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1020425202405 = 34572912411667
BaseRepresentation
bin11101101100101100001…
…01001110101011100101
310121112220012001012210000
432312112011032223211
5113204312322434110
62100435445251513
7133503042052050
oct16662605165345
93545805035700
101020425202405
1136383a473864
12145922403b99
13752c1a9a11b
1437562db3a97
151b8249c31c0
hexed9614eae5

1020425202405 has 80 divisors (see below), whose sum is σ = 2162609032320. Its totient is φ = 450394535808.

The previous prime is 1020425202389. The next prime is 1020425202431. The reversal of 1020425202405 is 5042025240201.

1020425202405 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 252 + 0 + 2 + 405 = 666.

It is not a de Polignac number, because 1020425202405 - 24 = 1020425202389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6123619 + ... + 6288048.

It is an arithmetic number, because the mean of its divisors is an integer number (27032612904).

Almost surely, 21020425202405 is an apocalyptic number.

1020425202405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020425202405 is an abundant number, since it is smaller than the sum of its proper divisors (1142183829915).

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

1020425202405 is a wasteful number, since it uses less digits than its factorization.

1020425202405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12411720 (or 12411711 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 1020425202405 in words is "one trillion, twenty billion, four hundred twenty-five million, two hundred two thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 29 35 45 63 81 87 105 135 145 189 203 261 315 405 435 567 609 783 945 1015 1305 1827 2349 2835 3045 3915 5481 9135 11745 16443 27405 82215 12411667 37235001 62058335 86881669 111705003 186175005 260645007 335115009 359938343 434408345 558525015 781935021 1005345027 1079815029 1303225035 1675575045 1799691715 2345805063 2519568401 3239445087 3909675105 5026725135 5399075145 7037415189 7558705203 9718335261 11729025315 12597842005 16197225435 22676115609 29155005783 35187075945 37793526015 48591676305 68028346827 113380578045 145775028915 204085040481 340141734135 1020425202405