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4542091736 = 2371397131491
BaseRepresentation
bin1000011101011101…
…01101000111011000
3102201112202011111212
410032232231013120
533300233413421
62030412442252
7220362066650
oct41656550730
912645664455
104542091736
111a2098a826
12a69179388
13575023460
14311345360
151b8b54e5b
hex10ebad1d8

4542091736 has 128 divisors (see below), whose sum is σ = 10692380160. Its totient is φ = 1761177600.

The previous prime is 4542091669. The next prime is 4542091753. The reversal of 4542091736 is 6371902454.

It is a junction number, because it is equal to n+sod(n) for n = 4542091693 and 4542091702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9250451 + ... + 9250941.

It is an arithmetic number, because the mean of its divisors is an integer number (83534220).

Almost surely, 24542091736 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 4542091736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346190080).

4542091736 is an abundant number, since it is smaller than the sum of its proper divisors (6150288424).

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

4542091736 is a wasteful number, since it uses less digits than its factorization.

4542091736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 4542091736 is about 67395.0423695987. The cubic root of 4542091736 is about 1656.0952077556.

The spelling of 4542091736 in words is "four billion, five hundred forty-two million, ninety-one thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 97 104 131 182 194 262 364 388 491 524 679 728 776 917 982 1048 1261 1358 1703 1834 1964 2522 2716 3406 3437 3668 3928 5044 5432 6383 6812 6874 7336 8827 10088 11921 12707 12766 13624 13748 17654 23842 25414 25532 27496 35308 44681 47627 47684 50828 51064 64321 70616 88949 89362 95254 95368 101656 128642 165191 177898 178724 190508 257284 330382 333389 355796 357448 381016 450247 514568 619151 660764 666778 711592 836173 900494 1156337 1238302 1321528 1333556 1672346 1800988 2312674 2476604 2667112 3344692 3601976 4334057 4625348 4953208 5853211 6239137 6689384 8668114 9250696 11706422 12478274 17336228 23412844 24956548 34672456 43673959 46825688 49913096 81108781 87347918 162217562 174695836 324435124 349391672 567761467 648870248 1135522934 2271045868 4542091736