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10461452634040 = 2352404310877857
BaseRepresentation
bin1001100000111011111100…
…1010110000011110111000
31101001002211121202212212011
42120032333022300132320
52332400023333242130
634125531444255304
72126546356123552
oct230167712603670
941032747685764
1010461452634040
11337374a311981
12120b5bb3a1534
135ab6841707c5
142824a0a784d2
151321d687e52a
hex983bf2b07b8

10461452634040 has 32 divisors (see below), whose sum is σ = 23539249597680. Its totient is φ = 4184406623232.

The previous prime is 10461452634023. The next prime is 10461452634041. The reversal of 10461452634040 is 4043625416401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10461452633984 and 10461452634002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10461452634041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4477209 + ... + 6400648.

Almost surely, 210461452634040 is an apocalyptic number.

10461452634040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10461452634040 is an abundant number, since it is smaller than the sum of its proper divisors (13077796963640).

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

10461452634040 is a wasteful number, since it uses less digits than its factorization.

10461452634040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10901911 (or 10901907 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 10461452634040 in words is "ten trillion, four hundred sixty-one billion, four hundred fifty-two million, six hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 24043 48086 96172 120215 192344 240430 480860 961720 10877857 21755714 43511428 54389285 87022856 108778570 217557140 435114280 261536315851 523072631702 1046145263404 1307681579255 2092290526808 2615363158510 5230726317020 10461452634040