Search a number
-
+
65053553040 = 24325712907451
BaseRepresentation
bin111100100101011111…
…100111000110010000
320012220200201220021100
4330211133213012100
52031212202144130
645515111224400
74462042035330
oct744537470620
9205820656240
1065053553040
1125653042283
1210736378100
136199719468
143211ad50c0
151a5b236c60
hexf257e7190

65053553040 has 120 divisors (see below), whose sum is σ = 249681751488. Its totient is φ = 14869382400.

The previous prime is 65053553011. The next prime is 65053553057. The reversal of 65053553040 is 4035535056.

65053553040 is a `hidden beast` number, since 6 + 50 + 5 + 35 + 530 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 65053552986 and 65053553004.

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 23 ways as a sum of consecutive naturals, for example, 6448686 + ... + 6458765.

Almost surely, 265053553040 is an apocalyptic number.

65053553040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65053553040 is an abundant number, since it is smaller than the sum of its proper divisors (184628198448).

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

65053553040 is a wasteful number, since it uses less digits than its factorization.

65053553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12907477 (or 12907468 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 65053553040 in words is "sixty-five billion, fifty-three million, five hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 12907451 25814902 38722353 51629804 64537255 77444706 90352157 103259608 116167059 129074510 154889412 180704314 193611765 206519216 232334118 258149020 271056471 309778824 361408628 387223530 451760785 464668236 516298040 542112942 580835295 619557648 722817256 774447060 813169413 903521570 929336472 1032596080 1084225884 1161670590 1355282355 1445634512 1548894120 1626338826 1807043140 1858672944 2168451768 2323341180 2710564710 3097788240 3252677652 3614086280 4065847065 4336903536 4646682360 5421129420 6505355304 7228172560 8131694130 9293364720 10842258840 13010710608 16263388260 21684517680 32526776520 65053553040