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5516520100 = 22527132326357
BaseRepresentation
bin1010010001100111…
…10110101010100100
3112020110022020221021
411020303312222210
542244212120400
62311222100524
7253463434660
oct51063665244
915213266837
105516520100
112380a28223
12109b57a744
1369bb791a0
143a49178a0
1522448471a
hex148cf6aa4

5516520100 has 144 divisors (see below), whose sum is σ = 15374515968. Its totient is φ = 1669916160.

The previous prime is 5516520071. The next prime is 5516520103. The reversal of 5516520100 is 10256155.

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

It is not an unprimeable number, because it can be changed into a prime (5516520103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196122 + ... + 222478.

It is an arithmetic number, because the mean of its divisors is an integer number (106767472).

Almost surely, 25516520100 is an apocalyptic number.

5516520100 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 5516520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7687257984).

5516520100 is an abundant number, since it is smaller than the sum of its proper divisors (9857995868).

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

5516520100 is a wasteful number, since it uses less digits than its factorization.

5516520100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26414 (or 26407 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 5516520100 is about 74273.2798521783. The cubic root of 5516520100 is about 1766.9397256032.

Adding to 5516520100 its reverse (10256155), we get a palindrome (5526776255).

The spelling of 5516520100 in words is "five billion, five hundred sixteen million, five hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 23 25 26 28 35 46 50 52 65 70 91 92 100 115 130 140 161 175 182 230 260 299 322 325 350 364 455 460 575 598 644 650 700 805 910 1150 1196 1300 1495 1610 1820 2093 2275 2300 2990 3220 4025 4186 4550 5980 7475 8050 8372 9100 10465 14950 16100 20930 26357 29900 41860 52325 52714 104650 105428 131785 184499 209300 263570 342641 368998 527140 606211 658925 685282 737996 922495 1212422 1317850 1370564 1713205 1844990 2398487 2424844 2635700 3031055 3426410 3689980 4243477 4612475 4796974 6062110 6852820 7880743 8486954 8566025 9224950 9593948 11992435 12124220 15155275 15761486 16973908 17132050 18449900 21217385 23984870 30310550 31522972 34264100 39403715 42434770 47969740 55165201 59962175 60621100 78807430 84869540 106086925 110330402 119924350 157614860 197018575 212173850 220660804 239848700 275826005 394037150 424347700 551652010 788074300 1103304020 1379130025 2758260050 5516520100