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148065890700 = 2235271347167691
BaseRepresentation
bin1000100111100101101…
…0100011000110001100
3112011011222002120200210
42021321122203012030
54411214332000300
6152004233522420
713461132206430
oct2117132430614
9464158076623
10148065890700
1157881376212
1224842b73410
1310c689653a0
1472489689c0
153cb8dd5050
hex22796a318c

148065890700 has 576 divisors, whose sum is σ = 542493278208. Its totient is φ = 30348518400.

The previous prime is 148065890659. The next prime is 148065890719. The reversal of 148065890700 is 7098560841.

148065890700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 148065890700.

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, 214277355 + ... + 214278045.

It is an arithmetic number, because the mean of its divisors is an integer number (941828608).

Almost surely, 2148065890700 is an apocalyptic number.

148065890700 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 148065890700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271246639104).

148065890700 is an abundant number, since it is smaller than the sum of its proper divisors (394427387508).

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

148065890700 is a wasteful number, since it uses less digits than its factorization.

148065890700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 148065890700 in words is "one hundred forty-eight billion, sixty-five million, eight hundred ninety thousand, seven hundred".