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152841739050 = 23652711135971
BaseRepresentation
bin1000111001011000010…
…0111101101100101010
3112121111210200211000000
42032112010331230222
510001004441122200
6154114200523430
714020363226520
oct2162604755452
9477453624000
10152841739050
11599021a4820
1225756480576
131154a231960
14757cd5c310
153e98311300
hex239613db2a

152841739050 has 1344 divisors, whose sum is σ = 590182225920. Its totient is φ = 28413504000.

The previous prime is 152841739009. The next prime is 152841739087. The reversal of 152841739050 is 50937148251.

152841739050 is a `hidden beast` number, since 1 + 528 + 4 + 1 + 73 + 9 + 0 + 50 = 666.

152841739050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a junction number, because it is equal to n+sod(n) for n = 152841738987 and 152841739005.

It is a congruent number.

It is an unprimeable number.

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 671 ways as a sum of consecutive naturals, for example, 2152700515 + ... + 2152700585.

It is an arithmetic number, because the mean of its divisors is an integer number (439123680).

Almost surely, 2152841739050 is an apocalyptic number.

152841739050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152841739050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295091112960).

152841739050 is an abundant number, since it is smaller than the sum of its proper divisors (437340486870).

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

152841739050 is a wasteful number, since it uses less digits than its factorization.

152841739050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 152841739050 in words is "one hundred fifty-two billion, eight hundred forty-one million, seven hundred thirty-nine thousand, fifty".