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12901683384 = 23321728137511
BaseRepresentation
bin11000000010000000…
…00001000010111000
31020022010210102102100
430001000001002320
5202410312332014
65532115503400
7634500333162
oct140100010270
936263712370
1012901683384
115520733757
1226008b7b60
1312a7bca4a5
148a5695932
155079d1009
hex3010010b8

12901683384 has 96 divisors (see below), whose sum is σ = 37130127840. Its totient is φ = 4033075200.

The previous prime is 12901683383. The next prime is 12901683391. The reversal of 12901683384 is 48338610921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12901683383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325189 + ... + 362699.

It is an arithmetic number, because the mean of its divisors is an integer number (386772165).

Almost surely, 212901683384 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 12901683384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18565063920).

12901683384 is an abundant number, since it is smaller than the sum of its proper divisors (24228444456).

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

12901683384 is a wasteful number, since it uses less digits than its factorization.

12901683384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37821 (or 37814 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12901683384 in words is "twelve billion, nine hundred one million, six hundred eighty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 281 306 408 562 612 843 1124 1224 1686 2248 2529 3372 4777 5058 6744 9554 10116 14331 19108 20232 28662 37511 38216 42993 57324 75022 85986 112533 114648 150044 171972 225066 300088 337599 343944 450132 637687 675198 900264 1275374 1350396 1913061 2550748 2700792 3826122 5101496 5739183 7652244 10540591 11478366 15304488 21081182 22956732 31621773 42162364 45913464 63243546 84324728 94865319 126487092 179190047 189730638 252974184 358380094 379461276 537570141 716760188 758922552 1075140282 1433520376 1612710423 2150280564 3225420846 4300561128 6450841692 12901683384