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5801330578728 = 2333137301169991
BaseRepresentation
bin101010001101011101000…
…1111111001010100101000
3202112121020200222021021110
41110122322033321110220
51230022111112004403
620201032223510320
71136063244203346
oct124327217712450
922477220867243
105801330578728
11193736a9647a3
12798405a583a0
133310a88c4119
14160b0070c996
15a0d8c744103
hex546ba3f9528

5801330578728 has 128 divisors (see below), whose sum is σ = 15381128355840. Its totient is φ = 1820187936000.

The previous prime is 5801330578727. The next prime is 5801330578741. The reversal of 5801330578728 is 8278750331085.

It is not an unprimeable number, because it can be changed into a prime (5801330578727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82851813 + ... + 82921803.

It is an arithmetic number, because the mean of its divisors is an integer number (120165065280).

Almost surely, 25801330578728 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 5801330578728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7690564177920).

5801330578728 is an abundant number, since it is smaller than the sum of its proper divisors (9579797777112).

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

5801330578728 is a wasteful number, since it uses less digits than its factorization.

5801330578728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73079 (or 73075 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 5801330578728 in words is "five trillion, eight hundred one billion, three hundred thirty million, five hundred seventy-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 37 62 74 93 111 124 148 186 222 248 296 372 444 744 888 1147 2294 3011 3441 4588 6022 6882 9033 9176 12044 13764 18066 24088 27528 36132 69991 72264 93341 111407 139982 186682 209973 222814 279964 280023 334221 373364 419946 445628 559928 560046 668442 746728 839892 891256 1120092 1336884 1679784 2169721 2240184 2589667 2673768 3453617 4339442 5179334 6509163 6907234 7769001 8678884 10358668 10360851 13018326 13814468 15538002 17357768 20717336 20721702 26036652 27628936 31076004 41443404 52073304 62152008 80279677 82886808 160559354 210742901 240839031 321118708 421485802 481678062 632228703 642237416 842971604 963356124 1264457406 1685943208 1926712248 2528914812 5057829624 6533029931 7797487337 13066059862 15594974674 19599089793 23392462011 26132119724 31189949348 39198179586 46784924022 52264239448 62379898696 78396359172 93569848044 156792718344 187139696088 241722107447 483444214894 725166322341 966888429788 1450332644682 1933776859576 2900665289364 5801330578728