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59000016896 = 21216578693
BaseRepresentation
bin110110111100101011…
…001101000000000000
312122021210221101210222
4312330223031000000
51431313001020041
643034303042212
74156034604032
oct667453150000
9178253841728
1059000016896
1123026a75a47
12b526ba0368
135743527902
142bd9b4bc52
151804a7674b
hexdbcacd000

59000016896 has 52 divisors (see below), whose sum is σ = 118070414532. Its totient is φ = 29478813696.

The previous prime is 59000016869. The next prime is 59000016949. The reversal of 59000016896 is 69861000095.

It can be written as a sum of positive squares in 2 ways, for example, as 9538256896 + 49461760000 = 97664^2 + 222400^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6782726 + ... + 6791418.

Almost surely, 259000016896 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 59000016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59035207266).

59000016896 is an abundant number, since it is smaller than the sum of its proper divisors (59070397636).

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

59000016896 is an equidigital number, since it uses as much as digits as its factorization.

59000016896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10374 (or 10352 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The spelling of 59000016896 in words is "fifty-nine billion, sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1657 2048 3314 4096 6628 8693 13256 17386 26512 34772 53024 69544 106048 139088 212096 278176 424192 556352 848384 1112704 1696768 2225408 3393536 4450816 6787072 8901632 14404301 17803264 28808602 35606528 57617204 115234408 230468816 460937632 921875264 1843750528 3687501056 7375002112 14750004224 29500008448 59000016896