Search a number
-
+
23064549274368 = 2832723147281499
BaseRepresentation
bin1010011111010001000100…
…10001000011001100000000
310000122221122002120200002100
411033220202101003030000
511010342144103234433
6121015412504350400
74600234014040200
oct517504221031400
9100587562520070
1023064549274368
117392690856a58
122706092a75400
13cb3c92c0a634
1459a489c9c400
1529ee66400b13
hex14fa22443300

23064549274368 has 1296 divisors, whose sum is σ = 82006718976000. Its totient is φ = 6206931763200.

The previous prime is 23064549274363. The next prime is 23064549274373. The reversal of 23064549274368 is 86347294546032.

It is a happy number.

23064549274368 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 4 + 549 + 27 + 4 + 3 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (23064549274363) and next prime (23064549274373).

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

It is not an unprimeable number, because it can be changed into a prime (23064549274363) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46221541383 + ... + 46221541881.

Almost surely, 223064549274368 is an apocalyptic number.

23064549274368 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 23064549274368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41003359488000).

23064549274368 is an abundant number, since it is smaller than the sum of its proper divisors (58942169701632).

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

23064549274368 is a wasteful number, since it uses less digits than its factorization.

23064549274368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 23064549274368 in words is "twenty-three trillion, sixty-four billion, five hundred forty-nine million, two hundred seventy-four thousand, three hundred sixty-eight".