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716638437025 = 5272194672
BaseRepresentation
bin10100110110110101111…
…10101011111010100001
32112111202202122120111021
422123122332223322201
543220133414441100
61305115200445441
7102526653131200
oct12333276537241
92474682576437
10716638437025
11256a197956a5
12b6a80919881
135276a589054
1426984d87237
1513994b5ea1a
hexa6dafabea1

716638437025 has 135 divisors (see below), whose sum is σ = 1107671297859. Its totient is φ = 458597129760.

The previous prime is 716638437019. The next prime is 716638437037. The reversal of 716638437025 is 520734836617.

The square root of 716638437025 is 846545.

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

It can be written as a sum of positive squares in only one way, i.e., 257989837329 + 458648599696 = 507927^2 + 677236^2 .

It is not a de Polignac number, because 716638437025 - 29 = 716638436513 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10696096042 + ... + 10696096108.

Almost surely, 2716638437025 is an apocalyptic number.

716638437025 is the 846545-th square number.

716638437025 is the 423273-rd centered octagonal number.

It is an amenable number.

716638437025 is a deficient number, since it is larger than the sum of its proper divisors (391032860834).

716638437025 is an frugal number, since it uses more digits than its factorization.

716638437025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 716638437025 in words is "seven hundred sixteen billion, six hundred thirty-eight million, four hundred thirty-seven thousand, twenty-five".

Divisors: 1 5 7 19 25 35 49 67 95 133 175 245 335 361 469 475 665 931 1225 1273 1675 1805 2345 2527 3283 3325 4489 4655 6365 6859 8911 9025 11725 12635 16415 17689 22445 23275 24187 31423 31825 34295 44555 48013 62377 63175 82075 85291 88445 112225 120935 130321 157115 169309 171475 219961 222775 240065 311885 336091 426455 442225 459553 597037 604675 651605 785575 846545 912247 1099805 1185163 1200325 1559425 1620529 1680455 2132275 2297765 2985185 3216871 3258025 4179259 4232725 4561235 5499025 5925815 6385729 8102645 8402275 8731507 11343703 11488825 14925925 16084355 20896295 22518097 22806175 29629075 30790051 31928645 40513225 43657535 56718515 61120549 79405921 80421775 104481475 112590485 153950255 159643225 215530357 218287675 283592575 305602745 397029605 427843843 562952425 585010969 769751275 1077651785 1508712499 1528013725 1985148025 2139219215 2925054845 4095076783 5388258925 7543562495 10696096075 14625274225 20475383915 28665537481 37717812475 102376919575 143327687405 716638437025