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14899712958 = 23213215973067
BaseRepresentation
bin11011110000001011…
…11001001110111110
31102110101102211201200
431320011321032332
5221003311303313
610502252320330
71035141320244
oct157005711676
942411384650
1014899712958
116356554969
122a79a730a6
131535b34a00
14a14b9a794
155c3104b73
hex3781793be

14899712958 has 72 divisors (see below), whose sum is σ = 34990312968. Its totient is φ = 4580162496.

The previous prime is 14899712957. The next prime is 14899712983. The reversal of 14899712958 is 85921799841.

14899712958 is a `hidden beast` number, since 1 + 489 + 97 + 12 + 9 + 58 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14899712895 and 14899712904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14899712957) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4856541 + ... + 4859607.

It is an arithmetic number, because the mean of its divisors is an integer number (485976569).

Almost surely, 214899712958 is an apocalyptic number.

14899712958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14899712958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17495156484).

14899712958 is an abundant number, since it is smaller than the sum of its proper divisors (20090600010).

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

14899712958 is a wasteful number, since it uses less digits than its factorization.

14899712958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4698 (or 4682 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 63.

The spelling of 14899712958 in words is "fourteen billion, eight hundred ninety-nine million, seven hundred twelve thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 1597 3042 3067 3194 4791 6134 9201 9582 14373 18402 20761 27603 28746 39871 41522 55206 62283 79742 119613 124566 186849 239226 269893 358839 373698 518323 539786 717678 809679 1036646 1554969 1619358 2429037 3109938 4664907 4858074 4897999 9329814 9795998 14693997 29387994 44081991 63673987 88163982 127347974 191021961 382043922 573065883 827761831 1146131766 1655523662 2483285493 4966570986 7449856479 14899712958