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258805830073 = 7832713794337
BaseRepresentation
bin1111000100001000000…
…1111001000110111001
3220202000121211101001211
43301002001321012321
513220013243030243
6314521015043121
724461310154510
oct3610201710671
9822017741054
10258805830073
119a83916476a
12421a96704a1
131b53654672b
14c752121677
156aeae3dd9d
hex3c420791b9

258805830073 has 32 divisors (see below), whose sum is σ = 301308456960. Its totient is φ = 217725822720.

The previous prime is 258805830037. The next prime is 258805830083. The reversal of 258805830073 is 370038508852.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-258805830073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 258805829999 and 258805830026.

It is not an unprimeable number, because it can be changed into a prime (258805830083) 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, 59671761 + ... + 59676097.

It is an arithmetic number, because the mean of its divisors is an integer number (9415889280).

Almost surely, 2258805830073 is an apocalyptic number.

It is an amenable number.

258805830073 is a deficient number, since it is larger than the sum of its proper divisors (42502626887).

258805830073 is a wasteful number, since it uses less digits than its factorization.

258805830073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077.

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 258805830073 in words is "two hundred fifty-eight billion, eight hundred five million, eight hundred thirty thousand, seventy-three".

Divisors: 1 7 83 271 379 581 1897 2653 4337 22493 30359 31457 102709 157451 220199 359971 718963 1175327 1643723 2519797 8227289 8524847 11506061 59673929 97552141 136429009 445448933 682864987 955003063 3118142531 36972261439 258805830073