Search a number
-
+
157229253378 = 23219249192
BaseRepresentation
bin1001001001101110011…
…0000000001100000010
3120000211120120122011200
42102123212000030002
510034001142102003
6200121412322030
714234200413501
oct2223346001402
9500746518150
10157229253378
11607538a621a
122657b913316
1311a99212892
147877946838
1541535d06a3
hex249b980302

157229253378 has 54 divisors (see below), whose sum is σ = 359609806179. Its totient is φ = 49641249384.

The previous prime is 157229253373. The next prime is 157229253403. The reversal of 157229253378 is 873352922751.

157229253378 is a `hidden beast` number, since 15 + 7 + 2 + 2 + 9 + 253 + 378 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78614626689 + 78614626689 = 280383^2 + 280383^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=280383.

It is not an unprimeable number, because it can be changed into a prime (157229253373) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 31961203 + ... + 31966121.

Almost surely, 2157229253378 is an apocalyptic number.

157229253378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157229253378

157229253378 is an abundant number, since it is smaller than the sum of its proper divisors (202380552801).

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

157229253378 is an frugal number, since it uses more digits than its factorization.

157229253378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9884 (or 4943 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 157229253378 in words is "one hundred fifty-seven billion, two hundred twenty-nine million, two hundred fifty-three thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 2166 3249 4919 6498 9838 14757 29514 44271 88542 93461 186922 280383 560766 841149 1682298 1775759 3551518 5327277 10654554 15981831 24196561 31963662 48393122 72589683 145179366 217769049 435538098 459734659 919469318 1379203977 2758407954 4137611931 8275223862 8734958521 17469917042 26204875563 52409751126 78614626689 157229253378