Search a number
-
+
21499119360000 = 211335417233743
BaseRepresentation
bin1001110001101101001110…
…10111110101100000000000
32211010021222121000111102000
410320312213113311200000
510304220144024010000
6113420320432424000
74346155135233612
oct470664727654000
984107877014360
1021499119360000
1169397a8441577
1224b280b6a8000
13bcc487121989
145447c496adb2
15274394c7a000
hex138da75f5800

21499119360000 has 3840 divisors, whose sum is σ = 92402761651200. Its totient is φ = 4904976384000.

The previous prime is 21499119359999. The next prime is 21499119360029. The reversal of 21499119360000 is 6391199412.

21499119360000 is a `hidden beast` number, since 2 + 1 + 499 + 11 + 93 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 499979519979 + ... + 499979520021.

It is an arithmetic number, because the mean of its divisors is an integer number (24063219180).

Almost surely, 221499119360000 is an apocalyptic number.

21499119360000 is a gapful number since it is divisible by the number (20) 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 21499119360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46201380825600).

21499119360000 is an abundant number, since it is smaller than the sum of its proper divisors (70903642291200).

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

21499119360000 is a wasteful number, since it uses less digits than its factorization.

21499119360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 21499119360000 in words is "twenty-one trillion, four hundred ninety-nine billion, one hundred nineteen million, three hundred sixty thousand".