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81406732608 = 2632141331133
BaseRepresentation
bin100101111010000111…
…0000010100101000000
321210010101010111100200
41023310032002211000
52313210110420413
6101221524445200
75611222544565
oct1136416024500
9253111114320
1081406732608
1131584a84113
121393ab49800
1378a46ccb86
143d2392086c
1521b6c43573
hex12f4382940

81406732608 has 42 divisors (see below), whose sum is σ = 233337702234. Its totient is φ = 27135577344.

The previous prime is 81406732607. The next prime is 81406732609. The reversal of 81406732608 is 80623760418.

81406732608 is a `hidden beast` number, since 8 + 1 + 4 + 0 + 6 + 7 + 32 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (81406732607) and next prime (81406732609).

It can be written as a sum of positive squares in only one way, i.e., 50862878784 + 30543853824 = 225528^2 + 174768^2 .

It is a super-2 number, since 2×814067326082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81406732607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70664991 + ... + 70666142.

It is an arithmetic number, because the mean of its divisors is an integer number (5555659577).

Almost surely, 281406732608 is an apocalyptic number.

It is an amenable number.

81406732608 is an abundant number, since it is smaller than the sum of its proper divisors (151930969626).

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

81406732608 is a wasteful number, since it uses less digits than its factorization.

81406732608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141331151 (or 141331138 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 81406732608 in words is "eighty-one billion, four hundred six million, seven hundred thirty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 141331133 282662266 423993399 565324532 847986798 1130649064 1271980197 1695973596 2261298128 2543960394 3391947192 4522596256 5087920788 6783894384 9045192512 10175841576 13567788768 20351683152 27135577536 40703366304 81406732608