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89194809025 = 5274232532
BaseRepresentation
bin101001100010001101…
…1001100011011000001
322112020010202202202101
41103010123030123001
52430132332342100
6104550414150401
76305221240000
oct1230433143301
9275203682671
1089194809025
1134911165203
12153531b2401
13854607270a
144461dc0c37
1524c082b86a
hex14c46cc6c1

89194809025 has 135 divisors (see below), whose sum is σ = 137474225609. Its totient is φ = 57399101760.

The previous prime is 89194808921. The next prime is 89194809029. The reversal of 89194809025 is 52090849198.

The square root of 89194809025 is 298655.

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 671898241 + 88522910784 = 25921^2 + 297528^2 .

It is not a de Polignac number, because 89194809025 - 27 = 89194808897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (89194809029) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1682920899 + ... + 1682920951.

Almost surely, 289194809025 is an apocalyptic number.

89194809025 is the 298655-th square number.

89194809025 is the 149328-th centered octagonal number.

It is an amenable number.

89194809025 is a deficient number, since it is larger than the sum of its proper divisors (48279416584).

89194809025 is an frugal number, since it uses more digits than its factorization.

89194809025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 55.

The spelling of 89194809025 in words is "eighty-nine billion, one hundred ninety-four million, eight hundred nine thousand, twenty-five".

Divisors: 1 5 7 23 25 35 49 53 115 161 175 245 265 343 371 529 575 805 1127 1219 1225 1325 1715 1855 2401 2597 2645 2809 3703 4025 5635 6095 7889 8533 8575 9275 12005 12985 13225 14045 18179 18515 19663 25921 28037 28175 30475 39445 42665 55223 59731 60025 64607 64925 70225 90895 92575 98315 127253 129605 137641 140185 181447 196259 197225 213325 276115 298655 323035 418117 452249 454475 491575 636265 648025 688205 700925 907235 963487 981295 1270129 1373813 1380575 1485961 1493275 1615175 2090585 2261245 2926819 3165743 3181325 3441025 4536175 4817435 4906475 6350645 6744409 6869065 7429805 9616691 10401727 10452925 11306225 14634095 15828715 22160201 24087175 31753225 33722045 34345325 37149025 48083455 52008635 67316837 72812089 73170475 79143575 110801005 155121407 168610225 240417275 260043175 336584185 364060445 509684623 554005025 775607035 1682920925 1820302225 2548423115 3567792361 3878035175 12742115575 17838961805 89194809025