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72233115040 = 2551741259309
BaseRepresentation
bin100001101000101101…
…1011101110110100000
320220110001100102211001
41003101123131312200
52140413134140130
653103342201344
75135001230062
oct1032133356640
9226401312731
1072233115040
11286a778a499
1211bba883254
136a71ca1ab8
1436d3433732
151d2b6be6ca
hex10d16ddda0

72233115040 has 48 divisors (see below), whose sum is σ = 170749411560. Its totient is φ = 28876538880.

The previous prime is 72233114983. The next prime is 72233115049. The reversal of 72233115040 is 4051133227.

It can be written as a sum of positive squares in 4 ways, for example, as 18466635664 + 53766479376 = 135892^2 + 231876^2 .

It is not an unprimeable number, because it can be changed into a prime (72233115049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148906 + ... + 408214.

Almost surely, 272233115040 is an apocalyptic number.

It is an amenable number.

72233115040 is an abundant number, since it is smaller than the sum of its proper divisors (98516296520).

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

72233115040 is a wasteful number, since it uses less digits than its factorization.

72233115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261065 (or 261057 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

Adding to 72233115040 its reverse (4051133227), we get a palindrome (76284248267).

The spelling of 72233115040 in words is "seventy-two billion, two hundred thirty-three million, one hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1741 3482 6964 8705 13928 17410 27856 34820 55712 69640 139280 259309 278560 518618 1037236 1296545 2074472 2593090 4148944 5186180 8297888 10372360 20744720 41489440 451456969 902913938 1805827876 2257284845 3611655752 4514569690 7223311504 9029139380 14446623008 18058278760 36116557520 72233115040