Search a number
-
+
157849844031 = 321117234077859
BaseRepresentation
bin1001001100000010010…
…1010111100100111111
3120002102211022220111200
42103000211113210333
510041234030002111
6200303141550543
714255444351625
oct2230045274477
9502384286450
10157849844031
1160a42138160
1226713715453
1311b6796a699
1478d612d515
15418cd19256
hex24c095793f

157849844031 has 48 divisors (see below), whose sum is σ = 274815141120. Its totient is φ = 86124360960.

The previous prime is 157849844027. The next prime is 157849844039. The reversal of 157849844031 is 130448948751.

157849844031 is a `hidden beast` number, since 1 + 5 + 7 + 84 + 98 + 440 + 31 = 666.

157849844031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 157849844031 - 22 = 157849844027 is a prime.

It is a super-2 number, since 2×1578498440312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157849844039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2000221 + ... + 2077638.

It is an arithmetic number, because the mean of its divisors is an integer number (5725315440).

Almost surely, 2157849844031 is an apocalyptic number.

157849844031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

157849844031 is a deficient number, since it is larger than the sum of its proper divisors (116965297089).

157849844031 is a wasteful number, since it uses less digits than its factorization.

157849844031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077916 (or 4077913 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 157849844031 in words is "one hundred fifty-seven billion, eight hundred forty-nine million, eight hundred forty-four thousand, thirty-one".

Divisors: 1 3 9 11 17 23 33 51 69 99 153 187 207 253 391 561 759 1173 1683 2277 3519 4301 12903 38709 4077859 12233577 36700731 44856449 69323603 93790757 134569347 207970809 281372271 403708041 623912427 762559633 844116813 1031698327 1594442869 2287678899 3095094981 4783328607 6863036697 9285284943 14349985821 17538871559 52616614677 157849844031