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4029566434884 = 22341115212
BaseRepresentation
bin111010101000110100111…
…000000011111001000100
3112021020000102011012210000
4322220310320003321010
51012010023001404014
612323053545201300
7564061261362534
oct72506470037104
915236012135700
104029566434884
111313a25224821
12550b59790230
13232ca93c9613
14dd063d674c4
156ec419e0509
hex3aa34e03e44

4029566434884 has 45 divisors (see below), whose sum is σ = 10534177083661. Its totient is φ = 1343176767360.

The previous prime is 4029566434877. The next prime is 4029566434931. The reversal of 4029566434884 is 4884346659204.

It is a happy number.

The square root of 4029566434884 is 2007378.

It is a perfect power (a square), and thus also a powerful number.

4029566434884 is a `hidden beast` number, since 4 + 0 + 2 + 95 + 6 + 64 + 3 + 488 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1799681276484 + 2229885158400 = 1341522^2 + 1493280^2 .

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 36077044 + ... + 36188564.

Almost surely, 24029566434884 is an apocalyptic number.

4029566434884 is the 2007378-th square number.

It is an amenable number.

4029566434884 is an abundant number, since it is smaller than the sum of its proper divisors (6504610648777).

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

4029566434884 is an frugal number, since it uses more digits than its factorization.

4029566434884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223058 (or 111526 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 4029566434884 in words is "four trillion, twenty-nine billion, five hundred sixty-six million, four hundred thirty-four thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 111521 223042 334563 446084 669126 1003689 1338252 2007378 3011067 4014756 6022134 9033201 12044268 18066402 36132804 12436933441 24873866882 37310800323 49747733764 74621600646 111932400969 149243201292 223864801938 335797202907 447729603876 671594405814 1007391608721 1343188811628 2014783217442 4029566434884