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442856370813784 = 231761421126797899
BaseRepresentation
bin110010010110001101000100…
…0101010110011101101011000
32011002000122200220210202120221
41210230122020222303231120
5431021224321412020114
64205513224054525424
7162165213465223144
oct14454321052635530
92132018626722527
10442856370813784
1111912037209aa54
1241804646666874
131601523ac24855
147b50511402224
15362ea9ce43524
hex192c688ab3b58

442856370813784 has 64 divisors (see below), whose sum is σ = 895735869012000. Its totient is φ = 204499649894400.

The previous prime is 442856370813763. The next prime is 442856370813817. The reversal of 442856370813784 is 487318073658244.

It is a super-2 number, since 2×4428563708137842 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59906334 + ... + 66891565.

Almost surely, 2442856370813784 is an apocalyptic number.

It is an amenable number.

442856370813784 is an abundant number, since it is smaller than the sum of its proper divisors (452879498198216).

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

442856370813784 is a wasteful number, since it uses less digits than its factorization.

442856370813784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126798404 (or 126798400 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 70.

The spelling of 442856370813784 in words is "four hundred forty-two trillion, eight hundred fifty-six billion, three hundred seventy million, eight hundred thirteen thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 17 34 61 68 122 136 244 421 488 842 1037 1684 2074 3368 4148 7157 8296 14314 25681 28628 51362 57256 102724 205448 436577 873154 1746308 3492616 126797899 253595798 507191596 1014383192 2155564283 4311128566 7734671839 8622257132 15469343678 17244514264 30938687356 53381915479 61877374712 106763830958 131489421263 213527661916 262978842526 427055323832 525957685052 907492563143 1051915370104 1814985126286 3256296844219 3629970252572 6512593688438 7259940505144 13025187376876 26050374753752 55357046351723 110714092703446 221428185406892 442856370813784