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5541226680 = 2335114789317
BaseRepresentation
bin1010010100100100…
…00110100010111000
3112022011210110222210
411022102012202320
542322023223210
62313503415120
7254213435553
oct51222064270
915264713883
105541226680
112393972690
1210a78b44a0
136a4019972
143a7d0969a
15226714e20
hex14a4868b8

5541226680 has 128 divisors (see below), whose sum is σ = 18520980480. Its totient is φ = 1314731520.

The previous prime is 5541226589. The next prime is 5541226681. The reversal of 5541226680 is 866221455.

It is a super-3 number, since 3×55412266803 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5541226681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17382 + ... + 106698.

It is an arithmetic number, because the mean of its divisors is an integer number (144695160).

Almost surely, 25541226680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5541226680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9260490240).

5541226680 is an abundant number, since it is smaller than the sum of its proper divisors (12979753800).

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

5541226680 is a wasteful number, since it uses less digits than its factorization.

5541226680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89389 (or 89385 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 5541226680 is about 74439.4161718105. The cubic root of 5541226680 is about 1769.5736340966.

It can be divided in two parts, 5541 and 226680, that added together give a triangular number (232221 = T681).

The spelling of 5541226680 in words is "five billion, five hundred forty-one million, two hundred twenty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 47 55 60 66 88 94 110 120 132 141 165 188 220 235 264 282 330 376 440 470 517 564 660 705 940 1034 1128 1320 1410 1551 1880 2068 2585 2820 3102 4136 5170 5640 6204 7755 10340 12408 15510 20680 31020 62040 89317 178634 267951 357268 446585 535902 714536 893170 982487 1071804 1339755 1786340 1964974 2143608 2679510 2947461 3572680 3929948 4197899 4912435 5359020 5894922 7859896 8395798 9824870 10718040 11789844 12593697 14737305 16791596 19649740 20989495 23579688 25187394 29474610 33583192 39299480 41978990 46176889 50374788 58949220 62968485 83957980 92353778 100749576 117898440 125936970 138530667 167915960 184707556 230884445 251873940 277061334 369415112 461768890 503747880 554122668 692653335 923537780 1108245336 1385306670 1847075560 2770613340 5541226680