Search a number
-
+
148993735168 = 29893269701
BaseRepresentation
bin1000101011000010110…
…1111111101000000000
3112020120121222222000201
42022300231333220000
54420114344011133
6152240300454544
713523126565355
oct2126055775000
9466517888021
10148993735168
1158208096523
1224a6184a454
1311085c5a895
1472d5c9262c
153d205b1d7d
hex22b0b7fa00

148993735168 has 40 divisors (see below), whose sum is σ = 301041463140. Its totient is φ = 73659801600.

The previous prime is 148993735153. The next prime is 148993735193. The reversal of 148993735168 is 861537399841.

It can be written as a sum of positive squares in 2 ways, for example, as 148773746944 + 219988224 = 385712^2 + 14832^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1589283 + ... + 1680418.

Almost surely, 2148993735168 is an apocalyptic number.

It is an amenable number.

148993735168 is an abundant number, since it is smaller than the sum of its proper divisors (152047727972).

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

148993735168 is an frugal number, since it uses more digits than its factorization.

148993735168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269808 (or 3269792 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 64.

The spelling of 148993735168 in words is "one hundred forty-eight billion, nine hundred ninety-three million, seven hundred thirty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 512 712 1424 2848 5696 11392 22784 45568 3269701 6539402 13078804 26157608 52315216 104630432 209260864 291003389 418521728 582006778 837043456 1164013556 1674086912 2328027112 4656054224 9312108448 18624216896 37248433792 74496867584 148993735168