Search a number
-
+
148074907680 = 253557717997
BaseRepresentation
bin1000100111100111110…
…0111100100000100000
3112011012121001200200000
42021321330330200200
54411224134021210
6152005155100000
713461301643130
oct2117174744040
9464177050600
10148074907680
1157886474867
1224845ba1600
1310c6a7a168b
147249c34ac0
153cb9ab6ac0
hex2279f3c820

148074907680 has 1152 divisors, whose sum is σ = 621343457280. Its totient is φ = 32606945280.

The previous prime is 148074907639. The next prime is 148074907703. The reversal of 148074907680 is 86709470841.

It is a happy number.

148074907680 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 7 + 490 + 76 + 80 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 1526545392 + ... + 1526545488.

It is an arithmetic number, because the mean of its divisors is an integer number (539360640).

Almost surely, 2148074907680 is an apocalyptic number.

148074907680 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 148074907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310671728640).

148074907680 is an abundant number, since it is smaller than the sum of its proper divisors (473268549600).

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

148074907680 is an equidigital number, since it uses as much as digits as its factorization.

148074907680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 148074907680 in words is "one hundred forty-eight billion, seventy-four million, nine hundred seven thousand, six hundred eighty".