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109910814784 = 2629214292
BaseRepresentation
bin110011001011100110…
…0011111000001000000
3101111200212120220020221
41212113030133001000
53300044132033114
6122254202112424
710640456340151
oct1462714370100
9344625526227
10109910814784
1142681875a21
1219374aab714
13a497ba1aa4
145469409928
152cd437c524
hex199731f040

109910814784 has 63 divisors (see below), whose sum is σ = 226042631607. Its totient is φ = 53023262208.

The previous prime is 109910814773. The next prime is 109910814829. The reversal of 109910814784 is 487418019901.

The square root of 109910814784 is 331528.

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 25113374784 + 84797440000 = 158472^2 + 291200^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 76913782 + ... + 76915210.

Almost surely, 2109910814784 is an apocalyptic number.

109910814784 is the 331528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109910814784

109910814784 is an abundant number, since it is smaller than the sum of its proper divisors (116131816823).

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

109910814784 is an frugal number, since it uses more digits than its factorization.

109910814784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 52.

The spelling of 109910814784 in words is "one hundred nine billion, nine hundred ten million, eight hundred fourteen thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 841 928 1429 1682 1856 2858 3364 5716 6728 11432 13456 22864 26912 41441 45728 53824 82882 91456 165764 331528 663056 1201789 1326112 2042041 2403578 2652224 4084082 4807156 8168164 9614312 16336328 19228624 32672656 38457248 59219189 65345312 76914496 118438378 130690624 236876756 473753512 947507024 1717356481 1895014048 3434712962 3790028096 6869425924 13738851848 27477703696 54955407392 109910814784