Search a number
-
+
128681690060 = 2257211173122651
BaseRepresentation
bin111011111011000000…
…1101100001111001100
3110022011001022011100202
41313312001230033030
54102020003040220
6135040543113032
712203565214100
oct1676601541714
9408131264322
10128681690060
114a634506390
1220b332a2778
13c199a28791
14632a37d900
153532258275
hex1df606c3cc

128681690060 has 288 divisors, whose sum is σ = 374830073856. Its totient is φ = 36529920000.

The previous prime is 128681690003. The next prime is 128681690069. The reversal of 128681690060 is 60096186821.

It is a junction number, because it is equal to n+sod(n) for n = 128681689987 and 128681690014.

It is not an unprimeable number, because it can be changed into a prime (128681690069) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5669735 + ... + 5692385.

It is an arithmetic number, because the mean of its divisors is an integer number (1301493312).

Almost surely, 2128681690060 is an apocalyptic number.

128681690060 is a gapful number since it is divisible by the number (10) 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 128681690060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187415036928).

128681690060 is an abundant number, since it is smaller than the sum of its proper divisors (246148383796).

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

128681690060 is a wasteful number, since it uses less digits than its factorization.

128681690060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22733 (or 22724 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 47.

The spelling of 128681690060 in words is "one hundred twenty-eight billion, six hundred eighty-one million, six hundred ninety thousand, sixty".