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11666504416720 = 2451019371154079
BaseRepresentation
bin1010100111000101000111…
…0110011111110111010000
31112022022021202022010212211
42221301101312133313100
53012121000112313340
640451303530201504
72312606566225156
oct251612166376720
945268252263784
1011666504416720
11379881166407a
121385068883294
136681ba247a1a
142c493a0a33d6
15153714cee5ea
hexa9c51d9fdd0

11666504416720 has 80 divisors (see below), whose sum is σ = 27396284382720. Its totient is φ = 4619874752000.

The previous prime is 11666504416711. The next prime is 11666504416727. The reversal of 11666504416720 is 2761440566611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×116665044167202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11666504416727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75640641 + ... + 75794719.

It is an arithmetic number, because the mean of its divisors is an integer number (342453554784).

Almost surely, 211666504416720 is an apocalyptic number.

11666504416720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11666504416720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13698142191360).

11666504416720 is an abundant number, since it is smaller than the sum of its proper divisors (15729779966000).

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

11666504416720 is a wasteful number, since it uses less digits than its factorization.

11666504416720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163564 (or 163558 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 11666504416720 in words is "eleven trillion, six hundred sixty-six billion, five hundred four million, four hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 9371 18742 37484 46855 74968 93710 149936 154079 187420 308158 374840 616316 749680 770395 946471 1232632 1540790 1892942 2465264 3081580 3785884 4732355 6163160 7571768 9464710 12326320 15143536 15561979 18929420 31123958 37858840 62247916 75717680 77809895 124495832 155619790 248991664 311239580 622479160 1244958320 1443874309 2887748618 5775497236 7219371545 11550994472 14438743090 23101988944 28877486180 57754972360 115509944720 145831305209 291662610418 583325220836 729156526045 1166650441672 1458313052090 2333300883344 2916626104180 5833252208360 11666504416720