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6421611312 = 24353153279
BaseRepresentation
bin1011111101100001…
…00000001100110000
3121120112101122200000
411332300200030300
5101122413030222
62541113230000
7315063536604
oct57660401460
917515348600
106421611312
1127a5917696
1212b2702300
137b453600c
1444cbdb504
15278b699ac
hex17ec20330

6421611312 has 120 divisors (see below), whose sum is σ = 19238768640. Its totient is φ = 2071448640.

The previous prime is 6421611311. The next prime is 6421611341. The reversal of 6421611312 is 2131161246.

It is a happy number.

6421611312 is a `hidden beast` number, since 6 + 42 + 1 + 611 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×64216113122 = 82474183684812722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6421611311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93889 + ... + 147167.

It is an arithmetic number, because the mean of its divisors is an integer number (160323072).

Almost surely, 26421611312 is an apocalyptic number.

6421611312 is a gapful number since it is divisible by the number (62) 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 6421611312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9619384320).

6421611312 is an abundant number, since it is smaller than the sum of its proper divisors (12817157328).

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

6421611312 is a wasteful number, since it uses less digits than its factorization.

6421611312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53333 (or 53315 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 6421611312 is about 80134.9568665261. The cubic root of 6421611312 is about 1858.7229944247.

Adding to 6421611312 its reverse (2131161246), we get a palindrome (8552772558).

The spelling of 6421611312 in words is "six billion, four hundred twenty-one million, six hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 243 248 279 324 372 432 486 496 558 648 744 837 972 1116 1296 1488 1674 1944 2232 2511 3348 3888 4464 5022 6696 7533 10044 13392 15066 20088 30132 40176 53279 60264 106558 120528 159837 213116 319674 426232 479511 639348 852464 959022 1278696 1438533 1651649 1918044 2557392 2877066 3303298 3836088 4315599 4954947 5754132 6606596 7672176 8631198 9909894 11508264 12946797 13213192 14864841 17262396 19819788 23016528 25893594 26426384 29729682 34524792 39639576 44594523 51787188 59459364 69049584 79279152 89189046 103574376 118918728 133783569 178378092 207148752 237837456 267567138 356756184 401350707 535134276 713512368 802701414 1070268552 1605402828 2140537104 3210805656 6421611312