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5166552120 = 2335593072377
BaseRepresentation
bin1001100111111001…
…10101010000111000
3111100001210001010020
410303330311100320
541040114131440
62212401050440
7242013653112
oct46374652070
914301701106
105166552120
112211425094
121002326a20
13644504742
143702583b2
152038a53d0
hex133f35438

5166552120 has 128 divisors (see below), whose sum is σ = 15820358400. Its totient is φ = 1349415936.

The previous prime is 5166552107. The next prime is 5166552121. The reversal of 5166552120 is 212556615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5166552121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2172372 + ... + 2174748.

It is an arithmetic number, because the mean of its divisors is an integer number (123596550).

Almost surely, 25166552120 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 5166552120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7910179200).

5166552120 is an abundant number, since it is smaller than the sum of its proper divisors (10653806280).

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

5166552120 is a wasteful number, since it uses less digits than its factorization.

5166552120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 5166552120 is about 71878.7320422390. The cubic root of 5166552120 is about 1728.7556200015.

The spelling of 5166552120 in words is "five billion, one hundred sixty-six million, five hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 307 354 472 590 614 708 885 921 1180 1228 1416 1535 1770 1842 2360 2377 2456 3070 3540 3684 4605 4754 6140 7080 7131 7368 9210 9508 11885 12280 14262 18113 18420 19016 23770 28524 35655 36226 36840 47540 54339 57048 71310 72452 90565 95080 108678 140243 142620 144904 181130 217356 271695 280486 285240 362260 420729 434712 543390 560972 701215 724520 729739 841458 1086780 1121944 1402430 1459478 1682916 2103645 2173560 2189217 2804860 2918956 3365832 3648695 4207290 4378434 5609720 5837912 7297390 8414580 8756868 10946085 14594780 16829160 17513736 21892170 29189560 43054601 43784340 86109202 87568680 129163803 172218404 215273005 258327606 344436808 430546010 516655212 645819015 861092020 1033310424 1291638030 1722184040 2583276060 5166552120