Search a number
-
+
5169353760 = 253254677687
BaseRepresentation
bin1001101000001111…
…00001010000100000
3111100021001101020200
410310013201100200
541041323310020
62212541105200
7242046532134
oct46407412040
914307041220
105169353760
112212a68a9a
121003258200
13644c75a0c
143707873c4
15203c5a590
hex1341e1420

5169353760 has 144 divisors (see below), whose sum is σ = 17680493376. Its totient is φ = 1375363584.

The previous prime is 5169353737. The next prime is 5169353809. The reversal of 5169353760 is 673539615.

5169353760 is a `hidden beast` number, since 51 + 6 + 9 + 3 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×51693537602 = 53444436592052275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668637 + ... + 676323.

It is an arithmetic number, because the mean of its divisors is an integer number (122781204).

Almost surely, 25169353760 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 5169353760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8840246688).

5169353760 is an abundant number, since it is smaller than the sum of its proper divisors (12511139616).

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

5169353760 is a wasteful number, since it uses less digits than its factorization.

5169353760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8175 (or 8164 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The square root of 5169353760 is about 71898.2180585861. The cubic root of 5169353760 is about 1729.0680447151.

The spelling of 5169353760 in words is "five billion, one hundred sixty-nine million, three hundred fifty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 467 480 720 934 1401 1440 1868 2335 2802 3736 4203 4670 5604 7005 7472 7687 8406 9340 11208 14010 14944 15374 16812 18680 21015 22416 23061 28020 30748 33624 37360 38435 42030 44832 46122 56040 61496 67248 69183 74720 76870 84060 92244 112080 115305 122992 134496 138366 153740 168120 184488 224160 230610 245984 276732 307480 336240 345915 368976 461220 553464 614960 672480 691830 737952 922440 1106928 1229920 1383660 1844880 2213856 2767320 3589829 3689760 5534640 7179658 10769487 11069280 14359316 17949145 21538974 28718632 32308461 35898290 43077948 53847435 57437264 64616922 71796580 86155896 107694870 114874528 129233844 143593160 161542305 172311792 215389740 258467688 287186320 323084610 344623584 430779480 516935376 574372640 646169220 861558960 1033870752 1292338440 1723117920 2584676880 5169353760