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5144771034 = 23213431912677
BaseRepresentation
bin1001100101010011…
…01111100111011010
3111021112210110002100
410302221233213122
541014030133114
62210302144230
7241330555314
oct46251574732
914245713070
105144771034
1122000a8697
12bb6b82076
1363cb49720
1436b3c87b4
15201a01909
hex132a6f9da

5144771034 has 96 divisors (see below), whose sum is σ = 12352564224. Its totient is φ = 1537522560.

The previous prime is 5144770997. The next prime is 5144771057. The reversal of 5144771034 is 4301774415.

5144771034 is a `hidden beast` number, since 514 + 47 + 71 + 0 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5144771034.

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 47 ways as a sum of consecutive naturals, for example, 1920504 + ... + 1923180.

It is an arithmetic number, because the mean of its divisors is an integer number (128672544).

Almost surely, 25144771034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5144771034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6176282112).

5144771034 is an abundant number, since it is smaller than the sum of its proper divisors (7207793190).

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

5144771034 is a wasteful number, since it uses less digits than its factorization.

5144771034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 5144771034 is about 71727.0592872732. The cubic root of 5144771034 is about 1726.3228426395.

The spelling of 5144771034 in words is "five billion, one hundred forty-four million, seven hundred seventy-one thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 191 234 258 382 387 559 573 774 1118 1146 1677 1719 2483 2677 3354 3438 4966 5031 5354 7449 8031 8213 10062 14898 16062 16426 22347 24093 24639 34801 44694 48186 49278 69602 73917 104403 106769 115111 147834 208806 213538 230222 313209 320307 345333 511307 626418 640614 690666 960921 1022614 1035999 1496443 1533921 1921842 2071998 2992886 3067842 4489329 4601763 6646991 8978658 9203526 13293982 13467987 19940973 21986201 26935974 39881946 43972402 59822919 65958603 119645838 131917206 197875809 285820613 395751618 571641226 857461839 1714923678 2572385517 5144771034