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32401423032 = 233113725712907
BaseRepresentation
bin11110001011010001…
…100111101010111000
310002122002222211110220
4132023101213222320
51012324231014112
622515054540040
72224636360116
oct361321475270
9102562884426
1032401423032
1112817838770
126343207620
133094a5b684
1417d5358ab6
15c9988198c
hex78b467ab8

32401423032 has 128 divisors (see below), whose sum is σ = 91116023040. Its totient is φ = 9515335680.

The previous prime is 32401422997. The next prime is 32401423039. The reversal of 32401423032 is 23032410423.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 32401422993 and 32401423011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32401423039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2503923 + ... + 2516829.

It is an arithmetic number, because the mean of its divisors is an integer number (711843930).

Almost surely, 232401423032 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 32401423032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45558011520).

32401423032 is an abundant number, since it is smaller than the sum of its proper divisors (58714600008).

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

32401423032 is a wasteful number, since it uses less digits than its factorization.

32401423032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13221 (or 13217 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 32401423032 its reverse (23032410423), we get a palindrome (55433833455).

The spelling of 32401423032 in words is "thirty-two billion, four hundred one million, four hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 257 264 296 407 444 514 771 814 888 1028 1221 1542 1628 2056 2442 2827 3084 3256 4884 5654 6168 8481 9509 9768 11308 12907 16962 19018 22616 25814 28527 33924 38036 38721 51628 57054 67848 76072 77442 103256 104599 114108 141977 154884 209198 228216 283954 309768 313797 418396 425931 477559 567908 627594 836792 851862 955118 1135816 1255188 1432677 1703724 1910236 2510376 2865354 3317099 3407448 3820472 5253149 5730708 6634198 9951297 10506298 11461416 13268396 15759447 19902594 21012596 26536792 31518894 36488089 39805188 42025192 63037788 72976178 79610376 109464267 122732663 126075576 145952356 218928534 245465326 291904712 368197989 437857068 490930652 736395978 875714136 981861304 1350059293 1472791956 2700118586 2945583912 4050177879 5400237172 8100355758 10800474344 16200711516 32401423032