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4213312152 = 233767374317
BaseRepresentation
bin1111101100100010…
…0000101010011000
3101212122002102201020
43323020200222120
532112101442102
61534025522440
7206260363620
oct37310405230
911778072636
104213312152
111872339865
12997043420
13521b8a01a
142bd7dd880
15199d5dbbc
hexfb220a98

4213312152 has 64 divisors (see below), whose sum is σ = 12217739520. Its totient is φ = 1185833088.

The previous prime is 4213312127. The next prime is 4213312157. The reversal of 4213312152 is 2512133124.

It is a super-2 number, since 2×42133121522 = 35503998580381742208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213312157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175903 + ... + 198414.

It is an arithmetic number, because the mean of its divisors is an integer number (190902180).

Almost surely, 24213312152 is an apocalyptic number.

4213312152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4213312152 is an abundant number, since it is smaller than the sum of its proper divisors (8004427368).

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

4213312152 is a wasteful number, since it uses less digits than its factorization.

4213312152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374400 (or 374396 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 4213312152 is about 64910.0312124405. The cubic root of 4213312152 is about 1615.1314678575.

Adding to 4213312152 its reverse (2512133124), we get a palindrome (6725445276).

It can be divided in two parts, 42133 and 12152, that added together give a triangular number (54285 = T329).

The spelling of 4213312152 in words is "four billion, two hundred thirteen million, three hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1608 1876 2814 3752 5628 11256 374317 748634 1122951 1497268 2245902 2620219 2994536 4491804 5240438 7860657 8983608 10480876 15721314 20961752 25079239 31442628 50158478 62885256 75237717 100316956 150475434 175554673 200633912 300950868 351109346 526664019 601901736 702218692 1053328038 1404437384 2106656076 4213312152