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81373473680 = 2455331096173
BaseRepresentation
bin100101111001000111…
…1001010101110010000
321210001001112202200112
41023302033022232100
52313123102124210
6101214335540452
75610340054022
oct1136217125620
9253031482615
1081373473680
11315682281a4
121392b98a728
13789a856735
143d1d344012
1521b3d73d05
hex12f23cab90

81373473680 has 80 divisors (see below), whose sum is σ = 192856250160. Its totient is φ = 31919806464.

The previous prime is 81373473661. The next prime is 81373473683. The reversal of 81373473680 is 8637437318.

It can be written as a sum of positive squares in 8 ways, for example, as 17328036496 + 64045437184 = 131636^2 + 253072^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (81373473683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13179074 + ... + 13185246.

It is an arithmetic number, because the mean of its divisors is an integer number (2410703127).

Almost surely, 281373473680 is an apocalyptic number.

81373473680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81373473680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96428125080).

81373473680 is an abundant number, since it is smaller than the sum of its proper divisors (111482776480).

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

81373473680 is a wasteful number, since it uses less digits than its factorization.

81373473680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9348 (or 9342 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 50.

The spelling of 81373473680 in words is "eighty-one billion, three hundred seventy-three million, four hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 3109 4240 6173 6218 12346 12436 15545 24692 24872 30865 31090 49384 49744 61730 62180 98768 123460 124360 164777 246920 248720 327169 329554 493840 654338 659108 823885 1308676 1318216 1635845 1647770 2617352 2636432 3271690 3295540 5234704 6543380 6591080 13086760 13182160 19191857 26173520 38383714 76767428 95959285 153534856 191918570 307069712 383837140 767674280 1017168421 1535348560 2034336842 4068673684 5085842105 8137347368 10171684210 16274694736 20343368420 40686736840 81373473680