Search a number
-
+
150285151638 = 23213163734161
BaseRepresentation
bin1000101111110110110…
…0010110110110010110
3112100220122000201101100
42023331230112312112
54430240444323023
6153012352210530
713600130466066
oct2137554266626
9470818021340
10150285151638
1158810060866
1225162239a46
131123067b93b
1473b95bb3a6
153d98b58c43
hex22fdb16d96

150285151638 has 24 divisors (see below), whose sum is σ = 328103465976. Its totient is φ = 49712644800.

The previous prime is 150285151559. The next prime is 150285151651. The reversal of 150285151638 is 836151582051.

150285151638 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 8 + 5 + 1 + 5 + 1 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 150285151593 and 150285151602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31864723 + ... + 31869438.

It is an arithmetic number, because the mean of its divisors is an integer number (13670977749).

Almost surely, 2150285151638 is an apocalyptic number.

150285151638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

150285151638 is an abundant number, since it is smaller than the sum of its proper divisors (177818314338).

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

150285151638 is a wasteful number, since it uses less digits than its factorization.

150285151638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63734300 (or 63734297 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 150285151638 in words is "one hundred fifty billion, two hundred eighty-five million, one hundred fifty-one thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 131 262 393 786 1179 2358 63734161 127468322 191202483 382404966 573607449 1147214898 8349175091 16698350182 25047525273 50095050546 75142575819 150285151638