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10032441033432 = 2335910733660119
BaseRepresentation
bin1001000111111101110000…
…0101011000001011011000
31022112002111001202111120010
42101333130011120023120
52303332414401032212
633200501221001520
72053551145520556
oct221773405301330
938462431674503
1010032441033432
113218809466654
1211604302532a0
1357a0941752ac
14269803838bd6
15125e77eeb03c
hex91fdc1582d8

10032441033432 has 64 divisors (see below), whose sum is σ = 25508621088000. Its totient is φ = 3287155278464.

The previous prime is 10032441033431. The next prime is 10032441033449. The reversal of 10032441033432 is 23433014423001.

It is a happy number.

It is a super-2 number, since 2×100324410334322 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10032441033432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032441033431) 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, 14867869 + ... + 15527987.

It is an arithmetic number, because the mean of its divisors is an integer number (398572204500).

Almost surely, 210032441033432 is an apocalyptic number.

10032441033432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10032441033432 is an abundant number, since it is smaller than the sum of its proper divisors (15476180054568).

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

10032441033432 is a wasteful number, since it uses less digits than its factorization.

10032441033432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670920 (or 670916 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 10032441033432 its reverse (23433014423001), we get a palindrome (33465455456433).

The spelling of 10032441033432 in words is "ten trillion, thirty-two billion, four hundred forty-one million, thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1416 10733 21466 32199 42932 64398 85864 128796 257592 633247 660119 1266494 1320238 1899741 1980357 2532988 2640476 3799482 3960714 5065976 5280952 7598964 7921428 15197928 15842856 38947021 77894042 116841063 155788084 233682126 311576168 467364252 934728504 7085057227 14170114454 21255171681 28340228908 42510343362 56680457816 85020686724 170041373448 418018376393 836036752786 1254055129179 1672073505572 2508110258358 3344147011144 5016220516716 10032441033432