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1006116220650 = 235210616321811
BaseRepresentation
bin11101010010000010011…
…00110010111011101010
310120011221222011121220210
432221001030302323222
5112441011223030100
62050111534201550
7132455332525062
oct16510114627352
93504858147823
101006116220650
11358767417002
12142baa3532b6
1373b51467208
14369a686a3a2
151b2886a9c50
hexea41332eea

1006116220650 has 48 divisors (see below), whose sum is σ = 2497520335968. Its totient is φ = 268044744000.

The previous prime is 1006116220609. The next prime is 1006116220663. The reversal of 1006116220650 is 560226116001.

1006116220650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3001756 + ... + 3320055.

It is an arithmetic number, because the mean of its divisors is an integer number (52031673666).

Almost surely, 21006116220650 is an apocalyptic number.

1006116220650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006116220650 is an abundant number, since it is smaller than the sum of its proper divisors (1491404115318).

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

1006116220650 is a wasteful number, since it uses less digits than its factorization.

1006116220650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6322887 (or 6322882 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 1006116220650 in words is "one trillion, six billion, one hundred sixteen million, two hundred twenty thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 1061 2122 3183 5305 6366 10610 15915 26525 31830 53050 79575 159150 6321811 12643622 18965433 31609055 37930866 63218110 94827165 158045275 189654330 316090550 474135825 948271650 6707441471 13414882942 20122324413 33537207355 40244648826 67074414710 100611622065 167686036775 201223244130 335372073550 503058110325 1006116220650