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159993000076 = 227135914949999
BaseRepresentation
bin1001010100000001010…
…0110111000010001100
3120021222012001111220111
42111000110313002030
510110131202000301
6201255541125404
714362530030160
oct2250024670214
9507865044814
10159993000076
1161941971aa8
12270113b9864
1312119988760
147a5aa10ca0
154266058551
hex254053708c

159993000076 has 96 divisors (see below), whose sum is σ = 352800000000. Its totient is φ = 61802327808.

The previous prime is 159993000019. The next prime is 159993000091. The reversal of 159993000076 is 670000399951.

It is a junction number, because it is equal to n+sod(n) for n = 159992999993 and 159993000029.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3174925 + ... + 3224923.

It is an arithmetic number, because the mean of its divisors is an integer number (3675000000).

Almost surely, 2159993000076 is an apocalyptic number.

159993000076 is the 199996-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159993000076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176400000000).

159993000076 is an abundant number, since it is smaller than the sum of its proper divisors (192806999924).

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

159993000076 is a wasteful number, since it uses less digits than its factorization.

159993000076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50231 (or 50229 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 49.

The spelling of 159993000076 in words is "one hundred fifty-nine billion, nine hundred ninety-three million, seventy-six", and thus it is an aban number.

Divisors: 1 2 4 7 13 14 26 28 52 59 91 118 149 182 236 298 364 413 596 767 826 1043 1534 1652 1937 2086 3068 3874 4172 5369 7748 8791 10738 13559 17582 21476 27118 35164 49999 54236 61537 99998 114283 123074 199996 228566 246148 349993 457132 649987 699986 799981 1299974 1399972 1599962 2599948 2949941 3199924 4549909 5899882 7449851 9099818 11799764 14899702 18199636 20649587 29799404 38349233 41299174 52148957 76698466 82598348 96848063 104297914 153396932 193696126 208595828 268444631 387392252 439541209 536889262 677936441 879082418 1073778524 1355872882 1758164836 2711745764 3076788463 5714035717 6153576926 11428071434 12307153852 22856142868 39998250019 79996500038 159993000076