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150107467068 = 22321317107176329
BaseRepresentation
bin1000101111001100011…
…0100010110100111100
3112100110020200101222100
42023303012202310330
54424410002421233
6152543003545100
713562542263216
oct2136306426474
9470406611870
10150107467068
115872982a809
122511282b190
1311202908940
14739db675b6
153d8825b813
hex22f31a2d3c

150107467068 has 144 divisors (see below), whose sum is σ = 436708752480. Its totient is φ = 43063529472.

The previous prime is 150107467039. The next prime is 150107467073. The reversal of 150107467068 is 860764701051.

150107467068 is a `hidden beast` number, since 1 + 501 + 0 + 74 + 6 + 70 + 6 + 8 = 666.

150107467068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 763128 + ... + 939456.

It is an arithmetic number, because the mean of its divisors is an integer number (3032699670).

Almost surely, 2150107467068 is an apocalyptic number.

150107467068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150107467068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218354376240).

150107467068 is an abundant number, since it is smaller than the sum of its proper divisors (286601285412).

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

150107467068 is a wasteful number, since it uses less digits than its factorization.

150107467068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176476 (or 176471 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 150107467068 in words is "one hundred fifty billion, one hundred seven million, four hundred sixty-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 107 117 153 156 204 214 221 234 306 321 428 442 468 612 642 663 884 963 1284 1326 1391 1819 1926 1989 2652 2782 3638 3852 3978 4173 5457 5564 7276 7956 8346 10914 12519 16371 16692 21828 23647 25038 32742 47294 50076 65484 70941 94588 141882 176329 212823 283764 352658 425646 528987 705316 851292 1057974 1586961 2115948 2292277 2997593 3173922 4584554 5995186 6347844 6876831 8992779 9169108 11990372 13753662 17985558 18867203 20630493 26978337 27507324 35971116 37734406 38968709 41260986 53956674 56601609 75468812 77937418 82521972 107913348 113203218 116906127 155874836 169804827 226406436 233812254 245273639 320742451 339609654 350718381 467624508 490547278 641484902 679219308 701436762 735820917 962227353 981094556 1282969804 1402873524 1471641834 1924454706 2207462751 2886682059 2943283668 3848909412 4169651863 4414925502 5773364118 8339303726 8829851004 11546728236 12508955589 16678607452 25017911178 37526866767 50035822356 75053733534 150107467068