Search a number
-
+
150051991950 = 232527223295873
BaseRepresentation
bin1000101110111111001…
…0111011000110001110
3112100022101021222102100
42023233302323012032
54424301302220300
6152533302535530
713561266613200
oct2135762730616
9470271258370
10150051991950
115870048a503
12250b81375a6
13111c4284423
147396646770
153d8344e700
hex22efcbb18e

150051991950 has 216 divisors, whose sum is σ = 489349559088. Its totient is φ = 32806287360.

The previous prime is 150051991913. The next prime is 150051991963. The reversal of 150051991950 is 59199150051.

150051991950 is a `hidden beast` number, since 1 + 500 + 5 + 1 + 9 + 91 + 9 + 50 = 666.

150051991950 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 (45).

It is a junction number, because it is equal to n+sod(n) for n = 150051991896 and 150051991905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 359214 + ... + 655086.

It is an arithmetic number, because the mean of its divisors is an integer number (2265507218).

Almost surely, 2150051991950 is an apocalyptic number.

150051991950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150051991950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244674779544).

150051991950 is an abundant number, since it is smaller than the sum of its proper divisors (339297567138).

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

150051991950 is a wasteful number, since it uses less digits than its factorization.

150051991950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295928 (or 295913 counting only the distinct ones).

The product of its (nonzero) digits is 91125, while the sum is 45.

The spelling of 150051991950 in words is "one hundred fifty billion, fifty-one million, nine hundred ninety-one thousand, nine hundred fifty".