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48294812457 = 32176137313873
BaseRepresentation
bin101100111110100110…
…000101101100101001
311121122202012200001200
4230332212011230221
51242401432444312
634104125234413
73326535063333
oct547646055451
9147582180050
1048294812457
1119533187451
129439a02a09
1347286c8208
1424a2098453
1513c9d190dc
hexb3e985b29

48294812457 has 48 divisors (see below), whose sum is σ = 75280213008. Its totient is φ = 29723811840.

The previous prime is 48294812387. The next prime is 48294812471. The reversal of 48294812457 is 75421849284.

48294812457 is a `hidden beast` number, since 482 + 94 + 8 + 1 + 24 + 57 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1082475801 + 47212336656 = 32901^2 + 217284^2 .

It is not a de Polignac number, because 48294812457 - 214 = 48294796073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48294812257) 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 47 ways as a sum of consecutive naturals, for example, 3474273 + ... + 3488145.

It is an arithmetic number, because the mean of its divisors is an integer number (1568337771).

Almost surely, 248294812457 is an apocalyptic number.

It is an amenable number.

48294812457 is a deficient number, since it is larger than the sum of its proper divisors (26985400551).

48294812457 is a wasteful number, since it uses less digits than its factorization.

48294812457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14330 (or 14327 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 48294812457 in words is "forty-eight billion, two hundred ninety-four million, eight hundred twelve thousand, four hundred fifty-seven".

Divisors: 1 3 9 17 51 61 153 183 373 549 1037 1119 3111 3357 6341 9333 13873 19023 22753 41619 57069 68259 124857 204777 235841 386801 707523 846253 1160403 2122569 2538759 3481209 5174629 7616277 14386301 15523887 43158903 46571661 87968693 129476709 263906079 315652369 791718237 946957107 2840871321 5366090273 16098270819 48294812457