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7215168680 = 2351929467701
BaseRepresentation
bin1101011100000111…
…01011110010101000
3200121211121112201122
412232003223302220
5104234040344210
63151542034412
7343540631126
oct65603536250
920554545648
107215168680
113072858025
121494418a08
138aca715a5
144c636a916
152c366cb55
hex1ae0ebca8

7215168680 has 128 divisors (see below), whose sum is σ = 17740944000. Its totient is φ = 2630476800.

The previous prime is 7215168647. The next prime is 7215168689. The reversal of 7215168680 is 868615127.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7215168689) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10292330 + ... + 10293030.

It is an arithmetic number, because the mean of its divisors is an integer number (138601125).

Almost surely, 27215168680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7215168680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870472000).

7215168680 is an abundant number, since it is smaller than the sum of its proper divisors (10525775320).

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

7215168680 is a wasteful number, since it uses less digits than its factorization.

7215168680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 44.

The square root of 7215168680 is about 84942.1490192001. The cubic root of 7215168680 is about 1932.3338550347. Note that the first 3 decimals are identical.

The spelling of 7215168680 in words is "seven billion, two hundred fifteen million, one hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 290 380 467 551 580 701 760 934 1102 1160 1402 1868 2204 2335 2755 2804 3505 3736 4408 4670 5510 5608 7010 8873 9340 11020 13319 13543 14020 17746 18680 20329 22040 26638 27086 28040 35492 40658 44365 53276 54172 66595 67715 70984 81316 88730 101645 106552 108344 133190 135430 162632 177460 203290 257317 266380 270860 327367 354920 386251 406580 514634 532760 541720 654734 772502 813160 1029268 1286585 1309468 1545004 1636835 1931255 2058536 2573170 2618936 3090008 3273670 3862510 5146340 6219973 6547340 7725020 9493643 10292680 12439946 13094680 15450040 18987286 24879892 31099865 37974572 47468215 49759784 62199730 75949144 94936430 124399460 180379217 189872860 248798920 360758434 379745720 721516868 901896085 1443033736 1803792170 3607584340 7215168680