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1146117721616 = 24725327582733
BaseRepresentation
bin10000101011011001111…
…100001000111000010000
311001120022220200202121022
4100223121330020320100
5122234222114042431
62234304052215012
7145542602615300
oct20533174107020
94046286622538
101146117721616
1140207a63590a
1216616060a468
138410343344a
143d688369600
151ec2e5c607b
hex10ad9f08e10

1146117721616 has 60 divisors (see below), whose sum is σ = 2631889312812. Its totient is φ = 481925493504.

The previous prime is 1146117721597. The next prime is 1146117721621. The reversal of 1146117721616 is 6161277116411.

It can be written as a sum of positive squares in 2 ways, for example, as 519639139600 + 626478582016 = 720860^2 + 791504^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13749815 + ... + 13832918.

Almost surely, 21146117721616 is an apocalyptic number.

1146117721616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1146117721616 is an abundant number, since it is smaller than the sum of its proper divisors (1485771591196).

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

1146117721616 is a wasteful number, since it uses less digits than its factorization.

1146117721616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27582808 (or 27582795 counting only the distinct ones).

The product of its digits is 84672, while the sum is 44.

The spelling of 1146117721616 in words is "one trillion, one hundred forty-six billion, one hundred seventeen million, seven hundred twenty-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 371 392 424 742 784 848 1484 2597 2968 5194 5936 10388 20776 41552 27582733 55165466 110330932 193079131 220661864 386158262 441323728 772316524 1351553917 1461884849 1544633048 2703107834 2923769698 3089266096 5406215668 5847539396 10233193943 10812431336 11695078792 20466387886 21624862672 23390157584 40932775772 71632357601 81865551544 143264715202 163731103088 286529430404 573058860808 1146117721616