Search a number
-
+
81738572804 = 22729827121721
BaseRepresentation
bin100110000011111111…
…1111010010000000100
321210222111112201112022
41030013333322100010
52314400033312204
6101314501142312
75622362255660
oct1140777722004
9253874481468
1081738572804
1131735325609
1213a120ba998
137928398415
143d55a218a0
1521d5e415be
hex1307ffa404

81738572804 has 48 divisors (see below), whose sum is σ = 169320170880. Its totient is φ = 33781681920.

The previous prime is 81738572791. The next prime is 81738572827. The reversal of 81738572804 is 40827583718.

It is a super-3 number, since 3×817385728043 (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610664 + ... + 732384.

It is an arithmetic number, because the mean of its divisors is an integer number (3527503560).

Almost surely, 281738572804 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 81738572804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84660085440).

81738572804 is an abundant number, since it is smaller than the sum of its proper divisors (87581598076).

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

81738572804 is a wasteful number, since it uses less digits than its factorization.

81738572804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122588 (or 122586 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 53.

The spelling of 81738572804 in words is "eighty-one billion, seven hundred thirty-eight million, five hundred seventy-two thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 827 1654 3308 5789 11578 23156 23983 47966 95932 121721 167881 243442 335762 486884 671524 852047 1704094 3408188 3529909 7059818 14119636 24709363 49418726 98837452 100663267 201326534 402653068 704642869 1409285738 2818571476 2919234743 5838469486 11676938972 20434643201 40869286402 81738572804