Search a number
-
+
150601016664 = 23337220996779
BaseRepresentation
bin1000110001000010000…
…1010010010101011000
3112101201122101022202000
42030100201102111120
54431412330013124
6153103554241000
713611014343300
oct2142041222530
9471648338660
10150601016664
115896239093a
122522bb86160
1311280c42a17
147409520600
153db674d6c9
hex2310852558

150601016664 has 192 divisors, whose sum is σ = 486939600000. Its totient is φ = 43002017856.

The previous prime is 150601016581. The next prime is 150601016711. The reversal of 150601016664 is 466610106051.

It is a happy number.

150601016664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22212427 + ... + 22219205.

It is an arithmetic number, because the mean of its divisors is an integer number (2536143750).

Almost surely, 2150601016664 is an apocalyptic number.

150601016664 is a gapful number since it is divisible by the number (14) 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 150601016664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243469800000).

150601016664 is an abundant number, since it is smaller than the sum of its proper divisors (336338583336).

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

150601016664 is a wasteful number, since it uses less digits than its factorization.

150601016664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8907 (or 8890 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 150601016664 in words is "one hundred fifty billion, six hundred one million, sixteen thousand, six hundred sixty-four".