Search a number
-
+
189878677632 = 2733729893041
BaseRepresentation
bin1011000011010110100…
…1101011000010000000
3200011002222020020101000
42300311221223002000
511102332420141012
6223121251012000
716501241062350
oct2606551530200
9604088206330
10189878677632
1173588621976
1230971b9a000
1314ba0463c27
149293bbab60
154e14aedddc
hex2c35a6b080

189878677632 has 512 divisors, whose sum is σ = 670213440000. Its totient is φ = 51774750720.

The previous prime is 189878677601. The next prime is 189878677633. The reversal of 189878677632 is 236776878981.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (189878677633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62438032 + ... + 62441072.

It is an arithmetic number, because the mean of its divisors is an integer number (1309010625).

Almost surely, 2189878677632 is an apocalyptic number.

189878677632 is a gapful number since it is divisible by the number (12) 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 189878677632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335106720000).

189878677632 is an abundant number, since it is smaller than the sum of its proper divisors (480334762368).

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

189878677632 is a wasteful number, since it uses less digits than its factorization.

189878677632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3171 counting only the distinct ones).

The product of its digits is 341397504, while the sum is 72.

The spelling of 189878677632 in words is "one hundred eighty-nine billion, eight hundred seventy-eight million, six hundred seventy-seven thousand, six hundred thirty-two".