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4968007695 = 335710152051
BaseRepresentation
bin1001010000001110…
…11100100000001111
3110211020011221101000
410220013130200033
540133302221240
62140545351343
7234053240310
oct45007344017
913736157330
104968007695
11211a346792
12b67938553
13612339b31
14351b34607
151e1237430
hex1281dc80f

4968007695 has 64 divisors (see below), whose sum is σ = 10193863680. Its totient is φ = 2248560000.

The previous prime is 4968007657. The next prime is 4968007697. The reversal of 4968007695 is 5967008694.

4968007695 is a `hidden beast` number, since 496 + 80 + 0 + 76 + 9 + 5 = 666.

It is not a de Polignac number, because 4968007695 - 28 = 4968007439 is a prime.

It is a super-2 number, since 2×49680076952 = 49362200915158426050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4968007697) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69420 + ... + 121470.

It is an arithmetic number, because the mean of its divisors is an integer number (159279120).

Almost surely, 24968007695 is an apocalyptic number.

4968007695 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4968007695 is an abundant number, since it is smaller than the sum of its proper divisors (5225855985).

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

4968007695 is a wasteful number, since it uses less digits than its factorization.

4968007695 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52173 (or 52167 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 4968007695 is about 70484.0953336283. The cubic root of 4968007695 is about 1706.3210688910.

Subtracting 4968007695 from its reverse (5967008694), we obtain a palindrome (999000999).

The spelling of 4968007695 in words is "four billion, nine hundred sixty-eight million, seven thousand, six hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 101 105 135 189 303 315 505 707 909 945 1515 2121 2727 3535 4545 6363 10605 13635 19089 31815 52051 95445 156153 260255 364357 468459 780765 1093071 1405377 1821785 2342295 3279213 5257151 5465355 7026885 9837639 15771453 16396065 26285755 36800057 47314359 49188195 78857265 110400171 141943077 184000285 236571795 331200513 552000855 709715385 993601539 1656002565 4968007695