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1116431017504 = 25112893239713
BaseRepresentation
bin10000001111110000011…
…110010110011000100000
310221201200222220221101121
4100033300132112120200
5121242422320030004
62212514211142024
7143442126033445
oct20176036263040
93851628827347
101116431017504
113a0526227700
121604565a4914
1381381c42c3a
143c06d7959cc
151e093235854
hex103f0796620

1116431017504 has 72 divisors (see below), whose sum is σ = 2443100724540. Its totient is φ = 501766594560.

The previous prime is 1116431017489. The next prime is 1116431017531. The reversal of 1116431017504 is 4057101346111.

It can be written as a sum of positive squares in 2 ways, for example, as 821959824400 + 294471193104 = 906620^2 + 542652^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1116431017504.

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, 1275249 + ... + 1964464.

Almost surely, 21116431017504 is an apocalyptic number.

It is an amenable number.

1116431017504 is an abundant number, since it is smaller than the sum of its proper divisors (1326669707036).

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

1116431017504 is a wasteful number, since it uses less digits than its factorization.

1116431017504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239834 (or 3239815 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 1116431017504 in words is "one trillion, one hundred sixteen billion, four hundred thirty-one million, seventeen thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 89 121 176 178 242 352 356 484 712 968 979 1424 1936 1958 2848 3872 3916 7832 10769 15664 21538 31328 43076 86152 172304 344608 3239713 6479426 12958852 25917704 35636843 51835408 71273686 103670816 142547372 285094744 288334457 392005273 570189488 576668914 784010546 1140378976 1153337828 1568021092 2306675656 3136042184 3171679027 4613351312 6272084368 6343358054 9226702624 12544168736 12686716108 25373432216 34888469297 50746864432 69776938594 101493728864 139553877188 279107754376 558215508752 1116431017504