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5419957956 = 2237718910211
BaseRepresentation
bin1010000110000110…
…11111111011000100
3111222201121101120120
411003003133323010
542100002123311
62253452301540
7251211611460
oct50303377304
914881541516
105419957956
1123314746a6
1210731718b0
13684b6a41a
14395b7d4a0
1521ac5d706
hex1430dfec4

5419957956 has 96 divisors (see below), whose sum is σ = 14822922240. Its totient is φ = 1509446400.

The previous prime is 5419957937. The next prime is 5419957957. The reversal of 5419957956 is 6597599145.

It is a self number, because there is not a number n which added to its sum of digits gives 5419957956.

It is not an unprimeable number, because it can be changed into a prime (5419957957) by changing a digit.

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, 525691 + ... + 535901.

It is an arithmetic number, because the mean of its divisors is an integer number (154405440).

Almost surely, 25419957956 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 5419957956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7411461120).

5419957956 is an abundant number, since it is smaller than the sum of its proper divisors (9402964284).

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

5419957956 is a wasteful number, since it uses less digits than its factorization.

5419957956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10385 (or 10383 counting only the distinct ones).

The product of its digits is 15309000, while the sum is 60.

The square root of 5419957956 is about 73620.3637317828. The cubic root of 5419957956 is about 1756.5693714419.

The spelling of 5419957956 in words is "five billion, four hundred nineteen million, nine hundred fifty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 89 142 178 213 267 284 356 426 497 534 623 852 994 1068 1246 1491 1869 1988 2492 2982 3738 5964 6319 7476 10211 12638 18957 20422 25276 30633 37914 40844 44233 61266 71477 75828 88466 122532 132699 142954 176932 214431 265398 285908 428862 530796 724981 857724 908779 1449962 1817558 2174943 2726337 2899924 3635116 4349886 5074867 5452674 6361453 8699772 10149734 10905348 12722906 15224601 19084359 20299468 25445812 30449202 38168718 60898404 64523309 76337436 129046618 193569927 258093236 387139854 451663163 774279708 903326326 1354989489 1806652652 2709978978 5419957956