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98272218256 = 2410927192
BaseRepresentation
bin101101110000101111…
…0110000110010010000
3100101122202111221021021
41123201132300302100
53102230141441011
6113051242405224
710046164033642
oct1334136606220
9311582457237
1098272218256
113874a118103
1217067200814
139361886a94
144a837c6892
1528526e9471
hex16e17b0c90

98272218256 has 45 divisors (see below), whose sum is σ = 192432899001. Its totient is φ = 48617606592.

The previous prime is 98272218251. The next prime is 98272218301. The reversal of 98272218256 is 65281227289.

The square root of 98272218256 is 313484.

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., 68495264656 + 29776953600 = 261716^2 + 172560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98272218251) 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 8 ways as a sum of consecutive naturals, for example, 136678665 + ... + 136679383.

Almost surely, 298272218256 is an apocalyptic number.

98272218256 is the 313484-th square number.

It is an amenable number.

98272218256 is a deficient number, since it is larger than the sum of its proper divisors (94160680745).

98272218256 is an frugal number, since it uses more digits than its factorization.

98272218256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 830 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 52.

The spelling of 98272218256 in words is "ninety-eight billion, two hundred seventy-two million, two hundred eighteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 109 218 436 719 872 1438 1744 2876 5752 11504 11881 23762 47524 78371 95048 156742 190096 313484 516961 626968 1033922 1253936 2067844 4135688 8271376 8542439 17084878 34169756 56348749 68339512 112697498 136679024 225394996 450789992 901579984 6142013641 12284027282 24568054564 49136109128 98272218256