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5420540216 = 23713311811327
BaseRepresentation
bin1010000110001011…
…01110000100111000
3111222202200222021202
411003011232010320
542100124241331
62253512553332
7251216555150
oct50305560470
914882628252
105420540216
112331832103
1210733b2848
13685012460
14395c91760
1521ad25ecb
hex14316e138

5420540216 has 128 divisors (see below), whose sum is σ = 12993576960. Its totient is φ = 2062195200.

The previous prime is 5420540201. The next prime is 5420540231. The reversal of 5420540216 is 6120450245.

It is an interprime number because it is at equal distance from previous prime (5420540201) and next prime (5420540231).

It is a super-3 number, since 3×54205402163 (a number of 30 digits) contains 333 as substring.

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, 4084145 + ... + 4085471.

It is an arithmetic number, because the mean of its divisors is an integer number (101512320).

Almost surely, 25420540216 is an apocalyptic number.

5420540216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5420540216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6496788480).

5420540216 is an abundant number, since it is smaller than the sum of its proper divisors (7573036744).

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

5420540216 is a wasteful number, since it uses less digits than its factorization.

5420540216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 5420540216 is about 73624.3181021054. The cubic root of 5420540216 is about 1756.6322712815.

The spelling of 5420540216 in words is "five billion, four hundred twenty million, five hundred forty thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 181 182 217 248 362 364 403 434 724 728 806 868 1267 1327 1448 1612 1736 2353 2534 2654 2821 3224 4706 5068 5308 5611 5642 9289 9412 10136 10616 11222 11284 16471 17251 18578 18824 22444 22568 32942 34502 37156 39277 41137 44888 65884 69004 72943 74312 78554 82274 120757 131768 138008 145886 157108 164548 240187 241514 287959 291772 314216 329096 480374 483028 510601 534781 575918 583544 960748 966056 1021202 1069562 1151836 1681309 1921496 2042404 2139124 2303672 3122431 3362618 3743467 4084808 4278248 6244862 6725236 7445797 7486934 12489724 13450472 14891594 14973868 21857017 24979448 29783188 29947736 43714034 52120579 59566376 87428068 96795361 104241158 174856136 193590722 208482316 387181444 416964632 677567527 774362888 1355135054 2710270108 5420540216