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157443886080 = 21034513192953
BaseRepresentation
bin1001001010100001100…
…0110000110000000000
3120001101112110002220000
42102220120300300000
510034421113323310
6200155000520000
714242414644015
oct2225030606000
9501345402800
10157443886080
1160853a72a18
122661b780000
1311b01821290
14789825770c
15416737a4c0
hex24a8630c00

157443886080 has 1760 divisors, whose sum is σ = 674104939200. Its totient is φ = 34780741632.

The previous prime is 157443886043. The next prime is 157443886081. The reversal of 157443886080 is 80688344751.

157443886080 is a `hidden beast` number, since 1 + 5 + 74 + 438 + 8 + 60 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157443886081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2970639334 + ... + 2970639386.

It is an arithmetic number, because the mean of its divisors is an integer number (383014170).

Almost surely, 2157443886080 is an apocalyptic number.

157443886080 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 157443886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337052469600).

157443886080 is an abundant number, since it is smaller than the sum of its proper divisors (516661053120).

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

157443886080 is a wasteful number, since it uses less digits than its factorization.

157443886080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 157443886080 in words is "one hundred fifty-seven billion, four hundred forty-three million, eight hundred eighty-six thousand, eighty".