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545422321664 = 2111131377351
BaseRepresentation
bin1111110111111011011…
…01000010100000000000
31221010211102022201201022
413323331231002200000
532414011103243124
61054321421125012
754256034145203
oct7737555024000
91833742281638
10545422321664
111a0348755010
12898589b9768
133c5826b759c
141c5819c793a
15e2c3693c5e
hex7efdb42800

545422321664 has 96 divisors (see below), whose sum is σ = 1193538265920. Its totient is φ = 247123968000.

The previous prime is 545422321621. The next prime is 545422321687. The reversal of 545422321664 is 466123224545.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7012589 + ... + 7089939.

It is an arithmetic number, because the mean of its divisors is an integer number (12432690270).

Almost surely, 2545422321664 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 545422321664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596769132960).

545422321664 is an abundant number, since it is smaller than the sum of its proper divisors (648115944256).

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

545422321664 is a wasteful number, since it uses less digits than its factorization.

545422321664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77697 (or 77677 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 44.

The spelling of 545422321664 in words is "five hundred forty-five billion, four hundred twenty-two million, three hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 313 352 512 626 704 1024 1252 1408 2048 2504 2816 3443 5008 5632 6886 10016 11264 13772 20032 22528 27544 40064 55088 77351 80128 110176 154702 160256 220352 309404 320512 440704 618808 641024 850861 881408 1237616 1701722 1762816 2475232 3403444 3525632 4950464 6806888 7051264 9900928 13613776 19801856 24210863 27227552 39603712 48421726 54455104 79207424 96843452 108910208 158414848 193686904 217820416 266319493 387373808 435640832 532638986 774747616 871281664 1065277972 1549495232 1742563328 2130555944 3098990464 4261111888 6197980928 8522223776 12395961856 17044447552 24791923712 34088895104 49583847424 68177790208 136355580416 272711160832 545422321664