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117212519424 = 21037111347811
BaseRepresentation
bin110110100101001101…
…0010001110000000000
3102012112202000221000010
41231022122101300000
53410022401110144
6125502515024520
711316430655610
oct1551232216000
9365482027003
10117212519424
1145789458770
121a87229b140
13b08c851690
14595d060a40
1530b03e05b9
hex1b4a691c00

117212519424 has 704 divisors, whose sum is σ = 428918095872. Its totient is φ = 27471052800.

The previous prime is 117212519381. The next prime is 117212519443. The reversal of 117212519424 is 424915212711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144527979 + ... + 144528789.

Almost surely, 2117212519424 is an apocalyptic number.

117212519424 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 117212519424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214459047936).

117212519424 is an abundant number, since it is smaller than the sum of its proper divisors (311705576448).

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

117212519424 is a wasteful number, since it uses less digits than its factorization.

117212519424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 894 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

It can be divided in two parts, 117212 and 519424, that added together give a palindrome (636636).

The spelling of 117212519424 in words is "one hundred seventeen billion, two hundred twelve million, five hundred nineteen thousand, four hundred twenty-four".