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22762483968 = 283719239689
BaseRepresentation
bin10101001100101111…
…111111000100000000
32011202100121222211210
4111030233333010000
5333104143441333
614242411010120
71434034631010
oct251457770400
964670558753
1022762483968
119720913124
1244b3139940
1321b9acab33
14115d141c40
158d3544a63
hex54cbff100

22762483968 has 288 divisors, whose sum is σ = 76056422400. Its totient is φ = 5892784128.

The previous prime is 22762483957. The next prime is 22762483973. The reversal of 22762483968 is 86938426722.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2344468 + ... + 2354156.

It is an arithmetic number, because the mean of its divisors is an integer number (264084800).

Almost surely, 222762483968 is an apocalyptic number.

22762483968 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 22762483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38028211200).

22762483968 is an abundant number, since it is smaller than the sum of its proper divisors (53293938432).

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

22762483968 is a wasteful number, since it uses less digits than its factorization.

22762483968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9757 (or 9743 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 57.

The spelling of 22762483968 in words is "twenty-two billion, seven hundred sixty-two million, four hundred eighty-three thousand, nine hundred sixty-eight".