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150535607257 = 71741101305483
BaseRepresentation
bin1000110000110010011…
…1110001001111011001
3112101120002022011220101
42030030213301033121
54431244103413012
6153053300255401
713606261356310
oct2141447611731
9471502264811
10150535607257
1158929475882
12252120a1561
1311270520829
147400975277
153db0b2cd57
hex230c9f13d9

150535607257 has 32 divisors (see below), whose sum is σ = 188451857664. Its totient is φ = 117305088000.

The previous prime is 150535607251. The next prime is 150535607273. The reversal of 150535607257 is 752706535051.

150535607257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 150535607257 - 227 = 150401389529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (150535607251) 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 31 ways as a sum of consecutive naturals, for example, 340038 + ... + 645520.

It is an arithmetic number, because the mean of its divisors is an integer number (5889120552).

Almost surely, 2150535607257 is an apocalyptic number.

150535607257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

150535607257 is a deficient number, since it is larger than the sum of its proper divisors (37916250407).

150535607257 is a wasteful number, since it uses less digits than its factorization.

150535607257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305649.

The product of its (nonzero) digits is 1102500, while the sum is 46.

The spelling of 150535607257 in words is "one hundred fifty billion, five hundred thirty-five million, six hundred seven thousand, two hundred fifty-seven".

Divisors: 1 7 17 41 101 119 287 697 707 1717 4141 4879 12019 28987 70397 305483 492779 2138381 5193211 12524803 30853783 36352477 87673621 212921651 215976481 524514311 1265005103 1490451557 3671600177 8855035721 21505086751 150535607257