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152652740240 = 245711136832791
BaseRepresentation
bin1000111000101011001…
…1111111011010010000
3112121000122001200101002
42032022303333122100
510000113100141430
6154043330001132
714012606611550
oct2161263773220
9477018050332
10152652740240
1159815546160
12257031161a8
131151a029b40
147561c01160
153e8692b845
hex238acff690

152652740240 has 320 divisors, whose sum is σ = 477401444352. Its totient is φ = 43840051200.

The previous prime is 152652740239. The next prime is 152652740297. The reversal of 152652740240 is 42047256251.

It is a junction number, because it is equal to n+sod(n) for n = 152652740194 and 152652740203.

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, 54693245 + ... + 54696035.

Almost surely, 2152652740240 is an apocalyptic number.

152652740240 is a gapful number since it is divisible by the number (10) 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 152652740240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238700722176).

152652740240 is an abundant number, since it is smaller than the sum of its proper divisors (324748704112).

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

152652740240 is a wasteful number, since it uses less digits than its factorization.

152652740240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 38.

Adding to 152652740240 its reverse (42047256251), we get a palindrome (194699996491).

The spelling of 152652740240 in words is "one hundred fifty-two billion, six hundred fifty-two million, seven hundred forty thousand, two hundred forty".