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157383604224 = 21132711217593
BaseRepresentation
bin1001001010010011001…
…0110011100000000000
3120001020100000110201200
42102210302303200000
510034310200313344
6200145004501200
714241053364120
oct2224462634000
9501210013650
10157383604224
1160822a3a300
122660354a800
1311ac21a5c42
147890244c80
154161e1e069
hex24a4cb3800

157383604224 has 864 divisors, whose sum is σ = 605616691680. Its totient is φ = 38409338880.

The previous prime is 157383604219. The next prime is 157383604243. The reversal of 157383604224 is 422406383751.

157383604224 is a `hidden beast` number, since 1 + 5 + 7 + 38 + 3 + 604 + 2 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 157383604224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 265402072 + ... + 265402664.

It is an arithmetic number, because the mean of its divisors is an integer number (700945245).

Almost surely, 2157383604224 is an apocalyptic number.

157383604224 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 157383604224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302808345840).

157383604224 is an abundant number, since it is smaller than the sum of its proper divisors (448233087456).

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

157383604224 is a wasteful number, since it uses less digits than its factorization.

157383604224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

Adding to 157383604224 its reverse (422406383751), we get a palindrome (579789987975).

The spelling of 157383604224 in words is "one hundred fifty-seven billion, three hundred eighty-three million, six hundred four thousand, two hundred twenty-four".