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157453536240 = 24325711131771181
BaseRepresentation
bin1001001010100011110…
…1100100101111110000
3120001102012121101102100
42102220331210233300
510034431101124430
6200155543420400
714242562655420
oct2225075445760
9501365541370
10157453536240
1160859464260
1226622a54700
1311b0381c830
14789964a480
154168134960
hex24a8f64bf0

157453536240 has 1920 divisors, whose sum is σ = 766534938624. Its totient is φ = 27869184000.

The previous prime is 157453536211. The next prime is 157453536241. The reversal of 157453536240 is 42635354751.

157453536240 is a `hidden beast` number, since 1 + 5 + 74 + 5 + 3 + 536 + 2 + 40 = 666.

157453536240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (157453536241) 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 383 ways as a sum of consecutive naturals, for example, 869908950 + ... + 869909130.

Almost surely, 2157453536240 is an apocalyptic number.

157453536240 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 157453536240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383267469312).

157453536240 is an abundant number, since it is smaller than the sum of its proper divisors (609081402384).

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

157453536240 is a wasteful number, since it uses less digits than its factorization.

157453536240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 157453536240 in words is "one hundred fifty-seven billion, four hundred fifty-three million, five hundred thirty-six thousand, two hundred forty".