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158838117025 = 52725921932
BaseRepresentation
bin1001001111101101111…
…1010101001010100001
3120011222200221101012011
42103323133111022201
510100300024221100
6200545204032521
714322104501200
oct2237337251241
9504880841164
10158838117025
11613a9a812a5
122694a692741
1311c9462cbc3
14798b4a7237
1541e9980bba
hex24fb7d52a1

158838117025 has 81 divisors (see below), whose sum is σ = 234278866521. Its totient is φ = 106516730880.

The previous prime is 158838116939. The next prime is 158838117029. The reversal of 158838117025 is 520711838851.

The square root of 158838117025 is 398545.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 25545948561 + 133292168464 = 159831^2 + 365092^2 .

It is not a de Polignac number, because 158838117025 - 213 = 158838108833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 158838117025.

It is not an unprimeable number, because it can be changed into a prime (158838117029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 822995329 + ... + 822995521.

Almost surely, 2158838117025 is an apocalyptic number.

158838117025 is the 398545-th square number.

158838117025 is the 199273-rd centered octagonal number.

It is an amenable number.

158838117025 is a deficient number, since it is larger than the sum of its proper divisors (75440749496).

158838117025 is an frugal number, since it uses more digits than its factorization.

158838117025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 49.

Multiplying 158838117025 by its sum of digits (49), we get a square (7783067734225 = 27898152).

158838117025 divided by its sum of digits (49) gives a square (3241594225 = 569352).

The spelling of 158838117025 in words is "one hundred fifty-eight billion, eight hundred thirty-eight million, one hundred seventeen thousand, twenty-five".

Divisors: 1 5 7 25 35 49 59 175 193 245 295 413 965 1225 1351 1475 2065 2891 3481 4825 6755 9457 10325 11387 14455 17405 24367 33775 37249 47285 56935 72275 79709 87025 121835 170569 186245 236425 260743 284675 398545 557963 609175 671833 852845 931225 1303715 1825201 1992725 2197691 2789815 3359165 4264225 4702831 6518575 9126005 10988455 13949075 15383837 16795825 23514155 32919817 45630025 54942275 76919185 107686859 117570775 129663769 164599085 384595925 538434295 648318845 822995425 907646383 2692171475 3241594225 4538231915 6353524681 22691159575 31767623405 158838117025