Search a number
-
+
10622004939000 = 23325372136612803
BaseRepresentation
bin1001101010010010000011…
…0101001100100011111000
31101121110020210021000211100
42122210200311030203320
52343012331231022000
634331403125331400
72144262120161400
oct232444065144370
941543223230740
1010622004939000
113425848966a14
121236747b66b60
135c085c976aa0
1428a171a7b800
15136481a67a00
hex9a920d4c8f8

10622004939000 has 1152 divisors, whose sum is σ = 45060717199680. Its totient is φ = 2236937472000.

The previous prime is 10622004938957. The next prime is 10622004939011. The reversal of 10622004939000 is 93940022601.

10622004939000 is a `hidden beast` number, since 1 + 0 + 6 + 220 + 0 + 49 + 390 + 0 + 0 = 666.

It is a super-2 number, since 2×106220049390002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3789511599 + ... + 3789514401.

Almost surely, 210622004939000 is an apocalyptic number.

10622004939000 is a gapful number since it is divisible by the number (10) 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 10622004939000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22530358599840).

10622004939000 is an abundant number, since it is smaller than the sum of its proper divisors (34438712260680).

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

10622004939000 is a wasteful number, since it uses less digits than its factorization.

10622004939000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10622004939000 in words is "ten trillion, six hundred twenty-two billion, four million, nine hundred thirty-nine thousand".