Search a number
-
+
148837423795200 = 2103552721931829
BaseRepresentation
bin100001110101110111101001…
…110001100100110000000000
3201111222201101222020110100000
4201311313221301210300000
5124002023020442421300
61244314545113200000
743231102053104100
oct4165675161446000
9644881358213300
10148837423795200
1143473662604438
1214839834100000
1365084026a252a
1428a7aac293200
151231909e9ac00
hex875de9c64c00

148837423795200 has 4752 divisors, whose sum is σ = 699381020083200. Its totient is φ = 31152173875200.

The previous prime is 148837423795199. The next prime is 148837423795241. The reversal of 148837423795200 is 2597324738841.

It is a happy number.

148837423795200 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 3 + 74 + 2 + 37 + 9 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 179538508386 + ... + 179538509214.

Almost surely, 2148837423795200 is an apocalyptic number.

148837423795200 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 148837423795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349690510041600).

148837423795200 is an abundant number, since it is smaller than the sum of its proper divisors (550543596288000).

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

148837423795200 is a wasteful number, since it uses less digits than its factorization.

148837423795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 148837423795200 in words is "one hundred forty-eight trillion, eight hundred thirty-seven billion, four hundred twenty-three million, seven hundred ninety-five thousand, two hundred".