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30478138368 = 210310396323
BaseRepresentation
bin11100011000101000…
…110111110000000000
32220200001222211220120
4130120220313300000
5444404400411433
622000152140240
72126163621156
oct343050676000
986601884816
1030478138368
1111a20129507
125aa7097680
132b49464602
141691b4d3d6
15bd5ac47b3
hex718a37c00

30478138368 has 88 divisors (see below), whose sum is σ = 82024894848. Its totient is φ = 10060640256.

The previous prime is 30478138367. The next prime is 30478138387. The reversal of 30478138368 is 86383187403.

It is a self number, because there is not a number n which added to its sum of digits gives 30478138368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30478138367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268255 + ... + 364577.

Almost surely, 230478138368 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 30478138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41012447424).

30478138368 is an abundant number, since it is smaller than the sum of its proper divisors (51546756480).

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

30478138368 is a wasteful number, since it uses less digits than its factorization.

30478138368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96449 (or 96431 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 30478138368 in words is "thirty billion, four hundred seventy-eight million, one hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 512 618 768 824 1024 1236 1536 1648 2472 3072 3296 4944 6592 9888 13184 19776 26368 39552 52736 79104 96323 105472 158208 192646 288969 316416 385292 577938 770584 1155876 1541168 2311752 3082336 4623504 6164672 9247008 9921269 12329344 18494016 19842538 24658688 29763807 36988032 39685076 49317376 59527614 73976064 79370152 98634752 119055228 147952128 158740304 238110456 295904256 317480608 476220912 634961216 952441824 1269922432 1904883648 2539844864 3809767296 5079689728 7619534592 10159379456 15239069184 30478138368