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5344666040 = 2357175919031
BaseRepresentation
bin1001111101001000…
…10010000110111000
3111210110221011111002
410332210102012320
541421213303130
62242202424132
7246305624510
oct47644220670
914713834432
105344666040
1122a2a1977a
121051b02048
13672397cac
14389b80840
15214339b45
hex13e9121b8

5344666040 has 128 divisors (see below), whose sum is σ = 14799283200. Its totient is φ = 1695344640.

The previous prime is 5344666039. The next prime is 5344666051. The reversal of 5344666040 is 406664435.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5344665985 and 5344666003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271325 + ... + 290355.

It is an arithmetic number, because the mean of its divisors is an integer number (115619400).

Almost surely, 25344666040 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 5344666040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399641600).

5344666040 is an abundant number, since it is smaller than the sum of its proper divisors (9454617160).

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

5344666040 is a wasteful number, since it uses less digits than its factorization.

5344666040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19125 (or 19121 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The square root of 5344666040 is about 73107.2228989722. Note that the first 3 decimals coincide. The cubic root of 5344666040 is about 1748.3975578836.

The spelling of 5344666040 in words is "five billion, three hundred forty-four million, six hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 59 68 70 85 118 119 136 140 170 236 238 280 295 340 413 472 476 590 595 680 826 952 1003 1180 1190 1652 2006 2065 2360 2380 3304 4012 4130 4760 5015 7021 8024 8260 10030 14042 16520 19031 20060 28084 35105 38062 40120 56168 70210 76124 95155 133217 140420 152248 190310 266434 280840 323527 380620 532868 647054 666085 761240 1065736 1122829 1294108 1332170 1617635 2245658 2264689 2588216 2664340 3235270 4491316 4529378 5328680 5614145 6470540 7859803 8982632 9058756 11228290 11323445 12941080 15719606 18117512 19088093 22456580 22646890 31439212 38176186 39299015 44913160 45293780 62878424 76352372 78598030 90587560 95440465 133616651 152704744 157196060 190880930 267233302 314392120 381761860 534466604 668083255 763523720 1068933208 1336166510 2672333020 5344666040