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7697132640 = 253255345231
BaseRepresentation
bin1110010101100100…
…01110110001100000
3201212102111211222200
413022302032301200
5111230431221030
63311440133200
7361512355641
oct71262166140
921772454880
107697132640
11329a91574a
1215a9907200
13958880172
145303896c8
15300b21d60
hex1cac8ec60

7697132640 has 72 divisors (see below), whose sum is σ = 26266470048. Its totient is φ = 2052568320.

The previous prime is 7697132627. The next prime is 7697132669. The reversal of 7697132640 is 462317967.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×76971326403 (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2671176 + ... + 2674055.

It is an arithmetic number, because the mean of its divisors is an integer number (364812084).

Almost surely, 27697132640 is an apocalyptic number.

It is an amenable number.

7697132640 is an abundant number, since it is smaller than the sum of its proper divisors (18569337408).

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

7697132640 is a wasteful number, since it uses less digits than its factorization.

7697132640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345252 (or 5345241 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 7697132640 is about 87733.3040526800. The cubic root of 7697132640 is about 1974.4356783259.

The spelling of 7697132640 in words is "seven billion, six hundred ninety-seven million, one hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 5345231 10690462 16035693 21380924 26726155 32071386 42761848 48107079 53452310 64142772 80178465 85523696 96214158 106904620 128285544 160356930 171047392 192428316 213809240 240535395 256571088 320713860 384856632 427618480 481070790 513142176 641427720 769713264 855236960 962141580 1282855440 1539426528 1924283160 2565710880 3848566320 7697132640