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2159383968 = 253373071163
BaseRepresentation
bin1000000010110101…
…1001010110100000
312120111021001221000
42000231121112200
513410300241333
6554135032000
7104340314040
oct20055312640
95514231830
102159383968
11a08a09155
1250320b600
132854b05c1
14166b07720
15c9897713
hex80b595a0

2159383968 has 192 divisors, whose sum is σ = 7227601920. Its totient is φ = 614428416.

The previous prime is 2159383927. The next prime is 2159383997. The reversal of 2159383968 is 8693839512.

2159383968 is a `hidden beast` number, since 215 + 9 + 38 + 396 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1856155 + ... + 1857317.

It is an arithmetic number, because the mean of its divisors is an integer number (37643760).

Almost surely, 22159383968 is an apocalyptic number.

2159383968 is a gapful number since it is divisible by the number (28) 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 2159383968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613800960).

2159383968 is an abundant number, since it is smaller than the sum of its proper divisors (5068217952).

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

2159383968 is a wasteful number, since it uses less digits than its factorization.

2159383968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1482 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 2159383968 is about 46469.1722327825. The cubic root of 2159383968 is about 1292.5379133799.

The spelling of 2159383968 in words is "two billion, one hundred fifty-nine million, three hundred eighty-three thousand, nine hundred sixty-eight".