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4152328427520 = 211345721329271
BaseRepresentation
bin111100011011001010000…
…011111001100000000000
3112200221212220111120220000
4330123022003321200000
51021012432034140040
612455315304520000
7605665366164600
oct74331203714000
915627786446800
104152328427520
111360aa1167889
125708ba480000
13241741894350
14104d8c03cc00
15730291c4130
hex3c6ca0f9800

4152328427520 has 2880 divisors, whose sum is σ = 19359029289600. Its totient is φ = 842764124160.

The previous prime is 4152328427503. The next prime is 4152328427521. The reversal of 4152328427520 is 257248232514.

4152328427520 is a `hidden beast` number, since 4 + 1 + 5 + 23 + 2 + 84 + 27 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4152328427521) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 15322244985 + ... + 15322245255.

It is an arithmetic number, because the mean of its divisors is an integer number (6721885170).

Almost surely, 24152328427520 is an apocalyptic number.

4152328427520 is a gapful number since it is divisible by the number (40) 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 4152328427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9679514644800).

4152328427520 is an abundant number, since it is smaller than the sum of its proper divisors (15206700862080).

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

4152328427520 is a wasteful number, since it uses less digits than its factorization.

4152328427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 4152328427520 in words is "four trillion, one hundred fifty-two billion, three hundred twenty-eight million, four hundred twenty-seven thousand, five hundred twenty".