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328728136086 = 232753179275003
BaseRepresentation
bin1001100100010011011…
…10010100100110010110
31011102111121222112211100
410302021232110212112
520341213400323321
6411003212450530
732515122024210
oct4621156244626
91142447875740
10328728136086
1111745a510129
1253862479a46
1324cca85a4bc
1411ca66b15b0
15883e804326
hex4c89b94996

328728136086 has 96 divisors (see below), whose sum is σ = 833988130560. Its totient is φ = 91635066432.

The previous prime is 328728136081. The next prime is 328728136117. The reversal of 328728136086 is 680631827823.

328728136086 is a `hidden beast` number, since 3 + 2 + 8 + 7 + 28 + 1 + 3 + 608 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328728136081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1057861 + ... + 1332863.

It is an arithmetic number, because the mean of its divisors is an integer number (8687376360).

Almost surely, 2328728136086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328728136086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416994065280).

328728136086 is an abundant number, since it is smaller than the sum of its proper divisors (505259994474).

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

328728136086 is a wasteful number, since it uses less digits than its factorization.

328728136086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275250 (or 275247 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 328728136086 in words is "three hundred twenty-eight billion, seven hundred twenty-eight million, one hundred thirty-six thousand, eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 179 318 358 371 477 537 742 954 1074 1113 1253 1611 2226 2506 3222 3339 3759 6678 7518 9487 11277 18974 22554 28461 56922 66409 85383 132818 170766 199227 275003 398454 550006 597681 825009 1195362 1650018 1925021 2475027 3850042 4950054 5775063 11550126 14575159 17325189 29150318 34650378 43725477 49225537 87450954 98451074 102026113 131176431 147676611 204052226 262352862 295353222 306078339 344578759 443029833 612156678 689157518 886059666 918235017 1033736277 1836470034 2067472554 2608953461 3101208831 5217906922 6202417662 7826860383 15653720766 18262674227 23480581149 36525348454 46961162298 54788022681 109576045362 164364068043 328728136086