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36225040416 = 2532111788361
BaseRepresentation
bin100001101111001011…
…100100000000100000
310110111120210201110120
4201233023210000200
51043142102243131
624350324200240
72421455522505
oct415713440040
9113446721416
1036225040416
11143aa100034
12702b839080
133553c74876
141a790b74ac
15e203b5496
hex86f2e4020

36225040416 has 48 divisors (see below), whose sum is σ = 95541451488. Its totient is φ = 12017779200.

The previous prime is 36225040399. The next prime is 36225040417. The reversal of 36225040416 is 61404052263.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (36225040417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 873925 + ... + 914436.

It is an arithmetic number, because the mean of its divisors is an integer number (1990446906).

Almost surely, 236225040416 is an apocalyptic number.

It is an amenable number.

36225040416 is an abundant number, since it is smaller than the sum of its proper divisors (59316411072).

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

36225040416 is a wasteful number, since it uses less digits than its factorization.

36225040416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788585 (or 1788577 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 36225040416 its reverse (61404052263), we get a palindrome (97629092679).

The spelling of 36225040416 in words is "thirty-six billion, two hundred twenty-five million, forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211 422 633 844 1266 1688 2532 3376 5064 6752 10128 20256 1788361 3576722 5365083 7153444 10730166 14306888 21460332 28613776 42920664 57227552 85841328 171682656 377344171 754688342 1132032513 1509376684 2264065026 3018753368 4528130052 6037506736 9056260104 12075013472 18112520208 36225040416