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4465066442034 = 23112291012099771
BaseRepresentation
bin100000011111001101010…
…1100101111110100110010
3120210212010011020210120110
41000332122230233310302
51041123424002121114
613255120113522150
7640406336353632
oct100763254576462
916725104223513
104465066442034
111471695669a00
12601439873356
13265091716a43
14116178bd06c2
157b22ecd4759
hex40f9ab2fd32

4465066442034 has 96 divisors (see below), whose sum is σ = 10254782502720. Its totient is φ = 1293458320000.

The previous prime is 4465066442029. The next prime is 4465066442093. The reversal of 4465066442034 is 4302446605644.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076569 + ... + 3176339.

It is an arithmetic number, because the mean of its divisors is an integer number (106820651070).

Almost surely, 24465066442034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4465066442034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127391251360).

4465066442034 is an abundant number, since it is smaller than the sum of its proper divisors (5789716060686).

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

4465066442034 is a wasteful number, since it uses less digits than its factorization.

4465066442034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099928 (or 2099917 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 48.

The spelling of 4465066442034 in words is "four trillion, four hundred sixty-five billion, sixty-six million, four hundred forty-two thousand, thirty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 101 121 174 202 242 303 319 363 606 638 726 957 1111 1914 2222 2929 3333 3509 5858 6666 7018 8787 10527 12221 17574 21054 24442 32219 36663 64438 73326 96657 193314 354409 708818 1063227 2099771 2126454 4199542 6299313 12598626 23097481 46194962 60893359 69292443 121786718 138584886 182680077 212076871 254072291 365360154 424153742 508144582 636230613 669826949 762216873 1272461226 1339653898 1524433746 2009480847 2332845581 4018961694 4665691162 6150229259 6998536743 7368096439 12300458518 13997073486 14736192878 18450687777 22104289317 25661301391 36901375554 44208578634 51322602782 67652521849 76983904173 135305043698 153967808346 202957565547 405915131094 744177740339 1488355480678 2232533221017 4465066442034