Search a number
-
+
120159063821808 = 243411251281119503
BaseRepresentation
bin11011010100100010110110…
…010100001100110111110000
3120202110002112202102101220000
4123110202312110030313300
5111222141230314244213
61103320151210350000
734211130421311654
oct3324426624146760
9522402482371800
10120159063821808
1135317199a94890
121158776b42b300
135207c49743aab
142195a304caa64
15dd592dd1bc73
hex6d48b650cdf0

120159063821808 has 400 divisors, whose sum is σ = 382261360707072. Its totient is φ = 36137404800000.

The previous prime is 120159063821803. The next prime is 120159063821843. The reversal of 120159063821808 is 808128360951021.

120159063821808 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 590 + 6 + 38 + 2 + 18 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120159063821803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1005430185 + ... + 1005549687.

Almost surely, 2120159063821808 is an apocalyptic number.

120159063821808 is a gapful number since it is divisible by the number (18) 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 120159063821808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191130680353536).

120159063821808 is an abundant number, since it is smaller than the sum of its proper divisors (262102296885264).

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

120159063821808 is a wasteful number, since it uses less digits than its factorization.

120159063821808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120066 (or 120051 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 120159063821808 in words is "one hundred twenty trillion, one hundred fifty-nine billion, sixty-three million, eight hundred twenty-one thousand, eight hundred eight".