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54494000160 = 2535145977813
BaseRepresentation
bin110010110000000110…
…000111010000100000
312012122210002000220020
4302300012013100200
51343100431001120
641011215313440
73636261234015
oct626006072040
9165583060806
1054494000160
1121124495976
12a689b1b880
1351a5b25612
1428cd51770c
15163e19a640
hexcb0187420

54494000160 has 96 divisors (see below), whose sum is σ = 171775961280. Its totient is φ = 14521586688.

The previous prime is 54494000153. The next prime is 54494000161. The reversal of 54494000160 is 6100049445.

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

It is not an unprimeable number, because it can be changed into a prime (54494000161) 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, 661414 + ... + 739226.

It is an arithmetic number, because the mean of its divisors is an integer number (1789332930).

Almost surely, 254494000160 is an apocalyptic number.

It is a pronic number, being equal to 233439×233440.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54494000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85887980640).

54494000160 is an abundant number, since it is smaller than the sum of its proper divisors (117281961120).

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

54494000160 is a wasteful number, since it uses less digits than its factorization.

54494000160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79290 (or 79282 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 54494000160 in words is "fifty-four billion, four hundred ninety-four million, one hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1459 2918 4377 5836 7295 8754 11672 14590 17508 21885 23344 29180 35016 43770 46688 58360 70032 77813 87540 116720 140064 155626 175080 233439 233440 311252 350160 389065 466878 622504 700320 778130 933756 1167195 1245008 1556260 1867512 2334390 2490016 3112520 3735024 4668780 6225040 7470048 9337560 12450080 18675120 37350240 113529167 227058334 340587501 454116668 567645835 681175002 908233336 1135291670 1362350004 1702937505 1816466672 2270583340 2724700008 3405875010 3632933344 4541166680 5449400016 6811750020 9082333360 10898800032 13623500040 18164666720 27247000080 54494000160