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155006410713 = 372111271993793
BaseRepresentation
bin1001000001011100011…
…0100001111111011001
3112211002122220112021120
42100113012201333121
510014423120120323
6155113045155453
714125126515600
oct2202706417731
9484078815246
10155006410713
115a813094670
122605b3bbb89
1311803843c6b
147706640a37
1540733a05e3
hex24171a1fd9

155006410713 has 96 divisors (see below), whose sum is σ = 265737830400. Its totient is φ = 79466365440.

The previous prime is 155006410681. The next prime is 155006410751. The reversal of 155006410713 is 317014600551.

155006410713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 155006410713 - 25 = 155006410681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (155006410313) 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 95 ways as a sum of consecutive naturals, for example, 40864545 + ... + 40868337.

It is an arithmetic number, because the mean of its divisors is an integer number (2768102400).

Almost surely, 2155006410713 is an apocalyptic number.

It is an amenable number.

155006410713 is a deficient number, since it is larger than the sum of its proper divisors (110731419687).

155006410713 is a wasteful number, since it uses less digits than its factorization.

155006410713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 155006410713 in words is "one hundred fifty-five billion, six million, four hundred ten thousand, seven hundred thirteen".

Divisors: 1 3 7 11 21 33 49 77 127 147 199 231 381 539 597 889 1393 1397 1617 2189 2667 3793 4179 4191 6223 6567 9751 9779 11379 15323 18669 25273 26551 29253 29337 41723 45969 68453 75819 79653 107261 125169 176911 185857 205359 278003 292061 321783 481711 530733 557571 754807 834009 876183 1238377 1445133 1946021 2044427 2264421 3371977 3715131 5283649 5298821 5838063 6133281 8302877 10115931 13622147 15850947 15896463 23603839 24908631 36985543 37091747 40866441 58120139 70811517 95860489 110956629 111275241 174360417 259642229 287581467 406840973 671023423 778926687 1054465379 1220522919 2013070269 3163396137 4697163961 7381257653 14091491883 22143772959 51668803571 155006410713