Search a number
-
+
157287380013 = 33131179248431
BaseRepresentation
bin1001001001111100001…
…1101111010000101101
3120000222121221202221000
42102133003233100231
510034111032130023
6200131250230513
714235504446061
oct2223703572055
9500877852830
10157287380013
1160783697665
1226597285439
1311aa8284c3a
147881557aa1
154158763243
hex249f0ef42d

157287380013 has 32 divisors (see below), whose sum is σ = 236109772800. Its totient is φ = 103476063600.

The previous prime is 157287379999. The next prime is 157287380053. The reversal of 157287380013 is 310083782751.

157287380013 is a `hidden beast` number, since 1 + 572 + 8 + 73 + 8 + 0 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 157287380013 - 213 = 157287371821 is a prime.

It is a super-2 number, since 2×1572873800132 (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 (157287380053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508908 + ... + 757338.

It is an arithmetic number, because the mean of its divisors is an integer number (7378430400).

Almost surely, 2157287380013 is an apocalyptic number.

It is an amenable number.

157287380013 is a deficient number, since it is larger than the sum of its proper divisors (78822392787).

157287380013 is a wasteful number, since it uses less digits than its factorization.

157287380013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248750 (or 248744 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 157287380013 in words is "one hundred fifty-seven billion, two hundred eighty-seven million, three hundred eighty thousand, thirteen".

Divisors: 1 3 9 27 131 179 393 537 1179 1611 3537 4833 23449 70347 211041 248431 633123 745293 2235879 6707637 32544461 44469149 97633383 133407447 292900149 400222341 878700447 1200667023 5825458519 17476375557 52429126671 157287380013