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921343000032 = 253372132131983
BaseRepresentation
bin11010110100001000101…
…00100111110111100000
310021002010222101211012000
431122010110213313200
5110043402302000112
61543131550004000
7123364511166300
oct15320424476740
93232128354160
10921343000032
113258151166a4
1212a68baa6600
1368b61475c00
1432843bc3600
1518e7612d7dc
hexd684527de0

921343000032 has 864 divisors, whose sum is σ = 3414251554560. Its totient is φ = 240891356160.

The previous prime is 921342999959. The next prime is 921343000069. The reversal of 921343000032 is 230000343129.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 937276213 + ... + 937277195.

It is an arithmetic number, because the mean of its divisors is an integer number (3951680040).

Almost surely, 2921343000032 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 921343000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707125777280).

921343000032 is an abundant number, since it is smaller than the sum of its proper divisors (2492908554528).

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

921343000032 is a wasteful number, since it uses less digits than its factorization.

921343000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 921343000032 in words is "nine hundred twenty-one billion, three hundred forty-three million, thirty-two", and thus it is an aban number.