Search a number
-
+
23335468386048 = 28327132173131609
BaseRepresentation
bin1010100111001001101100…
…10011011100011100000000
310001121211220220200111122200
411103210312103130130000
511024312014401323143
6121344055521233200
74625634442351560
oct523446623343400
9101554826614580
1023335468386048
117487575605455
12274a6a1192800
1310036a9bcc800
145a962aa88da0
152a70209da1d3
hex1539364dc700

23335468386048 has 1296 divisors, whose sum is σ = 88497980101440. Its totient is φ = 5770290659328.

The previous prime is 23335468386047. The next prime is 23335468386091. The reversal of 23335468386048 is 84068386453332.

23335468386048 is a `hidden beast` number, since 2 + 3 + 3 + 3 + 546 + 8 + 3 + 86 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×233354683860482 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23335468386047) 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, 14503087068 + ... + 14503088676.

Almost surely, 223335468386048 is an apocalyptic number.

23335468386048 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 23335468386048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44248990050720).

23335468386048 is an abundant number, since it is smaller than the sum of its proper divisors (65162511715392).

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

23335468386048 is a wasteful number, since it uses less digits than its factorization.

23335468386048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 63.

The spelling of 23335468386048 in words is "twenty-three trillion, three hundred thirty-five billion, four hundred sixty-eight million, three hundred eighty-six thousand, forty-eight".