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150677106516 = 223222318768947
BaseRepresentation
bin1000110001010100001…
…1100010111101010100
3112101220221120002101200
42030111003202331110
54432041314402031
6153115313152500
713612630162506
oct2142503427524
9471827502350
10150677106516
11589a1331312
122525155b730
13112939343c1
147415689d76
153dbd27d8e6
hex23150e2f54

150677106516 has 36 divisors (see below), whose sum is σ = 382586236032. Its totient is φ = 50000472144.

The previous prime is 150677106511. The next prime is 150677106521. The reversal of 150677106516 is 615601776051.

150677106516 is a `hidden beast` number, since 1 + 5 + 0 + 67 + 71 + 0 + 6 + 516 = 666.

150677106516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150677106511) and next prime (150677106521).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150677106511) 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 11 ways as a sum of consecutive naturals, for example, 9376446 + ... + 9392501.

Almost surely, 2150677106516 is an apocalyptic number.

It is an amenable number.

150677106516 is an abundant number, since it is smaller than the sum of its proper divisors (231909129516).

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

150677106516 is a wasteful number, since it uses less digits than its factorization.

150677106516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18769180 (or 18769175 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 150677106516 in words is "one hundred fifty billion, six hundred seventy-seven million, one hundred six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 223 446 669 892 1338 2007 2676 4014 8028 18768947 37537894 56306841 75075788 112613682 168920523 225227364 337841046 675682092 4185475181 8370950362 12556425543 16741900724 25112851086 37669276629 50225702172 75338553258 150677106516