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1117047067808 = 25743394112239
BaseRepresentation
bin10000010000010101001…
…100011001010010100000
310221210021221010112112112
4100100111030121102200
5121300203022132213
62213055255214452
7143463316261460
oct20202514312240
93853257115475
101117047067808
113a0811a48391
121605a8977428
138144c76b249
143c0cb519ba0
151e0cc373ea8
hex104153194a0

1117047067808 has 96 divisors (see below), whose sum is σ = 2522043578880. Its totient is φ = 477082275840.

The previous prime is 1117047067777. The next prime is 1117047067831. The reversal of 1117047067808 is 8087607407111.

It is a super-3 number, since 3×11170470678083 (a number of 37 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91263353 + ... + 91275591.

It is an arithmetic number, because the mean of its divisors is an integer number (26271287280).

Almost surely, 21117047067808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1117047067808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261021789440).

1117047067808 is an abundant number, since it is smaller than the sum of its proper divisors (1404996511072).

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

1117047067808 is a wasteful number, since it uses less digits than its factorization.

1117047067808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13630 (or 13622 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 50.

The spelling of 1117047067808 in words is "one trillion, one hundred seventeen billion, forty-seven million, sixty-seven thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 433 866 941 1732 1882 3031 3464 3764 6062 6587 6928 7528 12124 12239 13174 13856 15056 24248 24478 26348 30112 48496 48956 52696 85673 96992 97912 105392 171346 195824 210784 342692 391648 407453 685384 814906 1370768 1629812 2741536 2852171 3259624 5299487 5704342 6519248 10598974 11408684 11516899 13038496 21197948 22817368 23033798 37096409 42395896 45634736 46067596 74192818 80618293 84791792 91269472 92135192 148385636 161236586 169583584 184270384 296771272 322473172 368540768 593542544 644946344 1187085088 1289892688 2579785376 4986817267 9973634534 19947269068 34907720869 39894538136 69815441738 79789076272 139630883476 159578152544 279261766952 558523533904 1117047067808