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47675808750852 = 22341813892089897
BaseRepresentation
bin10101101011100011000111…
…01001010001110100000100
320020210202121002021121020000
422311301203221101310010
522222110024020011402
6245221544132441300
713020314661650262
oct1265614351216404
9206722532247200
1047675808750852
1114211219152517
12541ba83a79230
13207aa6a5517c9
14bab742c35432
1557a255805c1c
hex2b5c63a51d04

47675808750852 has 120 divisors (see below), whose sum is σ = 125644793153880. Its totient is φ = 15763500357120.

The previous prime is 47675808750847. The next prime is 47675808750859. The reversal of 47675808750852 is 25805780857674.

47675808750852 is a `hidden beast` number, since 4 + 7 + 67 + 5 + 8 + 0 + 8 + 7 + 508 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3115698037956 + 44560110712896 = 1765134^2 + 6675336^2 .

It is a super-2 number, since 2×476758087508522 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47675808750859) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21767568 + ... + 23857464.

It is an arithmetic number, because the mean of its divisors is an integer number (1047039942949).

Almost surely, 247675808750852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47675808750852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62822396576940).

47675808750852 is an abundant number, since it is smaller than the sum of its proper divisors (77968984403028).

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

47675808750852 is a wasteful number, since it uses less digits than its factorization.

47675808750852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090483 (or 2090472 counting only the distinct ones).

The product of its (nonzero) digits is 1053696000, while the sum is 72.

The spelling of 47675808750852 in words is "forty-seven trillion, six hundred seventy-five billion, eight hundred eight million, seven hundred fifty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 181 324 362 389 543 724 778 1086 1167 1556 1629 2172 2334 3258 3501 4668 4887 6516 7002 9774 10503 14004 14661 19548 21006 29322 31509 42012 58644 63018 70409 126036 140818 211227 281636 422454 633681 844908 1267362 1901043 2089897 2534724 3802086 4179794 5703129 6269691 7604172 8359588 11406258 12539382 18809073 22812516 25078764 37618146 56427219 75236292 112854438 169281657 225708876 338563314 378271357 677126628 756542714 812969933 1134814071 1513085428 1625939866 2269628142 2438909799 3251879732 3404442213 4539256284 4877819598 6808884426 7316729397 9755639196 10213326639 13617768852 14633458794 20426653278 21950188191 29266917588 30639979917 40853306556 43900376382 61279959834 65850564573 87800752764 122559919668 131701129146 147147557873 263402258292 294295115746 441442673619 588590231492 882885347238 1324328020857 1765770694476 2648656041714 3972984062571 5297312083428 7945968125142 11918952187713 15891936250284 23837904375426 47675808750852