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5142853680 = 243549942943
BaseRepresentation
bin1001100101000100…
…11011100000110000
3111021102012000222020
410302202123200300
541013032304210
62210153111440
7241305351336
oct46242334060
914242160866
105142853680
1121aa0090a8
12bb63b8580
1363c627ab3
1436b049b56
15201773770
hex13289b830

5142853680 has 80 divisors (see below), whose sum is σ = 15975168000. Its totient is φ = 1368647424.

The previous prime is 5142853669. The next prime is 5142853687. The reversal of 5142853680 is 863582415.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5142853687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98289 + ... + 141231.

It is an arithmetic number, because the mean of its divisors is an integer number (199689600).

Almost surely, 25142853680 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 5142853680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7987584000).

5142853680 is an abundant number, since it is smaller than the sum of its proper divisors (10832314320).

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

5142853680 is a wasteful number, since it uses less digits than its factorization.

5142853680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43458 (or 43452 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 5142853680 is about 71713.6924164416. The cubic root of 5142853680 is about 1726.1083605788.

The spelling of 5142853680 in words is "five billion, one hundred forty-two million, eight hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 499 998 1497 1996 2495 2994 3992 4990 5988 7485 7984 9980 11976 14970 19960 23952 29940 39920 42943 59880 85886 119760 128829 171772 214715 257658 343544 429430 515316 644145 687088 858860 1030632 1288290 1717720 2061264 2576580 3435440 5153160 10306320 21428557 42857114 64285671 85714228 107142785 128571342 171428456 214285570 257142684 321428355 342856912 428571140 514285368 642856710 857142280 1028570736 1285713420 1714284560 2571426840 5142853680