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5454416114250 = 235359771715973
BaseRepresentation
bin100111101011111010010…
…0010001111001001001010
3201022102210122012111220220
41033113310202033021022
51203331121011124000
615333420230530510
71102032342000435
oct117276442171112
921272718174826
105454416114250
111813228777a04
12741128b06a36
13307470357b7c
1414bdd098a81c
1596d3652d1a0
hex4f5f488f24a

5454416114250 has 128 divisors (see below), whose sum is σ = 13847633130240. Its totient is φ = 1429583443200.

The previous prime is 5454416114249. The next prime is 5454416114263. The reversal of 5454416114250 is 524116144545.

It is a super-3 number, since 3×54544161142503 (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341469264 + ... + 341485236.

It is an arithmetic number, because the mean of its divisors is an integer number (108184633830).

Almost surely, 25454416114250 is an apocalyptic number.

5454416114250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5454416114250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6923816565120).

5454416114250 is an abundant number, since it is smaller than the sum of its proper divisors (8393217015990).

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

5454416114250 is a wasteful number, since it uses less digits than its factorization.

5454416114250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23769 (or 23759 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 5454416114250 in words is "five trillion, four hundred fifty-four billion, four hundred sixteen million, one hundred fourteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 59 75 118 125 150 177 250 295 354 375 590 750 885 1475 1770 2950 4425 7375 7717 8850 14750 15434 15973 22125 23151 31946 38585 44250 46302 47919 77170 79865 95838 115755 159730 192925 231510 239595 385850 399325 455303 479190 578775 798650 910606 942407 964625 1157550 1197975 1365909 1884814 1929250 1996625 2276515 2395950 2731818 2827221 2893875 3993250 4553030 4712035 5654442 5787750 5989875 6829545 9424070 11382575 11979750 13659090 14136105 22765150 23560175 28272210 34147725 47120350 56912875 68295450 70680525 113825750 117800875 123263641 141361050 170738625 235601750 246527282 341477250 353402625 369790923 616318205 706805250 739581846 1232636410 1848954615 3081591025 3697909230 6163182050 7272554819 9244773075 14545109638 15407955125 18489546150 21817664457 30815910250 36362774095 43635328914 46223865375 72725548190 92447730750 109088322285 181813870475 218176644570 363627740950 545441611425 909069352375 1090883222850 1818138704750 2727208057125 5454416114250