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6412605312 = 273103197823
BaseRepresentation
bin1011111100011100…
…01001011110000000
3121112220110002202110
411332032021132000
5101113111332222
62540152215320
7314624150211
oct57616113600
917486402673
106412605312
1127a0826313
1212ab69a540
137b2701a19
1444b935408
15277e8b30c
hex17e389780

6412605312 has 128 divisors (see below), whose sum is σ = 17307164160. Its totient is φ = 2103478272.

The previous prime is 6412605307. The next prime is 6412605323. The reversal of 6412605312 is 2135062146.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×64126053122 = 82243013774981234688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6412605312.

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, 7791333 + ... + 7792155.

It is an arithmetic number, because the mean of its divisors is an integer number (135212220).

Almost surely, 26412605312 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 6412605312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8653582080).

6412605312 is an abundant number, since it is smaller than the sum of its proper divisors (10894558848).

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

6412605312 is a wasteful number, since it uses less digits than its factorization.

6412605312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 6412605312 is about 80078.7444457017. The cubic root of 6412605312 is about 1857.8536647971.

Adding to 6412605312 its reverse (2135062146), we get a palindrome (8547667458).

The spelling of 6412605312 in words is "six billion, four hundred twelve million, six hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 197 206 309 384 394 412 591 618 788 823 824 1182 1236 1576 1646 1648 2364 2469 2472 3152 3292 3296 4728 4938 4944 6304 6584 6592 9456 9876 9888 12608 13168 13184 18912 19752 19776 20291 25216 26336 37824 39504 39552 40582 52672 60873 75648 79008 81164 84769 105344 121746 158016 162131 162328 169538 243492 254307 316032 324262 324656 339076 486393 486984 508614 648524 649312 678152 972786 973968 1017228 1297048 1298624 1356304 1945572 1947936 2034456 2594096 2597248 2712608 3891144 3895872 4068912 5188192 5425216 7782288 7791744 8137824 10376384 10850432 15564576 16275648 16699493 20752768 31129152 32551296 33398986 50098479 62258304 66797972 100196958 133595944 200393916 267191888 400787832 534383776 801575664 1068767552 1603151328 2137535104 3206302656 6412605312