Search a number
-
+
81569352672 = 2533175553469
BaseRepresentation
bin100101111110111101…
…0011000101111100000
321210112201010110011000
41023331322120233200
52314023223241142
6101250014152000
75615236025553
oct1137572305740
9253481113130
1081569352672
1131658855a65
12139854b2600
1378cc2ca072
143d3b37269a
1521c616714c
hex12fde98be0

81569352672 has 96 divisors (see below), whose sum is σ = 251905399200. Its totient is φ = 25590380544.

The previous prime is 81569352607. The next prime is 81569352673. The reversal of 81569352672 is 27625396518.

81569352672 is a `hidden beast` number, since 8 + 1 + 569 + 3 + 5 + 2 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×815693526722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81569352673) 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, 2762047 + ... + 2791422.

It is an arithmetic number, because the mean of its divisors is an integer number (2624014575).

Almost surely, 281569352672 is an apocalyptic number.

It is an amenable number.

81569352672 is an abundant number, since it is smaller than the sum of its proper divisors (170336046528).

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

81569352672 is a wasteful number, since it uses less digits than its factorization.

81569352672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5553505 (or 5553491 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 81569352672 in words is "eighty-one billion, five hundred sixty-nine million, three hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 5553469 11106938 16660407 22213876 33320814 44427752 49981221 66641628 88855504 94408973 99962442 133283256 149943663 177711008 188817946 199924884 266566512 283226919 299887326 377635892 399849768 533133024 566453838 599774652 755271784 799699536 849680757 1132907676 1199549304 1510543568 1599399072 1699361514 2265815352 2399098608 2549042271 3021087136 3398723028 4531630704 4798197216 5098084542 6797446056 9063261408 10196169084 13594892112 20392338168 27189784224 40784676336 81569352672