Search a number
-
+
28531145658880 = 29543325738981
BaseRepresentation
bin1100111110010111011001…
…10011010101001000000000
310202000112212121010000200001
412133023230303111020000
512214423241242041010
6140403005525005344
76003210246446644
oct637135463251000
9122015777100601
1028531145658880
1190aaa99a12217
12324963ab53854
1312bc624866bc7
14708cb4390c24
15347261e0cc3a
hex19f2eccd5200

28531145658880 has 80 divisors (see below), whose sum is σ = 68565868237944. Its totient is φ = 11386101104640.

The previous prime is 28531145658859. The next prime is 28531145658881. The reversal of 28531145658880 is 8885654113582.

It can be written as a sum of positive squares in 4 ways, for example, as 21527966750976 + 7003178907904 = 4639824^2 + 2646352^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (28531145658881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11761011 + ... + 13977970.

Almost surely, 228531145658880 is an apocalyptic number.

28531145658880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28531145658880 is an abundant number, since it is smaller than the sum of its proper divisors (40034722579064).

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

28531145658880 is an equidigital number, since it uses as much as digits as its factorization.

28531145658880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25739437 (or 25739421 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 64.

The spelling of 28531145658880 in words is "twenty-eight trillion, five hundred thirty-one billion, one hundred forty-five million, six hundred fifty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 433 512 640 866 1280 1732 2165 2560 3464 4330 6928 8660 13856 17320 27712 34640 55424 69280 110848 138560 221696 277120 554240 1108480 25738981 51477962 102955924 128694905 205911848 257389810 411823696 514779620 823647392 1029559240 1647294784 2059118480 3294589568 4118236960 6589179136 8236473920 11144978773 13178358272 16472947840 22289957546 32945895680 44579915092 55724893865 65891791360 89159830184 111449787730 178319660368 222899575460 356639320736 445799150920 713278641472 891598301840 1426557282944 1783196603680 2853114565888 3566393207360 5706229131776 7132786414720 14265572829440 28531145658880