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6399400212 = 22324167163397
BaseRepresentation
bin1011111010110111…
…10001100100010100
3121111222121012202200
411331123301210110
5101101221301322
62535001204500
7314404001322
oct57533614424
917458535680
106399400212
112794327107
1212a7190730
137aca5a35a
14449c98d12
15276c2d8ac
hex17d6f1914

6399400212 has 144 divisors (see below), whose sum is σ = 16963931712. Its totient is φ = 2032335360.

The previous prime is 6399400211. The next prime is 6399400213. The reversal of 6399400212 is 2120049936.

6399400212 is a `hidden beast` number, since 6 + 39 + 9 + 400 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (6399400211) and next prime (6399400213).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6399400211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16119198 + ... + 16119594.

Almost surely, 26399400212 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 6399400212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481965856).

6399400212 is an abundant number, since it is smaller than the sum of its proper divisors (10564531500).

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

6399400212 is a wasteful number, since it uses less digits than its factorization.

6399400212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6399400212 is about 79996.2512371674. The cubic root of 6399400212 is about 1856.5775322731.

The spelling of 6399400212 in words is "six billion, three hundred ninety-nine million, four hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 67 82 123 134 163 164 201 246 268 326 369 397 402 489 492 603 652 738 794 804 978 1191 1206 1467 1476 1588 1956 2382 2412 2747 2934 3573 4764 5494 5868 6683 7146 8241 10921 10988 13366 14292 16277 16482 20049 21842 24723 26599 26732 32554 32763 32964 40098 43684 48831 49446 53198 60147 64711 65108 65526 79797 80196 97662 98289 98892 106396 120294 129422 131052 146493 159594 194133 195324 196578 239391 240588 258844 292986 319188 388266 393156 447761 478782 582399 585972 776532 895522 957564 1090559 1164798 1343283 1791044 2181118 2329596 2653151 2686566 3271677 4029849 4335637 4362236 5306302 5373132 6543354 7959453 8059698 8671274 9815031 10612604 13006911 13086708 15918906 16119396 17342548 19630062 23878359 26013822 31837812 39020733 39260124 47756718 52027644 78041466 95513436 156082932 177761117 355522234 533283351 711044468 1066566702 1599850053 2133133404 3199700106 6399400212