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445256054928664 = 23797393120851967
BaseRepresentation
bin110010100111101010100000…
…0111111001111010100011000
32011101112001201000211100121221
41211033111000333033110120
5431330033400030204124
64214551450253341424
7162533455055522320
oct14517250077172430
92141461630740557
10445256054928664
1111996603a229a51
1241b31733a97874
131615a609526c85
147bd4718108280
1536721e9c1dce4
hex194f540fcf518

445256054928664 has 64 divisors (see below), whose sum is σ = 964201672949760. Its totient is φ = 188808713579520.

The previous prime is 445256054928631. The next prime is 445256054928701. The reversal of 445256054928664 is 466829450652544.

It is a super-2 number, since 2×4452560549286642 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 445256054928593 and 445256054928602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10927209 + ... + 31779175.

It is an arithmetic number, because the mean of its divisors is an integer number (15065651139840).

Almost surely, 2445256054928664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445256054928664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482100836474880).

445256054928664 is an abundant number, since it is smaller than the sum of its proper divisors (518945618021096).

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

445256054928664 is a wasteful number, since it uses less digits than its factorization.

445256054928664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20856008 (or 20856004 counting only the distinct ones).

The product of its (nonzero) digits is 1990656000, while the sum is 70.

The spelling of 445256054928664 in words is "four hundred forty-five trillion, two hundred fifty-six billion, fifty-four million, nine hundred twenty-eight thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 97 194 388 679 776 1358 2716 3931 5432 7862 15724 27517 31448 55034 110068 220136 381307 762614 1525228 2669149 3050456 5338298 10676596 20851967 21353192 41703934 83407868 145963769 166815736 291927538 583855076 1167710152 2022640799 4045281598 8090563196 14158485593 16181126392 28316971186 56633942372 81969082277 113267884744 163938164554 327876329108 573783575939 655752658216 1147567151878 2295134303756 4590268607512 7951000980869 15902001961738 31804003923476 55657006866083 63608007846952 111314013732166 222628027464332 445256054928664