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4013634336 = 253291441679
BaseRepresentation
bin1110111100111011…
…0011001100100000
3101100201100202020120
43233032303030200
531204442244321
61502134040240
7201314220555
oct35716631440
911321322216
104013634336
11177a656978
129401a9080
134bc6b657a
142a10a2a2c
15187569ec6
hexef3b3320

4013634336 has 48 divisors (see below), whose sum is σ = 10899100800. Its totient is φ = 1291743488.

The previous prime is 4013634301. The next prime is 4013634341. The reversal of 4013634336 is 6334363104.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×40136343362 = 32218521166236321792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4013634297 and 4013634306.

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 7 ways as a sum of consecutive naturals, for example, 718056 + ... + 723623.

It is an arithmetic number, because the mean of its divisors is an integer number (227064600).

Almost surely, 24013634336 is an apocalyptic number.

It is an amenable number.

4013634336 is an abundant number, since it is smaller than the sum of its proper divisors (6885466464).

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

4013634336 is a wasteful number, since it uses less digits than its factorization.

4013634336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441721 (or 1441713 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

The square root of 4013634336 is about 63353.2503980656. The cubic root of 4013634336 is about 1589.2026032122.

The spelling of 4013634336 in words is "four billion, thirteen million, six hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 1441679 2883358 4325037 5766716 8650074 11533432 17300148 23066864 34600296 41808691 46133728 69200592 83617382 125426073 138401184 167234764 250852146 334469528 501704292 668939056 1003408584 1337878112 2006817168 4013634336