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98611700625 = 3254532792
BaseRepresentation
bin101101111010110110…
…1110010001110010001
3100102112102022102112100
41123311231302032101
53103424043410000
6113145050551013
710060455424314
oct1336555621621
9312472272470
1098611700625
1138903809249
1217140a38469
1393b6cc9919
144ab691697b
152872406a00
hex16f5b72391

98611700625 has 135 divisors (see below), whose sum is σ = 183739074519. Its totient is φ = 50947416000.

The previous prime is 98611700611. The next prime is 98611700647. The reversal of 98611700625 is 52600711689.

The square root of 98611700625 is 314025.

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

98611700625 is a `hidden beast` number, since 9 + 8 + 6 + 1 + 17 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 54718098561 + 43893602064 = 233919^2 + 209508^2 .

It is not a de Polignac number, because 98611700625 - 213 = 98611692433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1248249336 + ... + 1248249414.

Almost surely, 298611700625 is an apocalyptic number.

98611700625 is the 314025-th square number.

98611700625 is the 157013-rd centered octagonal number.

It is an amenable number.

98611700625 is a deficient number, since it is larger than the sum of its proper divisors (85127373894).

98611700625 is an frugal number, since it uses more digits than its factorization.

98611700625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

It can be divided in two parts, 98611 and 700625, that added together give a square (799236 = 8942).

The spelling of 98611700625 in words is "ninety-eight billion, six hundred eleven million, seven hundred thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 79 125 159 225 237 265 375 395 477 625 711 795 1125 1185 1325 1875 1975 2385 2809 3555 3975 4187 5625 5925 6241 6625 8427 9875 11925 12561 14045 17775 18723 19875 20935 25281 29625 31205 33125 37683 42135 49375 56169 59625 62805 70225 88875 93615 99375 104675 126405 148125 156025 188415 210675 221911 280845 298125 314025 330773 351125 444375 468075 523375 632025 665733 780125 942075 992319 1053375 1109555 1404225 1570125 1653865 1755625 1997199 2340375 2616875 2976957 3160125 3328665 3900625 4710375 4961595 5266875 5547775 7021125 7850625 8269325 9985995 11701875 14884785 15800625 16643325 17530969 23551875 24807975 27738875 35105625 41346625 49929975 52592907 74423925 83216625 87654845 124039875 138694375 157778721 206733125 249649875 262964535 372119625 416083125 438274225 620199375 788893605 1248249375 1314822675 1860598125 2191371125 3944468025 6574113375 10956855625 19722340125 32870566875 98611700625