Search a number
-
+
22973787648 = 29387977
BaseRepresentation
bin10101011001010110…
…000010111000000000
32012022002020100000000
4111121112002320000
5334022242201043
614315400000000
71442211654510
oct253126027000
965262210000
1022973787648
11981a116769
124551a60000
1322218121b6
14117d227840
158e6d832d3
hex559582e00

22973787648 has 360 divisors, whose sum is σ = 78766891632. Its totient is φ = 6557220864.

The previous prime is 22973787647. The next prime is 22973787649. The reversal of 22973787648 is 84678737922.

It is an interprime number because it is at equal distance from previous prime (22973787647) and next prime (22973787649).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22973787643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23514136 + ... + 23515112.

Almost surely, 222973787648 is an apocalyptic number.

22973787648 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 22973787648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39383445816).

22973787648 is an abundant number, since it is smaller than the sum of its proper divisors (55793103984).

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

22973787648 is an frugal number, since it uses more digits than its factorization.

22973787648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 989 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 63.

The spelling of 22973787648 in words is "twenty-two billion, nine hundred seventy-three million, seven hundred eighty-seven thousand, six hundred forty-eight".