Search a number
-
+
150263902764 = 22331917284463
BaseRepresentation
bin1000101111110001101…
…1010011001000101100
3112100212011001011102000
42023330123103020230
54430220024342024
6153010312532300
713566452046033
oct2137433231054
9470764034360
10150263902764
11587aa068208
12251570b1090
131122914bc41
1473b684971a
153d96d5ccc9
hex22fc6d322c

150263902764 has 48 divisors (see below), whose sum is σ = 391612784640. Its totient is φ = 49825720080.

The previous prime is 150263902753. The next prime is 150263902769. The reversal of 150263902764 is 467209362051.

150263902764 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 639 + 0 + 2 + 7 + 6 + 4 = 666.

150263902764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (150263902769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3621604 + ... + 3662859.

It is an arithmetic number, because the mean of its divisors is an integer number (8158599680).

Almost surely, 2150263902764 is an apocalyptic number.

It is an amenable number.

150263902764 is an abundant number, since it is smaller than the sum of its proper divisors (241348881876).

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

150263902764 is a wasteful number, since it uses less digits than its factorization.

150263902764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284667 (or 7284659 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 150263902764 in words is "one hundred fifty billion, two hundred sixty-three million, nine hundred two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 191 382 573 764 1146 1719 2292 3438 5157 6876 10314 20628 7284463 14568926 21853389 29137852 43706778 65560167 87413556 131120334 196680501 262240668 393361002 786722004 1391332433 2782664866 4173997299 5565329732 8347994598 12521991897 16695989196 25043983794 37565975691 50087967588 75131951382 150263902764