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80067136275 = 32527431637253
BaseRepresentation
bin100101010010001011…
…1111000101100010011
321122200000102221122200
41022210113320230103
52302434141330100
6100440552334243
75533065300120
oct1124427705423
9248600387580
1080067136275
1130a578a1605
12136263a4383
137720010019
143c37a53747
152139330e00
hex12a45f8b13

80067136275 has 144 divisors (see below), whose sum is σ = 168759841536. Its totient is φ = 35526677760.

The previous prime is 80067136249. The next prime is 80067136283. The reversal of 80067136275 is 57263176008.

80067136275 is a `hidden beast` number, since 8 + 0 + 0 + 6 + 7 + 13 + 627 + 5 = 666.

It is not a de Polignac number, because 80067136275 - 25 = 80067136243 is a prime.

It is a super-2 number, since 2×800671362752 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 80067136275.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11035549 + ... + 11042801.

It is an arithmetic number, because the mean of its divisors is an integer number (1171943344).

Almost surely, 280067136275 is an apocalyptic number.

80067136275 is an abundant number, since it is smaller than the sum of its proper divisors (88692705261).

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

80067136275 is a wasteful number, since it uses less digits than its factorization.

80067136275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7482 (or 7474 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 80067136275 in words is "eighty billion, sixty-seven million, one hundred thirty-six thousand, two hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 43 45 63 75 105 129 163 175 215 225 301 315 387 489 525 645 815 903 1075 1141 1467 1505 1575 1935 2445 2709 3225 3423 4075 4515 5705 7009 7253 7335 7525 9675 10269 12225 13545 17115 21027 21759 22575 28525 35045 36265 36675 49063 50771 51345 63081 65277 67725 85575 105135 108795 147189 152313 175225 181325 245315 253855 256725 311879 315405 326385 441567 456939 525675 543975 735945 761565 935637 1182239 1226575 1269275 1559395 1577025 1631925 2183153 2207835 2284695 2806911 3546717 3679725 3807825 4678185 5911195 6549459 7796975 8275673 10640151 10915765 11039175 11423475 14034555 17733585 19648377 23390925 24827019 29555975 32747295 41378365 50836277 53200755 54578825 70172775 74481057 88667925 98241885 124135095 152508831 163736475 206891825 254181385 266003775 355853939 372405285 457526493 491209425 620675475 762544155 1067561817 1270906925 1779269695 1862026425 2287632465 3202685451 3812720775 5337809085 8896348475 11438162325 16013427255 26689045425 80067136275