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2078962368 = 263717194789
BaseRepresentation
bin111101111101010…
…0111001011000000
312100212221020020020
41323322213023000
513224203243433
6542143213440
7102342613530
oct17372471300
95325836206
102078962368
1197757a21a
124a02a7280
13271933362
1415a1714c0
15c27adcb3
hex7bea72c0

2078962368 has 224 divisors, whose sum is σ = 7007961600. Its totient is φ = 529514496.

The previous prime is 2078962339. The next prime is 2078962399. The reversal of 2078962368 is 8632698702.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2078962368.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 431718 + ... + 436506.

Almost surely, 22078962368 is an apocalyptic number.

2078962368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2078962368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503980800).

2078962368 is an abundant number, since it is smaller than the sum of its proper divisors (4928999232).

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

2078962368 is a wasteful number, since it uses less digits than its factorization.

2078962368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 2078962368 is about 45595.6397915415. The cubic root of 2078962368 is about 1276.2885587375.

The spelling of 2078962368 in words is "two billion, seventy-eight million, nine hundred sixty-two thousand, three hundred sixty-eight".