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150300150156 = 223313137781397
BaseRepresentation
bin1000101111111010010…
…1100100100110001100
3112100221200020201111000
42023332211210212030
54430303314301111
6153014045500300
713600402124412
oct2137645444614
9470850221430
10150300150156
1158818575432
1225167271690
13112338006c0
1473bb5a32b2
153d9a11cc56
hex22fe96498c

150300150156 has 96 divisors (see below), whose sum is σ = 422705062080. Its totient is φ = 45908577792.

The previous prime is 150300150137. The next prime is 150300150163. The reversal of 150300150156 is 651051003051.

150300150156 is a `hidden beast` number, since 1 + 503 + 0 + 0 + 1 + 5 + 0 + 156 = 666.

150300150156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1503001501562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 198351 + ... + 583046.

It is an arithmetic number, because the mean of its divisors is an integer number (4403177730).

Almost surely, 2150300150156 is an apocalyptic number.

It is an amenable number.

150300150156 is an abundant number, since it is smaller than the sum of its proper divisors (272404911924).

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

150300150156 is a wasteful number, since it uses less digits than its factorization.

150300150156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781560 (or 781552 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 150300150156 in words is "one hundred fifty billion, three hundred million, one hundred fifty thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 137 156 234 274 351 411 468 548 702 822 1233 1404 1644 1781 2466 3562 3699 4932 5343 7124 7398 10686 14796 16029 21372 32058 48087 64116 96174 192348 781397 1562794 2344191 3125588 4688382 7032573 9376764 10158161 14065146 20316322 21097719 28130292 30474483 40632644 42195438 60948966 84390876 91423449 107051389 121897932 182846898 214102778 274270347 321154167 365693796 428205556 548540694 642308334 963462501 1097081388 1284616668 1391668057 1926925002 2783336114 2890387503 3853850004 4175004171 5566672228 5780775006 8350008342 11561550012 12525012513 16700016684 25050025026 37575037539 50100050052 75150075078 150300150156