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128246258514 = 231121409125371
BaseRepresentation
bin111011101110000010…
…0101001101101010010
3110021000200221221120110
41313130010221231102
54100122020233024
6134525430222150
712160030132263
oct1673404515522
9407020857513
10128246258514
114a430740200
1220a314b4956
13c12a75cb8a
1462c85d496a
153508de6629
hex1ddc129b52

128246258514 has 48 divisors (see below), whose sum is σ = 282132133920. Its totient is φ = 38834611200.

The previous prime is 128246258507. The next prime is 128246258527. The reversal of 128246258514 is 415852642821.

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 23 ways as a sum of consecutive naturals, for example, 960249 + ... + 1085619.

It is an arithmetic number, because the mean of its divisors is an integer number (5877752790).

Almost surely, 2128246258514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128246258514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141066066960).

128246258514 is an abundant number, since it is smaller than the sum of its proper divisors (153885875406).

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

128246258514 is a wasteful number, since it uses less digits than its factorization.

128246258514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126807 (or 126796 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 48.

It can be divided in two parts, 128246 and 258514, that added together give a triangular number (386760 = T879).

The spelling of 128246258514 in words is "one hundred twenty-eight billion, two hundred forty-six million, two hundred fifty-eight thousand, five hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1409 2818 4227 8454 15499 30998 46497 92994 125371 170489 250742 340978 376113 511467 752226 1022934 1379081 2758162 4137243 8274486 15169891 30339782 45509673 91019346 176647739 353295478 529943217 1059886434 1943125129 3886250258 5829375387 11658750774 21374376419 42748752838 64123129257 128246258514