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21477141000 = 23325372311571
BaseRepresentation
bin10100000000001000…
…110010101000001000
32001102210000210202200
4110000020302220020
5322441122003000
613511053400200
71360136454300
oct240010625010
961383023680
1021477141000
119121316a07
1241b4799060
132043725373
14107a558600
1585a79c500
hex500232a08

21477141000 has 576 divisors, whose sum is σ = 87224117760. Its totient is φ = 4747680000.

The previous prime is 21477140983. The next prime is 21477141013. The reversal of 21477141000 is 14177412.

It is a super-2 number, since 2×214771410002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13670215 + ... + 13671785.

It is an arithmetic number, because the mean of its divisors is an integer number (151430760).

Almost surely, 221477141000 is an apocalyptic number.

21477141000 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 21477141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43612058880).

21477141000 is an abundant number, since it is smaller than the sum of its proper divisors (65746976760).

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

21477141000 is a wasteful number, since it uses less digits than its factorization.

21477141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 21477141000 in words is "twenty-one billion, four hundred seventy-seven million, one hundred forty-one thousand".