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5344530100 = 2252713896599
BaseRepresentation
bin1001111101000111…
…10000111010110100
3111210110200021000021
410332203300322310
541421144430400
62242155454524
7246304520260
oct47643607264
914713607007
105344530100
1122a2936628
121051a57444
1367234b160
14389b470a0
1521430e71a
hex13e8f0eb4

5344530100 has 144 divisors (see below), whose sum is σ = 14436576000. Its totient is φ = 1672197120.

The previous prime is 5344530073. The next prime is 5344530119. The reversal of 5344530100 is 10354435.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 806601 + ... + 813199.

It is an arithmetic number, because the mean of its divisors is an integer number (100254000).

Almost surely, 25344530100 is an apocalyptic number.

5344530100 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 5344530100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7218288000).

5344530100 is an abundant number, since it is smaller than the sum of its proper divisors (9092045900).

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

5344530100 is a wasteful number, since it uses less digits than its factorization.

5344530100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6722 (or 6715 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 5344530100 is about 73106.2931627640. The cubic root of 5344530100 is about 1748.3827344330.

Adding to 5344530100 its reverse (10354435), we get a palindrome (5354884535).

The spelling of 5344530100 in words is "five billion, three hundred forty-four million, five hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 89 91 100 130 140 175 178 182 260 325 350 356 364 445 455 623 650 700 890 910 1157 1246 1300 1780 1820 2225 2275 2314 2492 3115 4450 4550 4628 5785 6230 6599 8099 8900 9100 11570 12460 13198 15575 16198 23140 26396 28925 31150 32396 32995 40495 46193 57850 62300 65990 80990 85787 92386 115700 131980 161980 164975 171574 184772 202475 230965 329950 343148 404950 428935 461930 587311 600509 659900 809900 857870 923860 1154825 1174622 1201018 1715740 2144675 2309650 2349244 2402036 2936555 3002545 4111177 4289350 4619300 5873110 6005090 7635043 8222354 8578700 11746220 12010180 14682775 15012725 15270086 16444708 20555885 29365550 30025450 30540172 38175215 41111770 53445301 58731100 60050900 76350430 82223540 102779425 106890602 152700860 190876075 205558850 213781204 267226505 381752150 411117700 534453010 763504300 1068906020 1336132525 2672265050 5344530100