Search a number
-
+
54916689120 = 2535114409769
BaseRepresentation
bin110011001001010010…
…100010110011100000
312020202020102212010220
4303021102202303200
51344432133022440
641121155123040
73652613104236
oct631122426340
9166666385126
1054916689120
1121321048397
12a7875a3480
13524257c227
14292d706956
1516663418d0
hexcc94a2ce0

54916689120 has 48 divisors (see below), whose sum is σ = 172987572240. Its totient is φ = 14644450304.

The previous prime is 54916689103. The next prime is 54916689169. The reversal of 54916689120 is 2198661945.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57204405 + ... + 57205364.

It is an arithmetic number, because the mean of its divisors is an integer number (3603907755).

Almost surely, 254916689120 is an apocalyptic number.

It is an amenable number.

54916689120 is an abundant number, since it is smaller than the sum of its proper divisors (118070883120).

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

54916689120 is a wasteful number, since it uses less digits than its factorization.

54916689120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114409787 (or 114409779 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 54916689120 in words is "fifty-four billion, nine hundred sixteen million, six hundred eighty-nine thousand, one hundred twenty".

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 114409769 228819538 343229307 457639076 572048845 686458614 915278152 1144097690 1372917228 1716146535 1830556304 2288195380 2745834456 3432293070 3661112608 4576390760 5491668912 6864586140 9152781520 10983337824 13729172280 18305563040 27458344560 54916689120