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1117118440064 = 27113743349523
BaseRepresentation
bin10000010000011001011…
…100101010001010000000
310221210110220102121212102
4100100121130222022000
5121300324310040224
62213110325045532
7143465144032034
oct20203134521200
93853426377772
101117118440064
113a0849266420
121606088568a8
138146149a553
143c0d6bb81c4
151e0d37714ae
hex1041972a280

1117118440064 has 128 divisors (see below), whose sum is σ = 2499254412480. Its totient is φ = 492906332160.

The previous prime is 1117118440037. The next prime is 1117118440069. The reversal of 1117118440064 is 4600448117111.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1117118440069) by changing a digit.

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, 22532807 + ... + 22582329.

Almost surely, 21117118440064 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 1117118440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249627206240).

1117118440064 is an abundant number, since it is smaller than the sum of its proper divisors (1382135972416).

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

1117118440064 is a wasteful number, since it uses less digits than its factorization.

1117118440064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50018 (or 50006 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The spelling of 1117118440064 in words is "one trillion, one hundred seventeen billion, one hundred eighteen million, four hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 296 352 407 433 592 704 814 866 1184 1408 1628 1732 2368 3256 3464 4736 4763 6512 6928 9526 13024 13856 16021 19052 26048 27712 32042 38104 49523 52096 55424 64084 76208 99046 128168 152416 176231 198092 256336 304832 352462 396184 512672 544753 609664 704924 792368 1025344 1089506 1409848 1584736 1832351 2050688 2179012 2819696 3169472 3664702 4358024 5639392 6338944 7329404 8716048 11278784 14658808 17432096 20155861 21443459 22557568 29317616 34864192 40311722 42886918 58635232 69728384 80623444 85773836 117270464 161246888 171547672 234540928 235878049 322493776 343095344 471756098 644987552 686190688 793407983 943512196 1289975104 1372381376 1586815966 1887024392 2579950208 2744762752 3173631932 3774048784 6347263864 7548097568 8727487813 12694527728 15096195136 17454975626 25389055456 30192390272 34909951252 50778110912 69819902504 101556221824 139639805008 279279610016 558559220032 1117118440064