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6406344252 = 22327113536547
BaseRepresentation
bin1011111011101100…
…10000111000111100
3121112110200000012100
411331312100320330
5101110011004002
62535410105100
7314520012330
oct57566207074
917473600170
106406344252
11279823a290
1212a957b190
137b131bc59
1444ab857c0
1527765111c
hex17dd90e3c

6406344252 has 144 divisors (see below), whose sum is σ = 20249978112. Its totient is φ = 1659018240.

The previous prime is 6406344239. The next prime is 6406344253. The reversal of 6406344252 is 2524436046.

6406344252 is a `hidden beast` number, since 64 + 0 + 6 + 344 + 252 = 666.

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 (6406344253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 975243 + ... + 981789.

It is an arithmetic number, because the mean of its divisors is an integer number (140624848).

Almost surely, 26406344252 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 6406344252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10124989056).

6406344252 is an abundant number, since it is smaller than the sum of its proper divisors (13843633860).

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

6406344252 is a wasteful number, since it uses less digits than its factorization.

6406344252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6928 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 6406344252 is about 80039.6417533212. The cubic root of 6406344252 is about 1857.2488185346.

The spelling of 6406344252 in words is "six billion, four hundred six million, three hundred forty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 353 396 462 693 706 924 1059 1386 1412 2118 2471 2772 3177 3883 4236 4942 6354 6547 7413 7766 9884 11649 12708 13094 14826 15532 19641 22239 23298 26188 27181 29652 34947 39282 44478 45829 46596 54362 58923 69894 72017 78564 81543 88956 91658 108724 117846 137487 139788 144034 163086 183316 216051 235692 244629 274974 288068 326172 412461 432102 489258 504119 549948 648153 824922 864204 978516 1008238 1296306 1512357 1649844 2016476 2311091 2592612 3024714 4537071 4622182 6049428 6933273 9074142 9244364 13866546 16177637 18148284 20799819 25422001 27733092 32355274 41599638 48532911 50844002 64710548 76266003 83199276 97065822 101688004 145598733 152532006 177954007 194131644 228798009 291197466 305064012 355908014 457596018 533862021 582394932 711816028 915192036 1067724042 1601586063 2135448084 3203172126 6406344252