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23248319490 = 23451131731153
BaseRepresentation
bin10101101001101101…
…010011010000000010
32020000012210222220000
4111221231103100002
5340103032210430
614402524100430
71452054312054
oct255155232002
966005728800
1023248319490
119950085590
124609994716
132266663986
1411a788b8d4
15911010e60
hex569b53402

23248319490 has 320 divisors, whose sum is σ = 71421115392. Its totient is φ = 5374771200.

The previous prime is 23248319441. The next prime is 23248319491. The reversal of 23248319490 is 9491384232.

23248319490 is a `hidden beast` number, since 2 + 3 + 248 + 319 + 4 + 90 = 666.

It is a super-2 number, since 2×232483194902 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23248319491) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20162754 + ... + 20163906.

Almost surely, 223248319490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23248319490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35710557696).

23248319490 is an abundant number, since it is smaller than the sum of its proper divisors (48172795902).

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

23248319490 is a wasteful number, since it uses less digits than its factorization.

23248319490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 23248319490 in words is "twenty-three billion, two hundred forty-eight million, three hundred nineteen thousand, four hundred ninety".