Search a number
-
+
157644774144 = 283211131925183
BaseRepresentation
bin1001001011010001011…
…1000101101100000000
3120001220112110021111200
42102310113011230000
510040324030233034
6200230534341200
714250404320344
oct2226427055400
9501815407450
10157644774144
1160947402110
1226676aba800
1311b34329860
1478b6bcb624
154179d0ca99
hex24b45c5b00

157644774144 has 432 divisors, whose sum is σ = 562118968320. Its totient is φ = 41773916160.

The previous prime is 157644774139. The next prime is 157644774179. The reversal of 157644774144 is 441477446751.

157644774144 is a `hidden beast` number, since 1 + 57 + 6 + 447 + 7 + 4 + 144 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6247377 + ... + 6272559.

Almost surely, 2157644774144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157644774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281059484160).

157644774144 is an abundant number, since it is smaller than the sum of its proper divisors (404474194176).

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

157644774144 is a wasteful number, since it uses less digits than its factorization.

157644774144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25248 (or 25231 counting only the distinct ones).

The product of its digits is 10536960, while the sum is 54.

The spelling of 157644774144 in words is "one hundred fifty-seven billion, six hundred forty-four million, seven hundred seventy-four thousand, one hundred forty-four".