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5676114864 = 243723372503
BaseRepresentation
bin1010100100101001…
…01010001110110000
3112122120121111210110
411102110222032300
543111041133424
62335122501320
7260442115560
oct52224521660
915576544713
105676114864
112453023122
121124b04840
136c5c57364
143bbbbcda0
152334abc29
hex15252a3b0

5676114864 has 80 divisors (see below), whose sum is σ = 16830208512. Its totient is φ = 1614764544.

The previous prime is 5676114863. The next prime is 5676114877. The reversal of 5676114864 is 4684116765.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5676114863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42037 + ... + 114539.

Almost surely, 25676114864 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 5676114864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8415104256).

5676114864 is an abundant number, since it is smaller than the sum of its proper divisors (11154093648).

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

5676114864 is a wasteful number, since it uses less digits than its factorization.

5676114864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72754 (or 72748 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 5676114864 is about 75339.9951154763. The cubic root of 5676114864 is about 1783.8173832928.

The spelling of 5676114864 in words is "five billion, six hundred seventy-six million, one hundred fourteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 233 336 466 699 932 1398 1631 1864 2796 3262 3728 4893 5592 6524 9786 11184 13048 19572 26096 39144 72503 78288 145006 217509 290012 435018 507521 580024 870036 1015042 1160048 1522563 1740072 2030084 3045126 3480144 4060168 6090252 8120336 12180504 16893199 24361008 33786398 50679597 67572796 101359194 118252393 135145592 202718388 236504786 270291184 354757179 405436776 473009572 709514358 810873552 946019144 1419028716 1892038288 2838057432 5676114864