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150517242612 = 223211586964763
BaseRepresentation
bin1000110000101110000…
…1101101101011110100
3112101111210202011100100
42030023201231223310
54431224403230422
6153051402514100
713605646311132
oct2141341555364
9471453664310
10150517242612
115891a072190
1225207b05930
1311269790889
1473dc354752
153dae2017ac
hex230b86daf4

150517242612 has 72 divisors (see below), whose sum is σ = 415139830560. Its totient is φ = 45602809920.

The previous prime is 150517242611. The next prime is 150517242683. The reversal of 150517242612 is 216242715051.

150517242612 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 17 + 24 + 2 + 612 = 666.

150517242612 is digitally balanced in base 2, 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 not an unprimeable number, because it can be changed into a prime (150517242611) 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 23 ways as a sum of consecutive naturals, for example, 2291743 + ... + 2356505.

It is an arithmetic number, because the mean of its divisors is an integer number (5765830980).

Almost surely, 2150517242612 is an apocalyptic number.

150517242612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150517242612 is an abundant number, since it is smaller than the sum of its proper divisors (264622587948).

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

150517242612 is a wasteful number, since it uses less digits than its factorization.

150517242612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70653 (or 70648 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 150517242612 its reverse (216242715051), we get a palindrome (366759957663).

It can be divided in two parts, 150517 and 242612, that added together give a square (393129 = 6272).

The spelling of 150517242612 in words is "one hundred fifty billion, five hundred seventeen million, two hundred forty-two thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 5869 11738 17607 23476 35214 52821 64559 64763 70428 105642 129118 129526 193677 194289 211284 258236 259052 387354 388578 581031 582867 712393 774708 777156 1162062 1165734 1424786 2137179 2324124 2331468 2849572 4274358 6411537 8548716 12823074 25646148 380094047 760188094 1140282141 1520376188 2280564282 3420846423 4181034517 4561128564 6841692846 8362069034 12543103551 13683385692 16724138068 25086207102 37629310653 50172414204 75258621306 150517242612