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21341166000 = 2435372116599
BaseRepresentation
bin10011111000000010…
…000101100110110000
32001002022011120010120
4103320002011212300
5322201314303000
613445355130240
71353565626600
oct237002054660
961068146116
1021341166000
119061593980
124177143980
1320214c709b
141066480c00
1584d88d6a0
hex4f80859b0

21341166000 has 480 divisors, whose sum is σ = 87326553600. Its totient is φ = 4433856000.

The previous prime is 21341165983. The next prime is 21341166001. The reversal of 21341166000 is 66114312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21341166001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3230701 + ... + 3237299.

It is an arithmetic number, because the mean of its divisors is an integer number (181930320).

Almost surely, 221341166000 is an apocalyptic number.

21341166000 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 21341166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43663276800).

21341166000 is an abundant number, since it is smaller than the sum of its proper divisors (65985387600).

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

21341166000 is a wasteful number, since it uses less digits than its factorization.

21341166000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6650 (or 6627 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 21341166000 in words is "twenty-one billion, three hundred forty-one million, one hundred sixty-six thousand".