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157515142068 = 22328397543463
BaseRepresentation
bin1001001010110010100…
…0100101001110110100
3120001120111112021201200
42102230220211032310
510040042334021233
6200210024052500
714244241421304
oct2225450451664
9501514467650
10157515142068
1160890211669
122663b604130
1311b1350c69b
1478a38c5604
15416d753313
hex24aca253b4

157515142068 has 72 divisors (see below), whose sum is σ = 407115403968. Its totient is φ = 51337594368.

The previous prime is 157515142063. The next prime is 157515142087. The reversal of 157515142068 is 860241515751.

157515142068 is a `hidden beast` number, since 1 + 5 + 7 + 51 + 514 + 20 + 68 = 666.

It is a super-2 number, since 2×1575151420682 (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 (157515142063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18105 + ... + 561567.

Almost surely, 2157515142068 is an apocalyptic number.

157515142068 is a gapful number since it is divisible by the number (18) 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 157515142068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203557701984).

157515142068 is an abundant number, since it is smaller than the sum of its proper divisors (249600261900).

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

157515142068 is a wasteful number, since it uses less digits than its factorization.

157515142068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543653 (or 543648 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 157515142068 in words is "one hundred fifty-seven billion, five hundred fifteen million, one hundred forty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 83 97 166 194 249 291 332 388 498 582 747 873 996 1164 1494 1746 2988 3492 8051 16102 24153 32204 48306 72459 96612 144918 289836 543463 1086926 1630389 2173852 3260778 4891167 6521556 9782334 19564668 45107429 52715911 90214858 105431822 135322287 158147733 180429716 210863644 270644574 316295466 405966861 474443199 541289148 632590932 811933722 948886398 1623867444 1897772796 4375420613 8750841226 13126261839 17501682452 26252523678 39378785517 52505047356 78757571034 157515142068