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2997166128 = 2431124911051
BaseRepresentation
bin1011001010100101…
…0010000000110000
321201212200210222220
42302221102000300
522114233304003
61213223401040
7134162330445
oct26251220060
97655623886
102997166128
1112a8905300
126b78b3180
13389c316a8
142060a99cc
151281d4353
hexb2a52030

2997166128 has 120 divisors (see below), whose sum is σ = 8535995328. Its totient is φ = 905520000.

The previous prime is 2997166127. The next prime is 2997166157. The reversal of 2997166128 is 8216617992.

It is not an unprimeable number, because it can be changed into a prime (2997166127) 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 23 ways as a sum of consecutive naturals, for example, 2851203 + ... + 2852253.

Almost surely, 22997166128 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 2997166128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267997664).

2997166128 is an abundant number, since it is smaller than the sum of its proper divisors (5538829200).

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

2997166128 is a wasteful number, since it uses less digits than its factorization.

2997166128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1558 counting only the distinct ones).

The product of its digits is 653184, while the sum is 51.

The square root of 2997166128 is about 54746.3800447116. The cubic root of 2997166128 is about 1441.7952993863.

The spelling of 2997166128 in words is "two billion, nine hundred ninety-seven million, one hundred sixty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 491 528 726 968 982 1051 1452 1473 1936 1964 2102 2904 2946 3153 3928 4204 5401 5808 5892 6306 7856 8408 10802 11561 11784 12612 16203 16816 21604 23122 23568 25224 32406 34683 43208 46244 50448 59411 64812 69366 86416 92488 118822 127171 129624 138732 178233 184976 237644 254342 259248 277464 356466 381513 475288 508684 516041 554928 712932 763026 950576 1017368 1032082 1425864 1526052 1548123 2034736 2064164 2851728 3052104 3096246 4128328 5676451 6104208 6192492 8256656 11352902 12384984 17029353 22705804 24769968 34058706 45411608 62440961 68117412 90823216 124881922 136234824 187322883 249763844 272469648 374645766 499527688 749291532 999055376 1498583064 2997166128