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148429992480 = 253572112112719
BaseRepresentation
bin1000101000111100011…
…1011111001000100000
3112012010100012212102220
42022033013133020200
54412441034224410
6152104321511040
713503143055600
oct2121707371040
9465110185386
10148429992480
1157a48952280
1224924aa2480
1310cc6218123
147281066c00
153cdad57070
hex228f1df220

148429992480 has 576 divisors, whose sum is σ = 596365701120. Its totient is φ = 30685132800.

The previous prime is 148429992457. The next prime is 148429992521. The reversal of 148429992480 is 84299924841.

148429992480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1484299924802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 95 ways as a sum of consecutive naturals, for example, 54588561 + ... + 54591279.

It is an arithmetic number, because the mean of its divisors is an integer number (1035357120).

Almost surely, 2148429992480 is an apocalyptic number.

148429992480 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 148429992480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298182850560).

148429992480 is an abundant number, since it is smaller than the sum of its proper divisors (447935708640).

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

148429992480 is a wasteful number, since it uses less digits than its factorization.

148429992480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 148429992480 in words is "one hundred forty-eight billion, four hundred twenty-nine million, nine hundred ninety-two thousand, four hundred eighty".