Search a number
-
+
672945487440 = 24358419333049
BaseRepresentation
bin10011100101011101010…
…11010011111001010000
32101022222201122202112020
421302232223103321100
542011143021044230
61233051421131440
766422134156422
oct11625653237120
92338881582466
10672945487440
1123a438202a06
12aa5080b9b80
134b5c63b1025
14247dc152812
1512788d55810
hex9caead3e50

672945487440 has 80 divisors (see below), whose sum is σ = 2086385064000. Its totient is φ = 179430276096.

The previous prime is 672945487439. The next prime is 672945487453. The reversal of 672945487440 is 44784549276.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1854036 + ... + 2187084.

It is an arithmetic number, because the mean of its divisors is an integer number (26079813300).

Almost surely, 2672945487440 is an apocalyptic number.

672945487440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

672945487440 is an abundant number, since it is smaller than the sum of its proper divisors (1413439576560).

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

672945487440 is a wasteful number, since it uses less digits than its factorization.

672945487440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341484 (or 341478 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 60.

The spelling of 672945487440 in words is "six hundred seventy-two billion, nine hundred forty-five million, four hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8419 16838 25257 33676 42095 50514 67352 84190 101028 126285 134704 168380 202056 252570 333049 336760 404112 505140 666098 673520 999147 1010280 1332196 1665245 1998294 2020560 2664392 3330490 3996588 4995735 5328784 6660980 7993176 9991470 13321960 15986352 19982940 26643920 39965880 79931760 2803939531 5607879062 8411818593 11215758124 14019697655 16823637186 22431516248 28039395310 33647274372 42059092965 44863032496 56078790620 67294548744 84118185930 112157581240 134589097488 168236371860 224315162480 336472743720 672945487440