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6116622408 = 23321327092
BaseRepresentation
bin1011011001001010…
…00100000001001000
3120210021111121112200
411230211010001020
5100011323404113
62450540240200
7304401301251
oct55445040110
916707447480
106116622408
112659745a46
121228540060
137662ac500
144204c9b28
1525bec2873
hex16c944048

6116622408 has 108 divisors (see below), whose sum is σ = 17963507835. Its totient is φ = 1879383168.

The previous prime is 6116622361. The next prime is 6116622409. The reversal of 6116622408 is 8042266116.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1695204 + 6114927204 = 1302^2 + 78198^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=55302.

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

It is not an unprimeable number, because it can be changed into a prime (6116622409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8626758 + ... + 8627466.

Almost surely, 26116622408 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 6116622408

6116622408 is an abundant number, since it is smaller than the sum of its proper divisors (11846885427).

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

6116622408 is a wasteful number, since it uses less digits than its factorization.

6116622408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6116622408 is about 78208.8384263569. The cubic root of 6116622408 is about 1828.8182928962.

The spelling of 6116622408 in words is "six billion, one hundred sixteen million, six hundred twenty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 709 936 1014 1352 1418 1521 2028 2127 2836 3042 4056 4254 5672 6084 6381 8508 9217 12168 12762 17016 18434 25524 27651 36868 51048 55302 73736 82953 110604 119821 165906 221208 239642 331812 359463 479284 502681 663624 718926 958568 1005362 1078389 1437852 1508043 2010724 2156778 2875704 3016086 4021448 4313556 4524129 6032172 6534853 8627112 9048258 12064344 13069706 18096516 19604559 26139412 36193032 39209118 52278824 58813677 78418236 84953089 117627354 156836472 169906178 235254708 254859267 339812356 470509416 509718534 679624712 764577801 1019437068 1529155602 2038874136 3058311204 6116622408