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616411136 = 2121113681
BaseRepresentation
bin100100101111011…
…011000000000000
31120221212221010002
4210233123000000
52230300124021
6141055455132
721163260005
oct4457330000
91527787102
10616411136
11296a478a0
121525274a8
139a923623
145bc198ac
15391b050b
hex24bdb000

616411136 has 52 divisors (see below), whose sum is σ = 1344831144. Its totient is φ = 280166400.

The previous prime is 616411127. The next prime is 616411141. The reversal of 616411136 is 631114616.

It is a junction number, because it is equal to n+sod(n) for n = 616411099 and 616411108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38216 + ... + 51896.

Almost surely, 2616411136 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 616411136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672415572).

616411136 is an abundant number, since it is smaller than the sum of its proper divisors (728420008).

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

616411136 is a wasteful number, since it uses less digits than its factorization.

616411136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13716 (or 13694 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 616411136 is about 24827.6284811901. The cubic root of 616411136 is about 851.0534279444.

The spelling of 616411136 in words is "six hundred sixteen million, four hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 11264 13681 22528 27362 45056 54724 109448 150491 218896 300982 437792 601964 875584 1203928 1751168 2407856 3502336 4815712 7004672 9631424 14009344 19262848 28018688 38525696 56037376 77051392 154102784 308205568 616411136