Search a number
-
+
73008012284077 = 13476011061187387
BaseRepresentation
bin10000100110011010000000…
…101000110101000010101101
3100120111111102220102020201211
4100212122000220311002231
534032130402121042302
6415135230130034421
721243440414131663
oct2046320050650255
9316444386366654
1073008012284077
112129858468a482
128231537718a11
13319781a48b0b0
14140586c902c33
1586918c85ead7
hex426680a350ad

73008012284077 has 32 divisors (see below), whose sum is σ = 80506705918464. Its totient is φ = 65785977792000.

The previous prime is 73008012284021. The next prime is 73008012284093. The reversal of 73008012284077 is 77048221080037.

It is a cyclic number.

It is not a de Polignac number, because 73008012284077 - 227 = 73007878066349 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73008012284077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73008012284017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389517178 + ... + 389704564.

It is an arithmetic number, because the mean of its divisors is an integer number (2515834559952).

Almost surely, 273008012284077 is an apocalyptic number.

It is an amenable number.

73008012284077 is a deficient number, since it is larger than the sum of its proper divisors (7498693634387).

73008012284077 is a wasteful number, since it uses less digits than its factorization.

73008012284077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189109.

The product of its (nonzero) digits is 1053696, while the sum is 49.

The spelling of 73008012284077 in words is "seventy-three trillion, eight billion, twelve million, two hundred eighty-four thousand, seventy-seven".

Divisors: 1 13 47 601 611 1061 7813 13793 28247 49867 187387 367211 637661 648271 2436031 8289593 8807189 29970067 112619587 114493457 198817607 389610871 1464054631 2584628891 5293120589 9344427529 68810567657 119489381807 121477557877 1553361963491 5616000944929 73008012284077