Search a number
-
+
10002575378655 = 335431171909863
BaseRepresentation
bin1001000110001110011111…
…1100111100100011011111
31022102020101200021001012000
42101203213330330203133
52302340233244104110
633135041504213343
72051443066611006
oct221434774744337
938366350231160
1010002575378655
113207083042132
12115669630a253
1357731488a712
142681ad1a1c3d
151252cb0ad1c0
hex918e7f3c8df

10002575378655 has 32 divisors (see below), whose sum is σ = 17823614699520. Its totient is φ = 5322329327520.

The previous prime is 10002575378641. The next prime is 10002575378657. The reversal of 10002575378655 is 55687357520001.

10002575378655 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 57 + 537 + 8 + 6 + 55 = 666.

It is not a de Polignac number, because 10002575378655 - 215 = 10002575345887 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002575378657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85896747 + ... + 86013116.

It is an arithmetic number, because the mean of its divisors is an integer number (556987959360).

Almost surely, 210002575378655 is an apocalyptic number.

10002575378655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10002575378655 is a deficient number, since it is larger than the sum of its proper divisors (7821039320865).

10002575378655 is a wasteful number, since it uses less digits than its factorization.

10002575378655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171910308 (or 171910302 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 54.

The spelling of 10002575378655 in words is "ten trillion, two billion, five hundred seventy-five million, three hundred seventy-eight thousand, six hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 135 431 1293 2155 3879 6465 11637 19395 58185 171909863 515729589 859549315 1547188767 2578647945 4641566301 7735943835 23207831505 74093150953 222279452859 370465754765 666838358577 1111397264295 2000515075731 3334191792885 10002575378655