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445046869664 = 25196717596211
BaseRepresentation
bin1100111100111101101…
…11000100111010100000
31120112202002012110010222
412132132313010322200
524242423444312124
6540241322542212
744103450655355
oct6363667047240
91515662173128
10445046869664
1116181a3a0301
1272305367968
1332c7717cac7
141777cb5262c
15b89b4e425e
hex679edc4ea0

445046869664 has 96 divisors (see below), whose sum is σ = 936749721600. Its totient is φ = 207513757440.

The previous prime is 445046869639. The next prime is 445046869667. The reversal of 445046869664 is 466968640544.

It is a junction number, because it is equal to n+sod(n) for n = 445046869597 and 445046869606.

It is not an unprimeable number, because it can be changed into a prime (445046869667) 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, 71651519 + ... + 71657729.

It is an arithmetic number, because the mean of its divisors is an integer number (9757809600).

Almost surely, 2445046869664 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 445046869664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468374860800).

445046869664 is an abundant number, since it is smaller than the sum of its proper divisors (491702851936).

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

445046869664 is a wasteful number, since it uses less digits than its factorization.

445046869664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8066 (or 8058 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 62.

The spelling of 445046869664 in words is "four hundred forty-five billion, forty-six million, eight hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 67 76 134 152 268 304 536 608 1072 1273 1759 2144 2546 3518 5092 6211 7036 10184 12422 14072 20368 24844 28144 33421 40736 49688 56288 66842 99376 117853 118009 133684 198752 235706 236018 267368 416137 471412 472036 534736 832274 942824 944072 1069472 1664548 1885648 1888144 2239207 3329096 3771296 3776288 4478414 6658192 7906603 8956828 10925149 13316384 15813206 17913656 21850298 31626412 35827312 43700596 63252824 71654624 87401192 126505648 174802384 207577831 253011296 349604768 415155662 731984983 830311324 1463969966 1660622648 2927939932 3321245296 5855879864 6642490592 11711759728 13907714677 23423519456 27815429354 55630858708 111261717416 222523434832 445046869664