Search a number
-
+
71147074048104 = 23337296292704127
BaseRepresentation
bin10000001011010100111000…
…000100110101000001101000
3100022220121000220210221201110
4100023110320010311001220
533311133201424014404
6411152303053150320
720662130551124235
oct2013247004650150
9308817026727643
1071147074048104
11207403395551aa
127b9094318b3a0
1330911a92c56c2
14137d772c1078c
15835a73022b89
hex40b538135068

71147074048104 has 64 divisors (see below), whose sum is σ = 182681152819200. Its totient is φ = 23073939396864.

The previous prime is 71147074048073. The next prime is 71147074048117. The reversal of 71147074048104 is 40184047074117.

It is a super-2 number, since 2×711470740481042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24958489 + ... + 27662615.

It is an arithmetic number, because the mean of its divisors is an integer number (2854393012800).

Almost surely, 271147074048104 is an apocalyptic number.

71147074048104 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

71147074048104 is an abundant number, since it is smaller than the sum of its proper divisors (111534078771096).

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

71147074048104 is a wasteful number, since it uses less digits than its factorization.

71147074048104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733802 (or 2733798 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 48.

The spelling of 71147074048104 in words is "seventy-one trillion, one hundred forty-seven billion, seventy-four million, forty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 29629 59258 88887 118516 177774 237032 355548 711096 1096273 2192546 2704127 3288819 4385092 5408254 6577638 8112381 8770184 10816508 13155276 16224762 21633016 26310552 32449524 64899048 100052699 200105398 300158097 400210796 600316194 800421592 1200632388 2401264776 80120578883 160241157766 240361736649 320482315532 480723473298 640964631064 961446946596 1922893893192 2964461418671 5928922837342 8893384256013 11857845674684 17786768512026 23715691349368 35573537024052 71147074048104