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54406890594 = 2337230766977
BaseRepresentation
bin110010101010111001…
…110100010001100010
312012102201011102001000
4302222321310101202
51342411130444334
640554424252430
73634152640200
oct625271642142
9165381142030
1054406890594
112108a2a91a1
12a664911116
135190a761b4
1428c1b20070
1516366e0299
hexcaae74462

54406890594 has 96 divisors (see below), whose sum is σ = 141103892160. Its totient is φ = 15493959936.

The previous prime is 54406890569. The next prime is 54406890647. The reversal of 54406890594 is 49509860445.

54406890594 is a `hidden beast` number, since 5 + 4 + 40 + 6 + 8 + 9 + 0 + 594 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54406890594.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 778834 + ... + 845810.

It is an arithmetic number, because the mean of its divisors is an integer number (1469832210).

Almost surely, 254406890594 is an apocalyptic number.

54406890594 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54406890594, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70551946080).

54406890594 is an abundant number, since it is smaller than the sum of its proper divisors (86697001566).

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

54406890594 is a wasteful number, since it uses less digits than its factorization.

54406890594 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67309 (or 67296 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 54406890594 in words is "fifty-four billion, four hundred six million, eight hundred ninety thousand, five hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 307 378 441 614 882 921 1323 1842 2149 2646 2763 4298 5526 6447 8289 12894 15043 16578 19341 30086 38682 45129 58023 66977 90258 116046 133954 135387 200931 270774 401862 406161 468839 602793 812322 937678 1205586 1406517 1808379 2813034 3281873 3616758 4219551 6563746 8439102 9845619 12658653 19691238 20561939 25317306 29536857 41123878 59073714 61685817 88610571 123371634 143933573 177221142 185057451 287867146 370114902 431800719 555172353 863601438 1007535011 1110344706 1295402157 2015070022 2590804314 3022605033 3886206471 6045210066 7772412942 9067815099 18135630198 27203445297 54406890594