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147847015484 = 227233111365537
BaseRepresentation
bin1000100110110001011…
…1100110110000111100
3112010121201020120100022
42021230113212300330
54410242313443414
6151530414351312
713452533616320
oct2115427466074
9463551216308
10147847015484
1157779871003
12247a17bb538
1310c324cc91c
147227871980
153ca4a9d18e
hex226c5e6c3c

147847015484 has 96 divisors (see below), whose sum is σ = 321327046656. Its totient is φ = 58133053440.

The previous prime is 147847015483. The next prime is 147847015487. The reversal of 147847015484 is 484510748741.

147847015484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1478470154842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147847015483) 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 31 ways as a sum of consecutive naturals, for example, 2223164 + ... + 2288700.

It is an arithmetic number, because the mean of its divisors is an integer number (3347156736).

Almost surely, 2147847015484 is an apocalyptic number.

147847015484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147847015484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160663523328).

147847015484 is an abundant number, since it is smaller than the sum of its proper divisors (173480031172).

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

147847015484 is a wasteful number, since it uses less digits than its factorization.

147847015484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65715 (or 65713 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 53.

The spelling of 147847015484 in words is "one hundred forty-seven billion, eight hundred forty-seven million, fifteen thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 23 28 31 46 62 92 113 124 161 217 226 322 434 452 644 713 791 868 1426 1582 2599 2852 3164 3503 4991 5198 7006 9982 10396 14012 18193 19964 24521 36386 49042 65537 72772 80569 98084 131074 161138 262148 322276 458759 563983 917518 1127966 1507351 1835036 2031647 2255932 3014702 4063294 6029404 7405681 8126588 10551457 14221529 14811362 21102914 28443058 29622724 42205828 46727881 51839767 56886116 93455762 103679534 170330663 186911524 207359068 229576111 327095167 340661326 459152222 654190334 681322652 918304444 1192314641 1308380668 1607032777 2384629282 3214065554 4769258564 5280250553 6428131108 10560501106 21121002212 36961753871 73923507742 147847015484