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445025213646 = 231383169740507
BaseRepresentation
bin1100111100111011001…
…00011101110011001110
31120112200120110012200020
412132131210131303032
524242402423314041
6540235230443010
744103065621316
oct6363544356316
91515616405606
10445025213646
11161809149872
12722ba063466
1332c728399b0
1417779d16446
15b899667866
hex679d91dcce

445025213646 has 64 divisors (see below), whose sum is σ = 970659825408. Its totient is φ = 135198010368.

The previous prime is 445025213641. The next prime is 445025213671. The reversal of 445025213646 is 646312520544.

It is a happy number.

It is a super-2 number, since 2×4450252136462 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 445025213598 and 445025213607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445025213641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10966125 + ... + 11006631.

It is an arithmetic number, because the mean of its divisors is an integer number (15166559772).

Almost surely, 2445025213646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445025213646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485329912704).

445025213646 is an abundant number, since it is smaller than the sum of its proper divisors (525634611762).

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

445025213646 is a wasteful number, since it uses less digits than its factorization.

445025213646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42305.

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 445025213646 in words is "four hundred forty-five billion, twenty-five million, two hundred thirteen thousand, six hundred forty-six".

Divisors: 1 2 3 6 13 26 39 78 83 166 249 498 1079 1697 2158 3237 3394 5091 6474 10182 22061 40507 44122 66183 81014 121521 132366 140851 243042 281702 422553 526591 845106 1053182 1579773 1831063 3159546 3362081 3662126 5493189 6724162 10086243 10986378 20172486 43707053 68740379 87414106 131121159 137480758 206221137 262242318 412442274 893624927 1787249854 2680874781 5361749562 5705451457 11410902914 17116354371 34232708742 74170868941 148341737882 222512606823 445025213646