Search a number
-
+
23796381766248 = 233371319131486397
BaseRepresentation
bin1010110100100100001101…
…11000011101001001101000
310010020220121202112012111000
411122102012320131021220
511104334442213004443
6122335523514435000
75004142344424410
oct532220670351150
9103226552465430
1023796381766248
117644a97155983
122803a94132a60
131037cb2297990
145c3a72b41640
152b3ee9e078d3
hex15a486e1d268

23796381766248 has 512 divisors, whose sum is σ = 86290896384000. Its totient is φ = 5900255861760.

The previous prime is 23796381766247. The next prime is 23796381766273. The reversal of 23796381766248 is 84266718369732.

23796381766248 is a `hidden beast` number, since 2 + 37 + 96 + 381 + 76 + 62 + 4 + 8 = 666.

It is a super-2 number, since 2×237963817662482 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is not an unprimeable number, because it can be changed into a prime (23796381766247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48680586 + ... + 49166982.

It is an arithmetic number, because the mean of its divisors is an integer number (168536907000).

Almost surely, 223796381766248 is an apocalyptic number.

23796381766248 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 23796381766248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43145448192000).

23796381766248 is an abundant number, since it is smaller than the sum of its proper divisors (62494514617752).

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

23796381766248 is a wasteful number, since it uses less digits than its factorization.

23796381766248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486582 (or 486572 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 23796381766248 in words is "twenty-three trillion, seven hundred ninety-six billion, three hundred eighty-one million, seven hundred sixty-six thousand, two hundred forty-eight".