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23048489198592 = 21033111322925457
BaseRepresentation
bin1010011110110011001010…
…00000101110010000000000
310000121102011211201021211000
411033121211000232100000
511010111301213323332
6121004155121252000
74566125022455634
oct517314500562000
9100542154637730
1023048489198592
11738689a309360
122702b50494000
13cb260387bb10
145997a4d6cdc4
1529e8264deb7c
hex14f66502e400

23048489198592 has 704 divisors, whose sum is σ = 80545120185600. Its totient is φ = 6418724290560.

The previous prime is 23048489198563. The next prime is 23048489198599. The reversal of 23048489198592 is 29589198484032.

23048489198592 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 8 + 489 + 1 + 98 + 59 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×230484891985922 (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 self number, because there is not a number n which added to its sum of digits gives 23048489198592.

It is not an unprimeable number, because it can be changed into a prime (23048489198599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 905376328 + ... + 905401784.

Almost surely, 223048489198592 is an apocalyptic number.

23048489198592 is a gapful number since it is divisible by the number (22) 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 23048489198592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40272560092800).

23048489198592 is an abundant number, since it is smaller than the sum of its proper divisors (57496630987008).

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

23048489198592 is a wasteful number, since it uses less digits than its factorization.

23048489198592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25739 (or 25715 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 23048489198592 in words is "twenty-three trillion, forty-eight billion, four hundred eighty-nine million, one hundred ninety-eight thousand, five hundred ninety-two".