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36428037660 = 2235572198397
BaseRepresentation
bin100001111011010001…
…111011111000011100
310111000201210001100000
4201323101323320130
51044101034201120
624422415134300
72426502132300
oct417321737034
9114021701300
1036428037660
11144a374a953
127087814390
13358703b191
141a98039d00
15e33112990
hex87b47be1c

36428037660 has 864 divisors, whose sum is σ = 143469930240. Its totient is φ = 7712796672.

The previous prime is 36428037647. The next prime is 36428037661. The reversal of 36428037660 is 6673082463.

36428037660 is a `hidden beast` number, since 364 + 280 + 3 + 7 + 6 + 6 + 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 (36428037661) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 375546732 + ... + 375546828.

It is an arithmetic number, because the mean of its divisors is an integer number (166053160).

Almost surely, 236428037660 is an apocalyptic number.

36428037660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36428037660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71734965120).

36428037660 is an abundant number, since it is smaller than the sum of its proper divisors (107041892580).

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

36428037660 is a wasteful number, since it uses less digits than its factorization.

36428037660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 36428037660 in words is "thirty-six billion, four hundred twenty-eight million, thirty-seven thousand, six hundred sixty".