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32253988864 = 21215595051
BaseRepresentation
bin11110000010011111…
…001101000000000000
310002020211120101211011
4132002133031000000
51012024010120424
622452310530304
72221166244646
oct360237150000
9102224511734
1032253988864
1112751599249
126301966994
13307034a616
1417bd93b196
15c8b95c694
hex7827cd000

32253988864 has 52 divisors (see below), whose sum is σ = 64554253920. Its totient is φ = 16113459200.

The previous prime is 32253988829. The next prime is 32253988891. The reversal of 32253988864 is 46888935223.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32253988799 and 32253988808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6383139 + ... + 6388189.

It is an arithmetic number, because the mean of its divisors is an integer number (1241427960).

Almost surely, 232253988864 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 32253988864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32277126960).

32253988864 is an abundant number, since it is smaller than the sum of its proper divisors (32300265056).

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

32253988864 is an equidigital number, since it uses as much as digits as its factorization.

32253988864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6634 (or 6612 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 58.

The spelling of 32253988864 in words is "thirty-two billion, two hundred fifty-three million, nine hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1559 2048 3118 4096 5051 6236 10102 12472 20204 24944 40408 49888 80816 99776 161632 199552 323264 399104 646528 798208 1293056 1596416 2586112 3192832 5172224 6385664 7874509 10344448 15749018 20688896 31498036 62996072 125992144 251984288 503968576 1007937152 2015874304 4031748608 8063497216 16126994432 32253988864