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98292282256 = 2472111972
BaseRepresentation
bin101101110001010101…
…1010011001110010000
3100101201011021021220101
41123202223103032100
53102300311013011
6113053240422144
710046526420400
oct1334253231620
9311634237811
1098292282256
113875a481523
1217071a77954
139365a9037c
144a8632a800
15285435e2c1
hex16e2ad3390

98292282256 has 45 divisors (see below), whose sum is σ = 221553540369. Its totient is φ = 42121501632.

The previous prime is 98292282251. The next prime is 98292282271. The reversal of 98292282256 is 65228229289.

The square root of 98292282256 is 313516.

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., 22566048400 + 75726233856 = 150220^2 + 275184^2 .

It is a super-2 number, since 2×982922822562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 98292282197 and 98292282206.

It is not an unprimeable number, because it can be changed into a prime (98292282251) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8772850 + ... + 8784046.

Almost surely, 298292282256 is an apocalyptic number.

98292282256 is the 313516-th square number.

It is an amenable number.

98292282256 is an abundant number, since it is smaller than the sum of its proper divisors (123261258113).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

98292282256 is an frugal number, since it uses more digits than its factorization.

98292282256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22416 (or 11206 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 55.

The spelling of 98292282256 in words is "ninety-eight billion, two hundred ninety-two million, two hundred eighty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 11197 22394 44788 78379 89576 156758 179152 313516 548653 627032 1097306 1254064 2194612 4389224 8778448 125372809 250745618 501491236 877609663 1002982472 1755219326 2005964944 3510438652 6143267641 7020877304 12286535282 14041754608 24573070564 49146141128 98292282256