Search a number
-
+
4292805506264 = 231171687068743
BaseRepresentation
bin111110011101111111001…
…001011011010011011000
3120012101110222220120122022
4332131333021123103120
51030313131202200024
613044030532114012
7622100502514202
oct76357711332330
916171428816568
104292805506264
111405628882280
12593b83a65908
13251a6b244452
1410bab6b77772
15769ebc3235e
hex3e77f25b4d8

4292805506264 has 32 divisors (see below), whose sum is σ = 8904410922240. Its totient is φ = 1923792477600.

The previous prime is 4292805506263. The next prime is 4292805506333. The reversal of 4292805506264 is 4626055082924.

It is a super-2 number, since 2×42928055062642 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4292805506263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343528124 + ... + 343540619.

It is an arithmetic number, because the mean of its divisors is an integer number (278262841320).

Almost surely, 24292805506264 is an apocalyptic number.

4292805506264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4292805506264 is an abundant number, since it is smaller than the sum of its proper divisors (4611605415976).

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

4292805506264 is a wasteful number, since it uses less digits than its factorization.

4292805506264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687068831 (or 687068827 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 53.

The spelling of 4292805506264 in words is "four trillion, two hundred ninety-two billion, eight hundred five million, five hundred six thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 568 781 1562 3124 6248 687068743 1374137486 2748274972 5496549944 7557756173 15115512346 30231024692 48781880753 60462049384 97563761506 195127523012 390255046024 536600688283 1073201376566 2146402753132 4292805506264