2213817 2269863 2951756 3026484 4035312 4427634 4539726 5903512 6052968 6641451 8855268 9079452 11807024 12105936 13282902 17710536 18158904 19924353 26565804 35421072 36317808 39848706 53131608 59773059 79697412 106263216 119546118 159394824 179319177 239092236 318789648 358638354 478184472 717276708 956368944 1434553416 2869106832