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2100696256 = 26173675261
BaseRepresentation
bin111110100110110…
…0001010011000000
312102101211102112001
41331031201103000
513300234240011
6544241113344
7103025423611
oct17515412300
95371742461
102100696256
1198887420a
124a7628854
132762a2a49
1415cdcbc08
15c46537c1
hex7d3614c0

2100696256 has 56 divisors (see below), whose sum is σ = 4426646976. Its totient is φ = 985681920.

The previous prime is 2100696251. The next prime is 2100696271. The reversal of 2100696256 is 6526960012.

It is not an unprimeable number, because it can be changed into a prime (2100696251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396666 + ... + 401926.

Almost surely, 22100696256 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 2100696256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213323488).

2100696256 is an abundant number, since it is smaller than the sum of its proper divisors (2325950720).

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

2100696256 is a wasteful number, since it uses less digits than its factorization.

2100696256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5657 (or 5647 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 2100696256 is about 45833.3530957533. The cubic root of 2100696256 is about 1280.7206748934.

The spelling of 2100696256 in words is "two billion, one hundred million, six hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 367 544 734 1088 1468 2936 5261 5872 6239 10522 11744 12478 21044 23488 24956 42088 49912 84176 89437 99824 168352 178874 199648 336704 357748 399296 715496 1430992 1930787 2861984 3861574 5723968 7723148 15446296 30892592 32823379 61785184 65646758 123570368 131293516 262587032 525174064 1050348128 2100696256