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16831948644 = 22327230892
BaseRepresentation
bin11111010110100001…
…10010011101100100
31121110001021120210100
433223100302131210
5233432434324034
611422115024100
71134053126400
oct175320623544
947401246710
1016831948644
117158218165
123318b9b030
131783244034
14b59656100
15687a7e099
hex3eb432764

16831948644 has 81 divisors (see below), whose sum is σ = 49509972057. Its totient is φ = 4807571328.

The previous prime is 16831948633. The next prime is 16831948663. The reversal of 16831948644 is 44684913861.

The square root of 16831948644 is 129738.

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., 15465907044 + 1366041600 = 124362^2 + 36960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5447452 + ... + 5450540.

Almost surely, 216831948644 is an apocalyptic number.

16831948644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16831948644 is the 129738-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16831948644

16831948644 is an abundant number, since it is smaller than the sum of its proper divisors (32678023413).

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

16831948644 is an equidigital number, since it uses as much as digits as its factorization.

16831948644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6202 (or 3101 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 16831948644 in words is "sixteen billion, eight hundred thirty-one million, nine hundred forty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 3089 6178 9267 12356 18534 21623 27801 37068 43246 55602 64869 86492 111204 129738 151361 194607 259476 302722 389214 454083 605444 778428 908166 1362249 1816332 2724498 5448996 9541921 19083842 28625763 38167684 57251526 66793447 85877289 114503052 133586894 171754578 200380341 267173788 343509156 400760682 467554129 601141023 801521364 935108258 1202282046 1402662387 1870216516 2404564092 2805324774 4207987161 5610649548 8415974322 16831948644