Search a number
-
+
1005508558050 = 23526703390387
BaseRepresentation
bin11101010000111001111…
…10101111110011100010
310120010101121202011112120
432220130332233303202
5112433240142324200
62045531350005110
7132434303503023
oct16503476576342
93503347664476
101005508558050
11358485405107
12142a5a946796
1373a855b7949
1436949c8ac4a
151b2501769a0
hexea1cfafce2

1005508558050 has 24 divisors (see below), whose sum is σ = 2493661224336. Its totient is φ = 268135615440.

The previous prime is 1005508558037. The next prime is 1005508558069. The reversal of 1005508558050 is 508558055001.

It is a super-2 number, since 2×10055085580502 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005508557993 and 1005508558011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3351695044 + ... + 3351695343.

It is an arithmetic number, because the mean of its divisors is an integer number (103902551014).

Almost surely, 21005508558050 is an apocalyptic number.

1005508558050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005508558050 is an abundant number, since it is smaller than the sum of its proper divisors (1488152666286).

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

1005508558050 is a wasteful number, since it uses less digits than its factorization.

1005508558050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6703390402 (or 6703390397 counting only the distinct ones).

The product of its (nonzero) digits is 200000, while the sum is 42.

The spelling of 1005508558050 in words is "one trillion, five billion, five hundred eight million, five hundred fifty-eight thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 6703390387 13406780774 20110171161 33516951935 40220342322 67033903870 100550855805 167584759675 201101711610 335169519350 502754279025 1005508558050