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150289441965 = 32513319079137
BaseRepresentation
bin1000101111110111110…
…0101110010010101101
3112100220221002200121100
42023331330232102231
54430243044120330
6153013024153313
713600212115245
oct2137574562255
9470827080540
10150289441965
1158812521193
1225163768839
13112315216b0
1473b9db6b25
153d99205060
hex22fdf2e4ad

150289441965 has 96 divisors (see below), whose sum is σ = 289940990976. Its totient is φ = 71515146240.

The previous prime is 150289441909. The next prime is 150289441969. The reversal of 150289441965 is 569144982051.

150289441965 is a `hidden beast` number, since 1 + 502 + 8 + 9 + 4 + 41 + 96 + 5 = 666.

It is not a de Polignac number, because 150289441965 - 26 = 150289441901 is a prime.

It is a super-2 number, since 2×1502894419652 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150289441969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16443877 + ... + 16453013.

It is an arithmetic number, because the mean of its divisors is an integer number (3020218656).

Almost surely, 2150289441965 is an apocalyptic number.

150289441965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

150289441965 is a deficient number, since it is larger than the sum of its proper divisors (139651549011).

150289441965 is a wasteful number, since it uses less digits than its factorization.

150289441965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10099 (or 10096 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 150289441965 in words is "one hundred fifty billion, two hundred eighty-nine million, four hundred forty-one thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 13 15 31 39 45 65 93 117 155 195 279 403 465 585 907 1209 1395 2015 2721 3627 4535 6045 8163 9137 11791 13605 18135 27411 28117 35373 40815 45685 58955 82233 84351 106119 118781 137055 140585 176865 253053 283247 356343 365521 411165 421755 530595 593905 849741 1069029 1096563 1265265 1416235 1781715 1827605 2549223 3289689 3682211 4248705 5345145 5482815 8287259 11046633 12746115 16448445 18411055 24861777 33139899 41436295 55233165 74585331 107734367 124308885 165699495 256905029 323203101 372926655 538671835 770715087 969609303 1284525145 1616015505 2312145261 3339765377 3853575435 4848046515 10019296131 11560726305 16698826885 30057888393 50096480655 150289441965