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147365457252 = 223133781131481
BaseRepresentation
bin1000100100111110101…
…0100110110101100100
3112002101011002212122020
42021033222212311210
54403301024113002
6151410533103140
713434565501416
oct2111752466544
9462334085566
10147365457252
1157551a601a2
1224688487ab0
1310b86803920
1471bd91a9b6
153c776792bc
hex224faa6d64

147365457252 has 96 divisors (see below), whose sum is σ = 380792168064. Its totient is φ = 44061926400.

The previous prime is 147365457229. The next prime is 147365457259. The reversal of 147365457252 is 252754563741.

147365457252 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 147365457195 and 147365457204.

It is not an unprimeable number, because it can be changed into a prime (147365457259) 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, 4665352 + ... + 4696832.

It is an arithmetic number, because the mean of its divisors is an integer number (3966585084).

Almost surely, 2147365457252 is an apocalyptic number.

147365457252 is a gapful number since it is divisible by the number (12) 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 147365457252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190396084032).

147365457252 is an abundant number, since it is smaller than the sum of its proper divisors (233426710812).

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

147365457252 is a wasteful number, since it uses less digits than its factorization.

147365457252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32349 (or 32347 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 51.

The spelling of 147365457252 in words is "one hundred forty-seven billion, three hundred sixty-five million, four hundred fifty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 811 962 1443 1622 1924 2433 2886 3244 4866 5772 9732 10543 21086 30007 31481 31629 42172 60014 62962 63258 90021 94443 120028 125924 126516 180042 188886 360084 377772 390091 409253 780182 818506 1164797 1170273 1227759 1560364 1637012 2329594 2340546 2455518 3494391 4659188 4681092 4911036 6988782 13977564 15142361 25531091 30284722 45427083 51062182 60569444 76593273 90854166 102124364 153186546 181708332 306373092 331904183 663808366 944650367 995712549 1327616732 1889300734 1991425098 2833951101 3778601468 3982850196 5667902202 11335804404 12280454771 24560909542 36841364313 49121819084 73682728626 147365457252