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4214215552 = 271092291319
BaseRepresentation
bin1111101100101111…
…1101001110000000
3101212200210022221111
43323023331032000
532112314344202
61534101133104
7206301145501
oct37313751600
911780708844
104214215552
1118728a6578
129973ba194
13522115291
142bd996ba8
15199e8b6d7
hexfb2fd380

4214215552 has 64 divisors (see below), whose sum is σ = 8515980000. Its totient is φ = 2077083648.

The previous prime is 4214215541. The next prime is 4214215573. The reversal of 4214215552 is 2555124124.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×42142155522 = 35519225437437329408, 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 7 ways as a sum of consecutive naturals, for example, 3194349 + ... + 3195667.

Almost surely, 24214215552 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 4214215552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257990000).

4214215552 is an abundant number, since it is smaller than the sum of its proper divisors (4301764448).

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

4214215552 is a wasteful number, since it uses less digits than its factorization.

4214215552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1659 counting only the distinct ones).

The product of its digits is 16000, while the sum is 31.

The square root of 4214215552 is about 64916.9897022343. The cubic root of 4214215552 is about 1615.2468960877.

Adding to 4214215552 its reverse (2555124124), we get a palindrome (6769339676).

The spelling of 4214215552 in words is "four billion, two hundred fourteen million, two hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 109 128 218 229 436 458 872 916 1319 1744 1832 2638 3488 3664 5276 6976 7328 10552 13952 14656 21104 24961 29312 42208 49922 84416 99844 143771 168832 199688 287542 302051 399376 575084 604102 798752 1150168 1208204 1597504 2300336 2416408 3195008 4600672 4832816 9201344 9665632 18402688 19331264 32923559 38662528 65847118 131694236 263388472 526776944 1053553888 2107107776 4214215552