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5166423240 = 23351118792083
BaseRepresentation
bin1001100111111000…
…10101110011001000
3111100001112111022220
410303330111303020
541040101020430
62212354214040
7242012605266
oct46374256310
914301474286
105166423240
112211347280
121002284320
1364448ab94
14370223436
1520387c110
hex133f15cc8

5166423240 has 128 divisors (see below), whose sum is σ = 16925414400. Its totient is φ = 1251198720.

The previous prime is 5166423221. The next prime is 5166423259. The reversal of 5166423240 is 423246615.

It is an interprime number because it is at equal distance from previous prime (5166423221) and next prime (5166423259).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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, 2479239 + ... + 2481321.

It is an arithmetic number, because the mean of its divisors is an integer number (132229800).

Almost surely, 25166423240 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 5166423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8462707200).

5166423240 is an abundant number, since it is smaller than the sum of its proper divisors (11758991160).

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

5166423240 is a wasteful number, since it uses less digits than its factorization.

5166423240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3987 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 5166423240 is about 71877.8355266768. The cubic root of 5166423240 is about 1728.7412452391.

Adding to 5166423240 its reverse (423246615), we get a palindrome (5589669855).

The spelling of 5166423240 in words is "five billion, one hundred sixty-six million, four hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1879 2083 3758 4166 5637 6249 7516 8332 9395 10415 11274 12498 15032 16664 18790 20669 20830 22548 22913 24996 28185 31245 37580 41338 41660 45096 45826 49992 56370 62007 62490 68739 75160 82676 83320 91652 103345 112740 114565 124014 124980 137478 165352 183304 206690 225480 229130 248028 249960 274956 310035 343695 413380 458260 496056 549912 620070 687390 826760 916520 1240140 1374780 2480280 2749560 3913957 7827914 11741871 15655828 19569785 23483742 31311656 39139570 43053527 46967484 58709355 78279140 86107054 93934968 117418710 129160581 156558280 172214108 215267635 234837420 258321162 344428216 430535270 469674840 516642324 645802905 861070540 1033284648 1291605810 1722141080 2583211620 5166423240