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272073672896 = 266768392899
BaseRepresentation
bin1111110101100011011…
…0101100100011000000
3222000021021121121210212
43331120312230203000
513424201330013041
6324553335013252
725441145030144
oct3753066544300
9860237547725
10272073672896
11a542754a423
1244890b0a228
131c86c2673bc
14d25028d224
157125b4b8eb
hex3f58dac8c0

272073672896 has 56 divisors (see below), whose sum is σ = 548762529600. Its totient is φ = 133808792832.

The previous prime is 272073672877. The next prime is 272073672901. The reversal of 272073672896 is 698276370272.

272073672896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2882255 + ... + 2975153.

Almost surely, 2272073672896 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 272073672896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274381264800).

272073672896 is an abundant number, since it is smaller than the sum of its proper divisors (276688856704).

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

272073672896 is an equidigital number, since it uses as much as digits as its factorization.

272073672896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93661 (or 93651 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 59.

The spelling of 272073672896 in words is "two hundred seventy-two billion, seventy-three million, six hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 67 134 268 536 683 1072 1366 2144 2732 4288 5464 10928 21856 43712 45761 91522 92899 183044 185798 366088 371596 732176 743192 1464352 1486384 2928704 2972768 5945536 6224233 12448466 24896932 49793864 63450017 99587728 126900034 199175456 253800068 398350912 507600136 1015200272 2030400544 4060801088 4251151139 8502302278 17004604556 34009209112 68018418224 136036836448 272073672896