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20332397952 = 273319243379
BaseRepresentation
bin10010111011111001…
…111100010110000000
31221110222222211112000
4102323321330112000
5313120043213302
613201321504000
71316566350066
oct227371742600
957428884460
1020332397952
118694121579
123b35342000
131bc050a009
14dac4d0036
157e002931c
hex4bbe7c580

20332397952 has 384 divisors, whose sum is σ = 64977264000. Its totient is φ = 6254889984.

The previous prime is 20332397951. The next prime is 20332397963. The reversal of 20332397952 is 25979323302.

20332397952 is a `hidden beast` number, since 203 + 3 + 2 + 397 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 20332397898 and 20332397907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20332397951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53647299 + ... + 53647677.

It is an arithmetic number, because the mean of its divisors is an integer number (169211625).

Almost surely, 220332397952 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 20332397952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32488632000).

20332397952 is an abundant number, since it is smaller than the sum of its proper divisors (44644866048).

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

20332397952 is a wasteful number, since it uses less digits than its factorization.

20332397952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 20332397952 in words is "twenty billion, three hundred thirty-two million, three hundred ninety-seven thousand, nine hundred fifty-two".