Search a number
-
+
613480308960 = 25351278083977
BaseRepresentation
bin10001110110101100100…
…01101010000011100000
32011122111111102200222110
420323112101222003200
540022401424341320
61145455020035320
762215420405221
oct10732621520340
92148444380873
10613480308960
112171a2706202
129aa91392b40
1345b0a6ab69c
142199a71b248
1510e585485e0
hex8ed646a0e0

613480308960 has 48 divisors (see below), whose sum is σ = 1932462974736. Its totient is φ = 163594748928.

The previous prime is 613480308943. The next prime is 613480309003. The reversal of 613480308960 is 69803084316.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 639041509 + ... + 639042468.

It is an arithmetic number, because the mean of its divisors is an integer number (40259645307).

Almost surely, 2613480308960 is an apocalyptic number.

613480308960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

613480308960 is an abundant number, since it is smaller than the sum of its proper divisors (1318982665776).

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

613480308960 is a wasteful number, since it uses less digits than its factorization.

613480308960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278083995 (or 1278083987 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 613480308960 in words is "six hundred thirteen billion, four hundred eighty million, three hundred eight thousand, nine hundred sixty".

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 1278083977 2556167954 3834251931 5112335908 6390419885 7668503862 10224671816 12780839770 15337007724 19171259655 20449343632 25561679540 30674015448 38342519310 40898687264 51123359080 61348030896 76685038620 102246718160 122696061792 153370077240 204493436320 306740154480 613480308960