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159993000075 = 35267193199829
BaseRepresentation
bin1001010100000001010…
…0110111000010001011
3120021222012001111220110
42111000110313002023
510110131202000300
6201255541125403
714362530030156
oct2250024670213
9507865044813
10159993000075
1161941971aa7
12270113b9863
131211998875c
147a5aa10c9d
154266058550
hex254053708b

159993000075 has 96 divisors (see below), whose sum is σ = 271544128000. Its totient is φ = 83099934720.

The previous prime is 159993000019. The next prime is 159993000091. The reversal of 159993000075 is 570000399951.

It is not a de Polignac number, because 159993000075 - 29 = 159992999563 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 159992999988 and 159993000033.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192994761 + ... + 192995589.

Almost surely, 2159993000075 is an apocalyptic number.

159993000075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

159993000075 is a deficient number, since it is larger than the sum of its proper divisors (111551127925).

159993000075 is a wasteful number, since it uses less digits than its factorization.

159993000075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 382725, while the sum is 48.

The spelling of 159993000075 in words is "one hundred fifty-nine billion, nine hundred ninety-three million, seventy-five", and thus it is an aban number.

Divisors: 1 3 5 15 25 67 75 193 199 201 335 579 597 829 965 995 1005 1675 2487 2895 2985 4145 4825 4975 5025 12435 12931 13333 14475 14925 20725 38407 38793 39999 55543 62175 64655 66665 115221 159997 164971 166629 192035 193965 199995 277715 323275 333325 479991 494913 576105 799985 824855 833145 960175 969825 999975 1388575 2399955 2474565 2573269 2880525 3999925 4124275 4165725 7719807 10719799 11053057 11999775 12372825 12866345 31839403 32159397 33159171 38599035 53598995 55265285 64331725 95518209 159197015 160796985 165795855 192995175 267994975 276326425 477591045 795985075 803984925 828979275 2133240001 2387955225 6399720003 10666200005 31998600015 53331000025 159993000075