Search a number
-
+
261776016342 = 23282321378269
BaseRepresentation
bin1111001111001100010…
…0010000001111010110
3221000200121202110122200
43303303010100033112
513242104130010332
6320131440305330
724625024265631
oct3636304201726
9830617673580
10261776016342
11a1022811665
1242898312246
131b8ba9bc9b9
14c9547a6c18
156c21a9417c
hex3cf31103d6

261776016342 has 48 divisors (see below), whose sum is σ = 568204971360. Its totient is φ = 87101329536.

The previous prime is 261776016323. The next prime is 261776016343. The reversal of 261776016342 is 243610677162.

261776016342 is a `hidden beast` number, since 2 + 6 + 1 + 7 + 7 + 6 + 0 + 1 + 634 + 2 = 666.

261776016342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261776016343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31653384 + ... + 31661652.

It is an arithmetic number, because the mean of its divisors is an integer number (11837603570).

Almost surely, 2261776016342 is an apocalyptic number.

261776016342 is an abundant number, since it is smaller than the sum of its proper divisors (306428955018).

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

261776016342 is a wasteful number, since it uses less digits than its factorization.

261776016342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11237 (or 11234 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 261776016342 in words is "two hundred sixty-one billion, seven hundred seventy-six million, sixteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 823 1646 2137 2469 4274 4938 6411 7407 8269 12822 14814 16538 19233 24807 38466 49614 74421 148842 1758751 3517502 5276253 6805387 10552506 13610774 15828759 17670853 20416161 31657518 35341706 40832322 53012559 61248483 106025118 122496966 159037677 318075354 14543112019 29086224038 43629336057 87258672114 130888008171 261776016342