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4432202445632 = 261319415767447
BaseRepresentation
bin100000001111111001111…
…0110100011001101000000
3120200201021210211210201112
41000133303312203031000
51040104122311230012
613232043052222452
7635134052116223
oct100376366431500
916621253753645
104432202445632
111459760807aa5
125b6ba776aa28
13261c54ba8720
1411473c2635ba
157a459a2e122
hex407f3da3340

4432202445632 has 112 divisors (see below), whose sum is σ = 9972758759040. Its totient is φ = 1937472141312.

The previous prime is 4432202445617. The next prime is 4432202445673. The reversal of 4432202445632 is 2365442022344.

It is a self number, because there is not a number n which added to its sum of digits gives 4432202445632.

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, 65680133 + ... + 65747579.

It is an arithmetic number, because the mean of its divisors is an integer number (89042488920).

Almost surely, 24432202445632 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 4432202445632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986379379520).

4432202445632 is an abundant number, since it is smaller than the sum of its proper divisors (5540556313408).

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

4432202445632 is a wasteful number, since it uses less digits than its factorization.

4432202445632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71648 (or 71638 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 41.

Adding to 4432202445632 its reverse (2365442022344), we get a palindrome (6797644467976).

The spelling of 4432202445632 in words is "four trillion, four hundred thirty-two billion, two hundred two million, four hundred forty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 416 494 608 832 988 1216 1976 3952 4157 7904 8314 15808 16628 33256 54041 66512 67447 78983 108082 133024 134894 157966 216164 266048 269788 315932 432328 539576 631864 864656 876811 1026779 1079152 1263728 1281493 1729312 1753622 2053558 2158304 2527456 2562986 3458624 3507244 4107116 4316608 5054912 5125972 7014488 8214232 10251944 14028976 16428464 16659409 20503888 28057952 32856928 33318818 41007776 56115904 65713856 66637636 82015552 133275272 266550544 280377179 533101088 560754358 1066202176 1121508716 2243017432 3644903327 4486034864 5327166401 7289806654 8972069728 10654332802 14579613308 17944139456 21308665604 29159226616 42617331208 58318453232 69253163213 85234662416 116636906464 138506326426 170469324832 233273812928 277012652852 340938649664 554025305704 1108050611408 2216101222816 4432202445632