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5459172945400 = 23521491571166839
BaseRepresentation
bin100111101110001000000…
…0100000110110111111000
3201022220002011000120112101
41033130100010012313320
51203420341233223100
615335524234153144
71102261252254016
oct117342004066770
921286064016471
105459172945400
111815249897619
12742035b827b4
13307a4a9c6465
1414c32262d8b6
1597013e4e86a
hex4f710106df8

5459172945400 has 96 divisors (see below), whose sum is σ = 12859160220000. Its totient is φ = 2155196459520.

The previous prime is 5459172945377. The next prime is 5459172945439. The reversal of 5459172945400 is 45492719545.

It is a super-2 number, since 2×54591729454002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4095181 + ... + 5262019.

It is an arithmetic number, because the mean of its divisors is an integer number (133949585625).

Almost surely, 25459172945400 is an apocalyptic number.

5459172945400 is a gapful number since it is divisible by the number (50) 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 5459172945400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6429580110000).

5459172945400 is an abundant number, since it is smaller than the sum of its proper divisors (7399987274600).

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

5459172945400 is a wasteful number, since it uses less digits than its factorization.

5459172945400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167161 (or 1167152 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 55.

The spelling of 5459172945400 in words is "five trillion, four hundred fifty-nine billion, one hundred seventy-two million, nine hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 157 200 298 314 596 628 745 785 1192 1256 1490 1570 2980 3140 3725 3925 5960 6280 7450 7850 14900 15700 23393 29800 31400 46786 93572 116965 187144 233930 467860 584825 935720 1166839 1169650 2333678 2339300 4667356 4678600 5834195 9334712 11668390 23336780 29170975 46673560 58341950 116683900 173859011 183193723 233367800 347718022 366387446 695436044 732774892 869295055 915968615 1390872088 1465549784 1738590110 1831937230 3477180220 3663874460 4346475275 4579843075 6954360440 7327748920 8692950550 9159686150 17385901100 18319372300 27295864727 34771802200 36638744600 54591729454 109183458908 136479323635 218366917816 272958647270 545917294540 682396618175 1091834589080 1364793236350 2729586472700 5459172945400