Search a number
-
+
128150517708928 = 27111317974245743
BaseRepresentation
bin11101001000110101011110…
…000101011111100010000000
3121210202001212220210021211001
4131020311132011133202000
5113244104230013141203
61132315311325501344
735664366202466221
oct3510653605374200
9553661786707731
10128150517708928
1137918369407a10
1212458519111854
135667707915a10
142390737b45248
15ec375086091d
hex748d5e15f880

128150517708928 has 256 divisors, whose sum is σ = 320849855101440. Its totient is φ = 50084810588160.

The previous prime is 128150517708833. The next prime is 128150517708977. The reversal of 128150517708928 is 829807715051821.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 128150517708928.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28060425 + ... + 32306167.

It is an arithmetic number, because the mean of its divisors is an integer number (1253319746490).

Almost surely, 2128150517708928 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 128150517708928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160424927550720).

128150517708928 is an abundant number, since it is smaller than the sum of its proper divisors (192699337392512).

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

128150517708928 is a wasteful number, since it uses less digits than its factorization.

128150517708928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245895 (or 4245883 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 64.

The spelling of 128150517708928 in words is "one hundred twenty-eight trillion, one hundred fifty billion, five hundred seventeen million, seven hundred eight thousand, nine hundred twenty-eight".