Search a number
-
+
148044478464 = 21133192943113
BaseRepresentation
bin1000100111100000100…
…0110111100000000000
3112011010110210201122000
42021320020313200000
54411143341302324
6152002150544000
713460452206201
oct2117010674000
9464113721560
10148044478464
1157870280953
1224837968000
1310c643a921c
147245b935a8
153cb70a59c9
hex2278237800

148044478464 has 768 divisors, whose sum is σ = 492972480000. Its totient is φ = 43698880512.

The previous prime is 148044478459. The next prime is 148044478469. The reversal of 148044478464 is 464874440841.

It is a happy number.

148044478464 is a `hidden beast` number, since 1 + 480 + 44 + 47 + 84 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (148044478459) and next prime (148044478469).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 148044478464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148044478469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1310128072 + ... + 1310128184.

It is an arithmetic number, because the mean of its divisors is an integer number (641891250).

Almost surely, 2148044478464 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 148044478464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246486240000).

148044478464 is an abundant number, since it is smaller than the sum of its proper divisors (344928001536).

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

148044478464 is a wasteful number, since it uses less digits than its factorization.

148044478464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 54.

The spelling of 148044478464 in words is "one hundred forty-eight billion, forty-four million, four hundred seventy-eight thousand, four hundred sixty-four".