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445350561440364 = 223327793148368881
BaseRepresentation
bin110010101000010110100001…
…0000000111110001001101100
32011101212002122100111120122000
41211100231002000332021230
5431333110422212042424
64215103120140052300
7162543342035600046
oct14520550200761154
92141762570446560
10445350561440364
111199a2126738a78
1241b47b09b34090
13161664bab92908
147bd9121728a96
1536748cba233c9
hex1950b4203e26c

445350561440364 has 48 divisors (see below), whose sum is σ = 1154654117766240. Its totient is φ = 148444844866560.

The previous prime is 445350561440363. The next prime is 445350561440423. The reversal of 445350561440364 is 463044165053544.

445350561440364 is a `hidden beast` number, since 4 + 4 + 5 + 3 + 5 + 0 + 561 + 4 + 40 + 36 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 445350561440364.

It is not an unprimeable number, because it can be changed into a prime (445350561440363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71182797 + ... + 77186084.

It is an arithmetic number, because the mean of its divisors is an integer number (24055294120130).

Almost surely, 2445350561440364 is an apocalyptic number.

It is an amenable number.

445350561440364 is an abundant number, since it is smaller than the sum of its proper divisors (709303556325876).

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

445350561440364 is a wasteful number, since it uses less digits than its factorization.

445350561440364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148396687 (or 148396679 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 54.

The spelling of 445350561440364 in words is "four hundred forty-five trillion, three hundred fifty billion, five hundred sixty-one million, four hundred forty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 27793 55586 83379 111172 166758 250137 333516 500274 750411 1000548 1500822 3001644 148368881 296737762 445106643 593475524 890213286 1335319929 1780426572 2670639858 4005959787 5341279716 8011919574 16023839148 4123616309633 8247232619266 12370848928899 16494465238532 24741697857798 37112546786697 49483395715596 74225093573394 111337640360091 148450187146788 222675280720182 445350561440364