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245995020479 = 131923373133739
BaseRepresentation
bin1110010100011001110…
…0100010000010111111
3212111221211000211001102
43211012130202002333
513012244211123404
6305001503003315
723525662113425
oct3450634420277
9774854024042
10245995020479
119536485991a
123b81329953b
131a274415b20
14bc98963115
1565eb40d71e
hex39467220bf

245995020479 has 64 divisors (see below), whose sum is σ = 299884569600. Its totient is φ = 199513746432.

The previous prime is 245995020451. The next prime is 245995020487. The reversal of 245995020479 is 974020599542.

245995020479 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 245995020479 - 212 = 245995016383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245995020449) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 65789792 + ... + 65793530.

It is an arithmetic number, because the mean of its divisors is an integer number (4685696400).

Almost surely, 2245995020479 is an apocalyptic number.

245995020479 is a deficient number, since it is larger than the sum of its proper divisors (53889549121).

245995020479 is a wasteful number, since it uses less digits than its factorization.

245995020479 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144.

The product of its (nonzero) digits is 8164800, while the sum is 56.

The spelling of 245995020479 in words is "two hundred forty-five billion, nine hundred ninety-five million, twenty thousand, four hundred seventy-nine".

Divisors: 1 13 19 23 37 247 299 313 437 481 703 851 3739 4069 5681 5947 7199 9139 11063 11581 16169 48607 71041 77311 85997 93587 136781 138343 150553 210197 220039 266363 923533 1117961 1170307 1633943 1778153 1798459 2628517 2860507 3181889 3462719 5060897 15213991 21241259 22235833 26917061 34170721 41364557 43301359 60455891 65791661 289065829 349921793 511424159 562917667 785926583 822725821 995931257 6648514067 10695435673 12947106341 18922693883 245995020479