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2999052864 = 26342919949
BaseRepresentation
bin1011001011000001…
…1110101001000000
321202000020200010000
42302300132221000
522120224142424
61213332040000
7134214346233
oct26260365100
97660220100
102999052864
1112a9983895
126b8463000
1338a4423c2
1420643b41a
151284583c9
hexb2c1ea40

2999052864 has 140 divisors (see below), whose sum is σ = 9197149500. Its totient is φ = 965164032.

The previous prime is 2999052863. The next prime is 2999052899. The reversal of 2999052864 is 4682509992.

It is a happy number.

2999052864 is a `hidden beast` number, since 29 + 9 + 90 + 528 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 875686464 + 2123366400 = 29592^2 + 46080^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2999052864.

It is not an unprimeable number, because it can be changed into a prime (2999052863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 140362 + ... + 160310.

It is an arithmetic number, because the mean of its divisors is an integer number (65693925).

Almost surely, 22999052864 is an apocalyptic number.

2999052864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2999052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598574750).

2999052864 is an abundant number, since it is smaller than the sum of its proper divisors (6198096636).

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

2999052864 is a wasteful number, since it uses less digits than its factorization.

2999052864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20002 (or 19983 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 2999052864 is about 54763.6089387834. The cubic root of 2999052864 is about 1442.0977758331.

The spelling of 2999052864 in words is "two billion, nine hundred ninety-nine million, fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 144 162 174 192 216 232 261 288 324 348 432 464 522 576 648 696 783 864 928 1044 1296 1392 1566 1728 1856 2088 2349 2592 2784 3132 4176 4698 5184 5568 6264 8352 9396 12528 16704 18792 19949 25056 37584 39898 50112 59847 75168 79796 119694 150336 159592 179541 239388 319184 359082 478776 538623 578521 638368 718164 957552 1077246 1157042 1276736 1436328 1615869 1735563 1915104 2154492 2314084 2872656 3231738 3471126 3830208 4308984 4628168 5206689 5745312 6463476 6942252 8617968 9256336 10413378 11490624 12926952 13884504 15620067 17235936 18512672 20826756 25853904 27769008 31240134 34471872 37025344 41653512 46860201 51707808 55538016 62480268 83307024 93720402 103415616 111076032 124960536 166614048 187440804 249921072 333228096 374881608 499842144 749763216 999684288 1499526432 2999052864