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261450144157464 = 23327151144394397
BaseRepresentation
bin111011011100100110011010…
…111110000000111100011000
31021021201101112002002111111200
4323130212122332000330120
5233232044343401014324
62324020312121554200
7106033102205363223
oct7334463276007430
91237641462074450
10261450144157464
1176340424427399
12253a6958345960
13b2b6848318712
14487c37c4a05ba
152035db911eec9
hexedc99af80f18

261450144157464 has 48 divisors (see below), whose sum is σ = 718067297347920. Its totient is φ = 85922582585280.

The previous prime is 261450144157459. The next prime is 261450144157493. The reversal of 261450144157464 is 464751441054162.

261450144157464 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 5 + 0 + 1 + 4 + 4 + 1 + 574 + 64 = 666.

It is a super-2 number, since 2×2614501441574642 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 261450144157464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25572192087 + ... + 25572202310.

It is an arithmetic number, because the mean of its divisors is an integer number (14959735361415).

Almost surely, 2261450144157464 is an apocalyptic number.

261450144157464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261450144157464 is an abundant number, since it is smaller than the sum of its proper divisors (456617153190456).

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

261450144157464 is a wasteful number, since it uses less digits than its factorization.

261450144157464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51144394480 (or 51144394473 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 261450144157464 in words is "two hundred sixty-one trillion, four hundred fifty billion, one hundred forty-four million, one hundred fifty-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 51144394397 102288788794 153433183191 204577577588 306866366382 409155155176 460299549573 613732732764 920599099146 1227465465528 1841198198292 3631252002187 3682396396584 7262504004374 10893756006561 14525008008748 21787512013122 29050016017496 32681268019683 43575024026244 65362536039366 87150048052488 130725072078732 261450144157464