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81729266099776 = 2611300532
BaseRepresentation
bin10010100101010100010011…
…110111111010011001000000
3101201101020112002002202101021
4102211110103313322121000
541203023014110143101
6445453523450315224
723133513255336061
oct2245242367723100
9351336462082337
1081729266099776
1124050207043649
1291bb819a28b14
13367b0628b1399
141627a090aa568
1596ae747145a1
hex4a5513dfa640

81729266099776 has 21 divisors (see below), whose sum is σ = 162181655933601. Its totient is φ = 40864596888192.

The previous prime is 81729266099743. The next prime is 81729266099777. The reversal of 81729266099776 is 67799066292718.

The square root of 81729266099776 is 9040424.

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., 81091465806400 + 637800293376 = 9005080^2 + 798624^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 81729266099696 and 81729266099705.

It is not an unprimeable number, because it can be changed into a prime (81729266099777) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 71758366 + ... + 72888418.

Almost surely, 281729266099776 is an apocalyptic number.

81729266099776 is the 9040424-th square number.

It is an amenable number.

81729266099776 is a deficient number, since it is larger than the sum of its proper divisors (80452389833825).

81729266099776 is an frugal number, since it uses more digits than its factorization.

81729266099776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260118 (or 1130055 counting only the distinct ones).

The product of its (nonzero) digits is 1728324864, while the sum is 79.

The spelling of 81729266099776 in words is "eighty-one trillion, seven hundred twenty-nine billion, two hundred sixty-six million, ninety-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 1130053 2260106 4520212 9040424 18080848 36161696 72323392 1277019782809 2554039565618 5108079131236 10216158262472 20432316524944 40864633049888 81729266099776