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46224264042 = 23211268387013
BaseRepresentation
bin101011000011001011…
…100100101101101010
311102022110002220121100
4223003023210231222
51224131402422132
633122442222230
73224323522125
oct530313445552
9142273086540
1046224264042
1118670434810
128b604b4976
13448874c838
1423470b73bc
15130816d37c
hexac32e4b6a

46224264042 has 48 divisors (see below), whose sum is σ = 109299329568. Its totient is φ = 14001971040.

The previous prime is 46224264029. The next prime is 46224264049. The reversal of 46224264042 is 24046242264.

46224264042 is a `hidden beast` number, since 4 + 6 + 2 + 2 + 4 + 2 + 640 + 4 + 2 = 666.

46224264042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46224263988 and 46224264006.

It is not an unprimeable number, because it can be changed into a prime (46224264049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487728 + ... + 574740.

It is an arithmetic number, because the mean of its divisors is an integer number (2277069366).

Almost surely, 246224264042 is an apocalyptic number.

46224264042 is an abundant number, since it is smaller than the sum of its proper divisors (63075065526).

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

46224264042 is a wasteful number, since it uses less digits than its factorization.

46224264042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89715 (or 89712 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 46224264042 in words is "forty-six billion, two hundred twenty-four million, two hundred sixty-four thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2683 5366 8049 16098 24147 29513 48294 59026 87013 88539 174026 177078 261039 265617 522078 531234 783117 957143 1566234 1914286 2871429 5742858 8614287 17228574 233455879 466911758 700367637 1400735274 2101102911 2568014669 4202205822 5136029338 7704044007 15408088014 23112132021 46224264042