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16140877804161 = 3311377272020387
BaseRepresentation
bin1110101011100001011101…
…0010011011001010000001
32010011001102112012202102000
43222320113102123022001
54103423004204213121
654155003352214213
73254065666420545
oct352702722331201
963131375182360
1016140877804161
1151633428018a0
12198826339a369
13901102ba1c46
143db318d69a25
151cecdbbe2526
hexeae1749b281

16140877804161 has 64 divisors (see below), whose sum is σ = 26828166543360. Its totient is φ = 9504865529280.

The previous prime is 16140877804123. The next prime is 16140877804213.

16140877804161 is a `hidden beast` number, since 1 + 6 + 1 + 408 + 7 + 78 + 0 + 4 + 161 = 666.

16140877804161 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16140877804161 - 233 = 16132287869569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16140877804098 and 16140877804107.

It is not an unprimeable number, because it can be changed into a prime (16140877404161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6978810 + ... + 8999196.

It is an arithmetic number, because the mean of its divisors is an integer number (419190102240).

Almost surely, 216140877804161 is an apocalyptic number.

16140877804161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16140877804161 is a deficient number, since it is larger than the sum of its proper divisors (10687288739199).

16140877804161 is a wasteful number, since it uses less digits than its factorization.

16140877804161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021171 (or 2021165 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 16140877804161 in words is "sixteen trillion, one hundred forty billion, eight hundred seventy-seven million, eight hundred four thousand, one hundred sixty-one".

Divisors: 1 3 9 11 27 33 37 99 111 297 333 407 727 999 1221 2181 3663 6543 7997 10989 19629 23991 26899 71973 80697 215919 242091 295889 726273 887667 2020387 2663001 6061161 7989003 18183483 22224257 54550449 66672771 74754319 200018313 224262957 600054939 672788871 822297509 1468821349 2018366613 2466892527 4406464047 7400677581 13219392141 16157034839 22202032743 39658176423 48471104517 54346389913 145413313551 163039169739 436239940653 489117509217 597810289043 1467352527651 1793430867129 5380292601387 16140877804161