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81405967804 = 22737769102181
BaseRepresentation
bin100101111010000101…
…1000111110110111100
321210010022200122020121
41023310023013312330
52313204411432204
6101221500224324
75611213211050
oct1136413076674
9253108618217
1081405967804
1131584601547
121393a83b0a4
1378a44c2a25
143d237a1c60
1521b6b41b54
hex12f42c7dbc

81405967804 has 48 divisors (see below), whose sum is σ = 167431337920. Its totient is φ = 33900871680.

The previous prime is 81405967777. The next prime is 81405967807. The reversal of 81405967804 is 40876950418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81405967807) 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, 745594 + ... + 847774.

Almost surely, 281405967804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81405967804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83715668960).

81405967804 is an abundant number, since it is smaller than the sum of its proper divisors (86025370116).

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

81405967804 is a wasteful number, since it uses less digits than its factorization.

81405967804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102998 (or 102996 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 81405967804 in words is "eighty-one billion, four hundred five million, nine hundred sixty-seven thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 37 74 148 259 518 769 1036 1538 3076 5383 10766 21532 28453 56906 102181 113812 199171 204362 398342 408724 715267 796684 1430534 2861068 3780697 7561394 15122788 26464879 52929758 78577189 105859516 157154378 314308756 550040323 1100080646 2200161292 2907355993 5814711986 11629423972 20351491951 40702983902 81405967804