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30513148458 = 23131921197579
BaseRepresentation
bin11100011010101110…
…011011001000101010
32220202111212112201120
4130122232123020222
5444442331222313
622003442400110
72130100324332
oct343256331052
986674775646
1030513148458
1111a38971071
125ab6960036
132b537a1b40
1416966640c2
15bd8bdcd23
hex71ab9b22a

30513148458 has 64 divisors (see below), whose sum is σ = 69508185600. Its totient is φ = 8852276160.

The previous prime is 30513148433. The next prime is 30513148459. The reversal of 30513148458 is 85484131503.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30513148459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263913 + ... + 361491.

It is an arithmetic number, because the mean of its divisors is an integer number (1086065400).

Almost surely, 230513148458 is an apocalyptic number.

30513148458 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30513148458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34754092800).

30513148458 is an abundant number, since it is smaller than the sum of its proper divisors (38995037142).

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

30513148458 is a wasteful number, since it uses less digits than its factorization.

30513148458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97827.

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 30513148458 in words is "thirty billion, five hundred thirteen million, one hundred forty-eight thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 211 247 422 494 633 741 1266 1482 2743 4009 5486 8018 8229 12027 16458 24054 52117 97579 104234 156351 195158 292737 312702 585474 1268527 1854001 2537054 3708002 3805581 5562003 7611162 11124006 20589169 24102013 41178338 48204026 61767507 72306039 123535014 144612078 267659197 391194211 535318394 782388422 802977591 1173582633 1605955182 2347165266 5085524743 10171049486 15256574229 30513148458