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5046115440 = 2435179671279
BaseRepresentation
bin1001011001100010…
…11001110001110000
3111000200011020001110
410230301121301300
540313301143230
62152415433320
7236022162552
oct45461316160
914020136043
105046115440
11215a445243
12b89b25840
13625586b32
1435c2674d2
151e80154b0
hex12cc59c70

5046115440 has 160 divisors (see below), whose sum is σ = 16593223680. Its totient is φ = 1264177152.

The previous prime is 5046115421. The next prime is 5046115453. The reversal of 5046115440 is 445116405.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5046115398 and 5046115407.

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, 3944721 + ... + 3945999.

It is an arithmetic number, because the mean of its divisors is an integer number (103707648).

Almost surely, 25046115440 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 5046115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8296611840).

5046115440 is an abundant number, since it is smaller than the sum of its proper divisors (11547108240).

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

5046115440 is a wasteful number, since it uses less digits than its factorization.

5046115440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5046115440 is about 71036.0150909382. The cubic root of 5046115440 is about 1715.2169530067.

The spelling of 5046115440 in words is "five billion, forty-six million, one hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 967 1020 1279 1360 1934 2040 2558 2901 3837 3868 4080 4835 5116 5802 6395 7674 7736 9670 10232 11604 12790 14505 15348 15472 16439 19185 19340 20464 21743 23208 25580 29010 30696 32878 38370 38680 43486 46416 49317 51160 58020 61392 65229 65756 76740 77360 82195 86972 98634 102320 108715 116040 130458 131512 153480 164390 173944 197268 217430 232080 246585 260916 263024 306960 326145 328780 347888 394536 434860 493170 521832 652290 657560 789072 869720 986340 1043664 1236793 1304580 1315120 1739440 1972680 2473586 2609160 3710379 3945360 4947172 5218320 6183965 7420758 9894344 12367930 14841516 18551895 19788688 21025481 24735860 29683032 37103790 42050962 49471720 59366064 63076443 74207580 84101924 98943440 105127405 126152886 148415160 168203848 210254810 252305772 296830320 315382215 336407696 420509620 504611544 630764430 841019240 1009223088 1261528860 1682038480 2523057720 5046115440