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2097282912 = 25359379977
BaseRepresentation
bin111110100000001…
…1111111101100000
312102011102000021220
41331000133331200
513243401023122
6544040015040
7102654416304
oct17500377540
95364360256
102097282912
1198695276a
124a6461480
1327567920a
1415c77dd04
15c41cc25c
hex7d01ff60

2097282912 has 96 divisors (see below), whose sum is σ = 5619196800. Its totient is φ = 684730368.

The previous prime is 2097282857. The next prime is 2097282917. The reversal of 2097282912 is 2192827902.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×20972829122 = 8797191225934399488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097282917) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2146168 + ... + 2147144.

It is an arithmetic number, because the mean of its divisors is an integer number (58533300).

Almost surely, 22097282912 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 2097282912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809598400).

2097282912 is an abundant number, since it is smaller than the sum of its proper divisors (3521913888).

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

2097282912 is a wasteful number, since it uses less digits than its factorization.

2097282912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 2097282912 is about 45796.1014934678. The cubic root of 2097282912 is about 1280.0266335604.

The spelling of 2097282912 in words is "two billion, ninety-seven million, two hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 379 472 708 758 944 977 1137 1416 1516 1888 1954 2274 2832 2931 3032 3908 4548 5664 5862 6064 7816 9096 11724 12128 15632 18192 22361 23448 31264 36384 44722 46896 57643 67083 89444 93792 115286 134166 172929 178888 230572 268332 345858 357776 370283 461144 536664 691716 715552 740566 922288 1073328 1110849 1383432 1481132 1844576 2146656 2221698 2766864 2962264 4443396 5533728 5924528 8886792 11849056 17773584 21846697 35547168 43693394 65540091 87386788 131080182 174773576 262160364 349547152 524320728 699094304 1048641456 2097282912