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21090201552 = 2433719593619
BaseRepresentation
bin10011101001000100…
…101110111111010000
32000102210221020122000
4103221010232333100
5321143042422202
613404432114000
71344430520040
oct235104567720
960383836560
1021090201552
118a42961642
124107095900
131cb1507704
141040dd3720
1583681891c
hex4e912efd0

21090201552 has 320 divisors, whose sum is σ = 73066752000. Its totient is φ = 5689792512.

The previous prime is 21090201523. The next prime is 21090201557. The reversal of 21090201552 is 25510209012.

21090201552 is a `hidden beast` number, since 2 + 1 + 0 + 90 + 20 + 1 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21090201557) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34071099 + ... + 34071717.

It is an arithmetic number, because the mean of its divisors is an integer number (228333600).

Almost surely, 221090201552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21090201552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36533376000).

21090201552 is an abundant number, since it is smaller than the sum of its proper divisors (51976550448).

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

21090201552 is a wasteful number, since it uses less digits than its factorization.

21090201552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 21090201552 in words is "twenty-one billion, ninety million, two hundred one thousand, five hundred fifty-two".