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5721629261040 = 243257112171931937
BaseRepresentation
bin101001101000010101110…
…1011011111110011110000
3202020222112011212211101100
41103100223223133303300
51222220344042323130
620100251420004400
71130242210162560
oct123205353376360
922228464784340
105721629261040
111906590612100
12784a82090700
13326716618404
1415acdd4c2da0
159dc755c3c60
hex5342badfcf0

5721629261040 has 2880 divisors, whose sum is σ = 27800540651520. Its totient is φ = 1024789708800.

The previous prime is 5721629261011. The next prime is 5721629261041. The reversal of 5721629261040 is 401629261275.

5721629261040 is a `hidden beast` number, since 5 + 7 + 2 + 1 + 6 + 29 + 2 + 610 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5721629261041) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6106327452 + ... + 6106328388.

It is an arithmetic number, because the mean of its divisors is an integer number (9652965504).

Almost surely, 25721629261040 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 5721629261040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13900270325760).

5721629261040 is an abundant number, since it is smaller than the sum of its proper divisors (22078911390480).

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

5721629261040 is a wasteful number, since it uses less digits than its factorization.

5721629261040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 5721629261040 in words is "five trillion, seven hundred twenty-one billion, six hundred twenty-nine million, two hundred sixty-one thousand, forty".