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30463614100 = 22521723337681
BaseRepresentation
bin11100010111110001…
…011101110010010100
32220122001122221100201
4130113301131302110
5444342141122400
621554512550244
72125626306313
oct342761356224
986561587321
1030463614100
1111a12a09187
125aa2252384
132b4644a67a
14168dc4c27a
15bd46a606a
hex717c5dc94

30463614100 has 72 divisors (see below), whose sum is σ = 70033751928. Its totient is φ = 11462246400.

The previous prime is 30463614089. The next prime is 30463614107. The reversal of 30463614100 is 141636403.

It can be written as a sum of positive squares in 12 ways, for example, as 3854174724 + 26609439376 = 62082^2 + 163124^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30463614107) 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 23 ways as a sum of consecutive naturals, for example, 3962260 + ... + 3969940.

It is an arithmetic number, because the mean of its divisors is an integer number (972690999).

Almost surely, 230463614100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30463614100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35016875964).

30463614100 is an abundant number, since it is smaller than the sum of its proper divisors (39570137828).

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

30463614100 is a wasteful number, since it uses less digits than its factorization.

30463614100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10045 (or 10038 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 30463614100 in words is "thirty billion, four hundred sixty-three million, six hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 2333 4666 7681 9332 11665 15362 23330 30724 38405 39661 46660 58325 76810 79322 116650 130577 153620 158644 192025 198305 233300 261154 384050 396610 522308 652885 768100 793220 991525 1305770 1983050 2611540 3264425 3966100 6528850 13057700 17919773 35839546 71679092 89598865 179197730 304636141 358395460 447994325 609272282 895988650 1218544564 1523180705 1791977300 3046361410 6092722820 7615903525 15231807050 30463614100