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7421336420 = 225371792313
BaseRepresentation
bin1101110100101100…
…01001101101100100
3201011012112221200212
412322112021231210
5110144330231140
63224224554552
7351623214221
oct67226115544
921135487625
107421336420
113169172993
121531482a58
139136a8034
145058b6948
152d67e4765
hex1ba589b64

7421336420 has 72 divisors (see below), whose sum is σ = 16147360824. Its totient is φ = 2862991872.

The previous prime is 7421336411. The next prime is 7421336441. The reversal of 7421336420 is 246331247.

It can be written as a sum of positive squares in 4 ways, for example, as 283114276 + 7138222144 = 16826^2 + 84488^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23710184 + ... + 23710496.

Almost surely, 27421336420 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 7421336420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8073680412).

7421336420 is an abundant number, since it is smaller than the sum of its proper divisors (8726024404).

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

7421336420 is a wasteful number, since it uses less digits than its factorization.

7421336420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 7421336420 is about 86147.1788278641. The cubic root of 7421336420 is about 1950.5662541357.

Adding to 7421336420 its reverse (246331247), we get a palindrome (7667667667).

The spelling of 7421336420 in words is "seven billion, four hundred twenty-one million, three hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 179 185 313 358 370 626 716 740 895 1252 1565 1790 3130 3580 6260 6623 11581 13246 23162 26492 32041 33115 46324 56027 57905 64082 66230 112054 115810 128164 132460 160205 224108 231620 280135 320410 560270 640820 1120540 1185517 2072999 2371034 4145998 4742068 5927585 8291996 10028833 10364995 11855170 20057666 20729990 23710340 40115332 41459980 50144165 100288330 200576660 371066821 742133642 1484267284 1855334105 3710668210 7421336420