Search a number
-
+
32296968000 = 2634531123197
BaseRepresentation
bin11110000101000011…
…001001111101000000
310002100211102222010000
4132011003021331000
51012121010434000
622500444040000
72222230461363
oct360503117500
9102324388100
1032296968000
11127738840a0
126314233000
13307921816b
1417c55280da
15c905ec000
hex7850c9f40

32296968000 has 1120 divisors, whose sum is σ = 136700898048. Its totient is φ = 7451136000.

The previous prime is 32296967993. The next prime is 32296968013. The reversal of 32296968000 is 86969223.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 163943902 + ... + 163944098.

Almost surely, 232296968000 is an apocalyptic number.

32296968000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32296968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68350449024).

32296968000 is an abundant number, since it is smaller than the sum of its proper divisors (104403930048).

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

32296968000 is a wasteful number, since it uses less digits than its factorization.

32296968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 32296968000 in words is "thirty-two billion, two hundred ninety-six million, nine hundred sixty-eight thousand".