Search a number
-
+
150557460675 = 352291812811361
BaseRepresentation
bin1000110000110111101…
…1001000100011000011
3112101121121102110011020
42030031323020203003
54431320202220200
6153055400520523
713606645205016
oct2141573104303
9471547373136
10150557460675
115893a841656
1225219480143
1311274c0274b
14740382337d
153db29e7ea0
hex230dec88c3

150557460675 has 96 divisors (see below), whose sum is σ = 260040231360. Its totient is φ = 76769280000.

The previous prime is 150557460671. The next prime is 150557460721. The reversal of 150557460675 is 576064755051.

It is not a de Polignac number, because 150557460675 - 22 = 150557460671 is a prime.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (150557460671) 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 95 ways as a sum of consecutive naturals, for example, 110621995 + ... + 110623355.

It is an arithmetic number, because the mean of its divisors is an integer number (2708752410).

Almost surely, 2150557460675 is an apocalyptic number.

150557460675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

150557460675 is a deficient number, since it is larger than the sum of its proper divisors (109482770685).

150557460675 is a wasteful number, since it uses less digits than its factorization.

150557460675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 4410000, while the sum is 51.

The spelling of 150557460675 in words is "one hundred fifty billion, five hundred fifty-seven million, four hundred sixty thousand, six hundred seventy-five".

Divisors: 1 3 5 15 25 29 75 87 145 181 281 435 543 725 843 905 1361 1405 2175 2715 4083 4215 4525 5249 6805 7025 8149 13575 15747 20415 21075 24447 26245 34025 39469 40745 50861 78735 102075 118407 122235 131225 152583 197345 203725 246341 254305 382441 393675 592035 611175 739023 762915 986725 1147323 1231705 1271525 1474969 1912205 2960175 3695115 3814575 4424907 5736615 6158525 7143889 7374845 9561025 11090789 18475575 21431667 22124535 28683075 33272367 35719445 36874225 55453945 69221821 107158335 110622675 166361835 178597225 207665463 277269725 346109105 535791675 831809175 1038327315 1730545525 2007432809 5191636575 6022298427 10037164045 30111492135 50185820225 150557460675