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150494534640 = 243252115471811
BaseRepresentation
bin1000110000101000101…
…1000101101111110000
3112101110020000110212100
42030022023011233300
54431203100102030
6153045232100400
713605252303132
oct2141213055760
9471406013770
10150494534640
115890827236a
1225200394700
1311264b6c9c8
1473d9323052
153dac218360
hex230a2c5bf0

150494534640 has 240 divisors, whose sum is σ = 509015385216. Its totient is φ = 39846643200.

The previous prime is 150494534629. The next prime is 150494534647. The reversal of 150494534640 is 46435494051.

150494534640 is a `hidden beast` number, since 1 + 50 + 4 + 9 + 4 + 534 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150494534647) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 83099335 + ... + 83101145.

Almost surely, 2150494534640 is an apocalyptic number.

150494534640 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 150494534640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254507692608).

150494534640 is an abundant number, since it is smaller than the sum of its proper divisors (358520850576).

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

150494534640 is a wasteful number, since it uses less digits than its factorization.

150494534640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

It can be divided in two parts, 15049 and 4534640, that added together give a square (4549689 = 21332).

The spelling of 150494534640 in words is "one hundred fifty billion, four hundred ninety-four million, five hundred thirty-four thousand, six hundred forty".