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1010468641014 = 23477187123983
BaseRepresentation
bin11101011010001001001…
…11111101100011110110
310120121012022000111020000
432231010213331203312
5113023414433003024
62052111453452130
7133001232506220
oct16550447754366
93517168014200
101010468641014
1135a5a0228928
12143a03aa1046
13743960ab691
1436c9a91b410
151b440845cc9
hexeb449fd8f6

1010468641014 has 80 divisors (see below), whose sum is σ = 2588036064768. Its totient is φ = 288662827248.

The previous prime is 1010468641009. The next prime is 1010468641043. The reversal of 1010468641014 is 4101468640101.

It is a happy number.

1010468641014 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 4 + 6 + 8 + 641 + 0 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1010468641014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8088067 + ... + 8212049.

Almost surely, 21010468641014 is an apocalyptic number.

1010468641014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1010468641014 is an abundant number, since it is smaller than the sum of its proper divisors (1577567423754).

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

1010468641014 is a wasteful number, since it uses less digits than its factorization.

1010468641014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131191 (or 131182 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1010468641014 in words is "one trillion, ten billion, four hundred sixty-eight million, six hundred forty-one thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 7187 14374 21561 43122 50309 64683 100618 123983 129366 150927 194049 247966 301854 371949 388098 452781 582147 743898 867881 905562 1115847 1164294 1358343 1735762 2231694 2603643 2716686 3347541 4075029 5207286 6695082 7810929 8150058 10042623 15621858 20085246 23432787 46865574 70298361 140596722 891065821 1782131642 2673197463 5346394926 6237460747 8019592389 12474921494 16039184778 18712382241 24058777167 37424764482 48117554334 56137146723 72176331501 112274293446 144352663002 168411440169 336822880338 505234320507 1010468641014