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12395939776 = 2611178312479
BaseRepresentation
bin10111000101101101…
…10000011111000000
31011222220010222121121
423202312300133000
5200341330033101
65410012002024
7616116515053
oct134266603700
934886128547
1012395939776
115291204030
12249b460314
1312271b400c
14858446a9a
154c83d10a1
hex2e2db07c0

12395939776 has 112 divisors (see below), whose sum is σ = 28757514240. Its totient is φ = 5238763520.

The previous prime is 12395939719. The next prime is 12395939783. The reversal of 12395939776 is 67793959321.

It is a super-4 number, since 4×123959397764 (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 987105 + ... + 999583.

It is an arithmetic number, because the mean of its divisors is an integer number (256763520).

Almost surely, 212395939776 is an apocalyptic number.

12395939776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12395939776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14378757120).

12395939776 is an abundant number, since it is smaller than the sum of its proper divisors (16361574464).

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

12395939776 is a wasteful number, since it uses less digits than its factorization.

12395939776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12602 (or 12592 counting only the distinct ones).

The product of its digits is 19289340, while the sum is 61.

The spelling of 12395939776 in words is "twelve billion, three hundred ninety-five million, nine hundred thirty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 83 88 136 166 176 187 272 332 352 374 544 664 704 748 913 1088 1328 1411 1496 1826 2656 2822 2992 3652 5312 5644 5984 7304 11288 11968 12479 14608 15521 22576 24958 29216 31042 45152 49916 58432 62084 90304 99832 124168 137269 199664 212143 248336 274538 399328 424286 496672 549076 798656 848572 993344 1035757 1098152 1697144 2071514 2196304 2333573 3394288 4143028 4392608 4667146 6788576 8286056 8785216 9334292 11393327 13577152 16572112 17607869 18668584 22786654 33144224 35215738 37337168 45573308 66288448 70431476 74674336 91146616 140862952 149348672 182293232 193686559 281725904 364586464 387373118 563451808 729172928 774746236 1126903616 1549492472 3098984944 6197969888 12395939776