Search a number
-
+
157727842272 = 253471113313753
BaseRepresentation
bin1001001011100101001…
…1111101111111100000
3120002010022202120120000
42102321103331333200
510041011311423042
6200243103020000
714252433352440
oct2227123757740
9502108676500
10157727842272
116098a289460
122669a89a600
1311b485c25b0
1478c3c52120
15418226a74c
hex24b94fdfe0

157727842272 has 1920 divisors, whose sum is σ = 672748167168. Its totient is φ = 34936012800.

The previous prime is 157727842253. The next prime is 157727842301. The reversal of 157727842272 is 272248727751.

157727842272 is a `hidden beast` number, since 1 + 577 + 2 + 7 + 8 + 42 + 27 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2975996998 + ... + 2975997050.

Almost surely, 2157727842272 is an apocalyptic number.

157727842272 is a gapful number since it is divisible by the number (12) 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 157727842272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336374083584).

157727842272 is an abundant number, since it is smaller than the sum of its proper divisors (515020324896).

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

157727842272 is a wasteful number, since it uses less digits than its factorization.

157727842272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

The product of its digits is 6146560, while the sum is 54.

It can be divided in two parts, 157727 and 842272, that added together give a palindrome (999999).

The spelling of 157727842272 in words is "one hundred fifty-seven billion, seven hundred twenty-seven million, eight hundred forty-two thousand, two hundred seventy-two".