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5104916880588 = 22327291663420047
BaseRepresentation
bin100101001001001010011…
…0000011101110011001100
3200002000200102201212211100
41022102110300131303030
51132114332210134323
614505055541223100
71034550412350360
oct112222460356314
920060612655740
105104916880588
111698a8a548838
126a544a401a90
132b051244c3b5
1413911782d2a0
158cbcd444943
hex4a494c1dccc

5104916880588 has 144 divisors (see below), whose sum is σ = 15265283604480. Its totient is φ = 1407402767232.

The previous prime is 5104916880587. The next prime is 5104916880629. The reversal of 5104916880588 is 8850886194015.

5104916880588 is a `hidden beast` number, since 5 + 1 + 0 + 49 + 1 + 6 + 8 + 8 + 0 + 588 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5104916880587) by changing a digit.

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, 11943181 + ... + 12363227.

It is an arithmetic number, because the mean of its divisors is an integer number (106008913920).

Almost surely, 25104916880588 is an apocalyptic number.

5104916880588 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5104916880588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7632641802240).

5104916880588 is an abundant number, since it is smaller than the sum of its proper divisors (10160366723892).

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

5104916880588 is a wasteful number, since it uses less digits than its factorization.

5104916880588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421756 (or 421751 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 63.

The spelling of 5104916880588 in words is "five trillion, one hundred four billion, nine hundred sixteen million, eight hundred eighty thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1663 1827 2436 3326 3654 4989 6652 7308 9978 11641 14967 19956 23282 29934 34923 46564 48227 59868 69846 96454 104769 139692 144681 192908 209538 289362 337589 419076 420047 434043 578724 675178 840094 868086 1012767 1260141 1350356 1680188 1736172 2025534 2520282 2940329 3038301 3780423 4051068 5040564 5880658 6076602 7560846 8820987 11761316 12153204 12181363 15121692 17641974 24362726 26462961 35283948 36544089 48725452 52925922 73088178 85269541 105851844 109632267 146176356 170539082 219264534 255808623 341078164 438529068 511617246 698538161 767425869 1023234492 1397076322 1534851738 2095614483 2794152644 3069703476 4191228966 4889767127 6286843449 8382457932 9779534254 12573686898 14669301381 19559068508 20257606669 25147373796 29338602762 40515213338 44007904143 58677205524 60772820007 81030426676 88015808286 121545640014 141803246683 176031616572 182318460021 243091280028 283606493366 364636920042 425409740049 567212986732 729273840084 850819480098 1276229220147 1701638960196 2552458440294 5104916880588