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2027368416 = 2532332389
BaseRepresentation
bin111100011010111…
…0010111111100000
312020021211222122010
41320311302333200
513123001242131
6533101312520
7101145230043
oct17065627740
95207758563
102027368416
1195043a997
12486b65740
1326403a5a8
14153380c5a
15bcebbb46
hex78d72fe0

2027368416 has 72 divisors (see below), whose sum is σ = 5358520440. Its totient is φ = 671159296.

The previous prime is 2027368363. The next prime is 2027368481. The reversal of 2027368416 is 6148637202.

It is a happy number.

It is a super-2 number, since 2×20273684162 = 8220445388388698112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5211550 + ... + 5211938.

It is an arithmetic number, because the mean of its divisors is an integer number (74423895).

Almost surely, 22027368416 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 2027368416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679260220).

2027368416 is an abundant number, since it is smaller than the sum of its proper divisors (3331152024).

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

2027368416 is an equidigital number, since it uses as much as digits as its factorization.

2027368416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2027368416 is about 45026.3080431874. The cubic root of 2027368416 is about 1265.6420402083.

The spelling of 2027368416 in words is "two billion, twenty-seven million, three hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 233 389 466 699 778 932 1167 1398 1556 1864 2334 2796 3112 3728 4668 5592 6224 7456 9336 11184 12448 18672 22368 37344 54289 90637 108578 162867 181274 217156 271911 325734 362548 434312 543822 651468 725096 868624 1087644 1302936 1450192 1737248 2175288 2605872 2900384 4350576 5211744 8701152 21118421 42236842 63355263 84473684 126710526 168947368 253421052 337894736 506842104 675789472 1013684208 2027368416