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7345111680 = 273251275193
BaseRepresentation
bin1101101011100110…
…11000001010000000
3200221220010100000100
412311303120022000
5110020322033210
63212503122400
7350006263524
oct66563301200
920856110010
107345111680
11312a140135
12150ba43400
1390096a13a
144d9713d84
152cec895c0
hex1b5cd8280

7345111680 has 96 divisors (see below), whose sum is σ = 25363608660. Its totient is φ = 1958694912.

The previous prime is 7345111679. The next prime is 7345111717. The reversal of 7345111680 is 861115437.

It can be written as a sum of positive squares in 2 ways, for example, as 6804270144 + 540841536 = 82488^2 + 23256^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 631837 + ... + 643356.

Almost surely, 27345111680 is an apocalyptic number.

It is an amenable number.

7345111680 is an abundant number, since it is smaller than the sum of its proper divisors (18018496980).

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

7345111680 is a wasteful number, since it uses less digits than its factorization.

7345111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275218 (or 1275203 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 7345111680 is about 85703.6269944277. The cubic root of 7345111680 is about 1943.8651534774.

It can be divided in two parts, 7345 and 111680, that added together give a square (119025 = 3452).

The spelling of 7345111680 in words is "seven billion, three hundred forty-five million, one hundred eleven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 1275193 2550386 3825579 5100772 6375965 7651158 10201544 11476737 12751930 15302316 19127895 20403088 22953474 25503860 30604632 38255790 40806176 45906948 51007720 57383685 61209264 76511580 81612352 91813896 102015440 114767370 122418528 153023160 163224704 183627792 204030880 229534740 244837056 306046320 367255584 408061760 459069480 489674112 612092640 734511168 816123520 918138960 1224185280 1469022336 1836277920 2448370560 3672555840 7345111680