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6906018132 = 22321347615147
BaseRepresentation
bin1100110111010000…
…10111100101010100
3122211021220001220100
412123220113211110
5103120420040012
63101135534100
7333065120436
oct63350274524
918737801810
106906018132
112a242a3702
12140898a330
138609bb780
14497294656
152a64528dc
hex19ba17954

6906018132 has 144 divisors (see below), whose sum is σ = 19518250752. Its totient is φ = 2045226240.

The previous prime is 6906018127. The next prime is 6906018151. The reversal of 6906018132 is 2318106096.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1339183 + ... + 1344329.

It is an arithmetic number, because the mean of its divisors is an integer number (135543408).

Almost surely, 26906018132 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 6906018132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9759125376).

6906018132 is an abundant number, since it is smaller than the sum of its proper divisors (12612232620).

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

6906018132 is a wasteful number, since it uses less digits than its factorization.

6906018132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6906018132 is about 83102.4556315877. The cubic root of 6906018132 is about 1904.3315885108.

The spelling of 6906018132 in words is "six billion, nine hundred six million, eighteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 61 78 94 117 122 141 156 183 188 234 244 282 366 423 468 549 564 611 732 793 846 1098 1222 1586 1692 1833 2196 2379 2444 2867 3172 3666 4758 5147 5499 5734 7137 7332 8601 9516 10294 10998 11468 14274 15441 17202 20588 21996 25803 28548 30882 34404 37271 46323 51606 61764 66911 74542 92646 103212 111813 133822 149084 185292 200733 223626 241909 267644 313967 335439 401466 447252 483818 602199 627934 670878 725727 802932 941901 967636 1204398 1255868 1341756 1451454 1883802 2177181 2408796 2825703 2902908 3144817 3767604 4081571 4354362 5651406 6289634 8163142 8708724 9434451 11302812 12244713 12579268 14756449 16326284 18868902 24489426 28303353 29512898 36734139 37737804 44269347 48978852 56606706 59025796 73468278 88538694 113213412 132808041 146936556 177077388 191833837 265616082 383667674 531232164 575501511 767335348 1151003022 1726504533 2302006044 3453009066 6906018132