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21116166160104 = 23363620741797
BaseRepresentation
bin1001100110100011111011…
…00101010011111011101000
32202202200111221000022000000
410303101331211103323220
510231431402014110404
6112524344404343000
74306410165603351
oct463217545237350
982680457008000
1021116166160104
116801352333424
1224505553a4a60
13ba23273b1802
1453005678ad28
1526942ec00339
hex13347d953ee8

21116166160104 has 56 divisors (see below), whose sum is σ = 59362061778210. Its totient is φ = 7038722051424.

The previous prime is 21116166160073. The next prime is 21116166160157. The reversal of 21116166160104 is 40106166161112.

21116166160104 is a `hidden beast` number, since 2 + 1 + 1 + 16 + 16 + 616 + 0 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13006827824004 + 8109338336100 = 3606498^2 + 2847690^2 .

It is a super-2 number, since 2×211161661601042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1810365067 + ... + 1810376730.

Almost surely, 221116166160104 is an apocalyptic number.

21116166160104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21116166160104 is an abundant number, since it is smaller than the sum of its proper divisors (38245895618106).

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

21116166160104 is an equidigital number, since it uses as much as digits as its factorization.

21116166160104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620741821 (or 3620741802 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 21116166160104 in words is "twenty-one trillion, one hundred sixteen billion, one hundred sixty-six million, one hundred sixty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 3620741797 7241483594 10862225391 14482967188 21724450782 28965934376 32586676173 43448901564 65173352346 86897803128 97760028519 130346704692 195520057038 260693409384 293280085557 391040114076 586560171114 782080228152 879840256671 1173120342228 1759680513342 2346240684456 2639520770013 3519361026684 5279041540026 7038722053368 10558083080052 21116166160104