Search a number
-
+
148677799536 = 24337195961719
BaseRepresentation
bin1000101001110111100…
…0110010111001110000
3112012202121111202211000
42022131320302321300
54413443004041121
6152145053122000
713512242305260
oct2123570627160
9465677452730
10148677799536
11580658183a2
1224993a89300
1311035670616
1472a5d317a0
153d029a6526
hex229de32e70

148677799536 has 640 divisors, whose sum is σ = 531394560000. Its totient is φ = 38858849280.

The previous prime is 148677799511. The next prime is 148677799547. The reversal of 148677799536 is 635997776841.

It is a happy number.

148677799536 is a `hidden beast` number, since 1 + 4 + 86 + 7 + 7 + 7 + 9 + 9 + 536 = 666.

148677799536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

Its product of digits (480090240) is a multiple of the sum of its prime factors (882).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 206783785 + ... + 206784503.

It is an arithmetic number, because the mean of its divisors is an integer number (830304000).

Almost surely, 2148677799536 is an apocalyptic number.

148677799536 is a gapful number since it is divisible by the number (16) 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 148677799536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265697280000).

148677799536 is an abundant number, since it is smaller than the sum of its proper divisors (382716760464).

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

148677799536 is a wasteful number, since it uses less digits than its factorization.

148677799536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 870 counting only the distinct ones).

The product of its digits is 480090240, while the sum is 72.

The spelling of 148677799536 in words is "one hundred forty-eight billion, six hundred seventy-seven million, seven hundred ninety-nine thousand, five hundred thirty-six".