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2108746416 = 24376419791
BaseRepresentation
bin111110110110000…
…1110101010110000
312102221222102021010
41331230032222300
513304314341131
6545125430520
7103154022510
oct17554165260
95387872233
102108746416
11992372437
124aa26b440
13277b60c5a
141600c5840
15c51e3b46
hex7db0eab0

2108746416 has 80 divisors (see below), whose sum is σ = 6236172288. Its totient is φ = 601497600.

The previous prime is 2108746411. The next prime is 2108746429. The reversal of 2108746416 is 6146478012.

It is a super-2 number, since 2×21087464162 = 8893622893985690112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2108746411) 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, 210481 + ... + 220271.

Almost surely, 22108746416 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 2108746416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118086144).

2108746416 is an abundant number, since it is smaller than the sum of its proper divisors (4127425872).

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

2108746416 is a wasteful number, since it uses less digits than its factorization.

2108746416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10450 (or 10444 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2108746416 is about 45921.0890114771. The cubic root of 2108746416 is about 1282.3545561194.

The spelling of 2108746416 in words is "two billion, one hundred eight million, seven hundred forty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 641 1282 1923 2564 3846 4487 5128 7692 8974 9791 10256 13461 15384 17948 19582 26922 29373 30768 35896 39164 53844 58746 68537 71792 78328 107688 117492 137074 156656 205611 215376 234984 274148 411222 469968 548296 822444 1096592 1644888 3289776 6276031 12552062 18828093 25104124 37656186 43932217 50208248 75312372 87864434 100416496 131796651 150624744 175728868 263593302 301249488 351457736 527186604 702915472 1054373208 2108746416