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6981336720 = 243259696301
BaseRepresentation
bin1101000000001111…
…01011111010010000
3200000112121122120200
412200013223322100
5103244210233340
63112430135200
7335001245241
oct64007537220
920015548520
106981336720
112a62867676
12142a051500
138734a0097
144a329ccc8
152acd7e330
hex1a01ebe90

6981336720 has 60 divisors (see below), whose sum is σ = 23445658236. Its totient is φ = 1861689600.

The previous prime is 6981336673. The next prime is 6981336727. The reversal of 6981336720 is 276331896.

It can be written as a sum of positive squares in 2 ways, for example, as 2738638224 + 4242698496 = 52332^2 + 65136^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6981336727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4847431 + ... + 4848870.

Almost surely, 26981336720 is an apocalyptic number.

6981336720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6981336720 is an abundant number, since it is smaller than the sum of its proper divisors (16464321516).

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

6981336720 is a wasteful number, since it uses less digits than its factorization.

6981336720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9696320 (or 9696311 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6981336720 is about 83554.3937803393. The cubic root of 6981336720 is about 1911.2295948516.

The spelling of 6981336720 in words is "six billion, nine hundred eighty-one million, three hundred thirty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 9696301 19392602 29088903 38785204 48481505 58177806 77570408 87266709 96963010 116355612 145444515 155140816 174533418 193926020 232711224 290889030 349066836 387852040 436333545 465422448 581778060 698133672 775704080 872667090 1163556120 1396267344 1745334180 2327112240 3490668360 6981336720