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7021421136 = 2432315213019
BaseRepresentation
bin1101000101000001…
…00110001001010000
3200010100001011001200
412202200212021100
5103334440434021
63120421231200
7335666044362
oct64240461120
920110034050
107021421136
112a83455694
12143b562500
1387b896182
144a8734d32
152b164b126
hex1a2826250

7021421136 has 120 divisors (see below), whose sum is σ = 20329770240. Its totient is φ = 2259878400.

The previous prime is 7021421051. The next prime is 7021421137. The reversal of 7021421136 is 6311241207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7021421137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2324235 + ... + 2327253.

It is an arithmetic number, because the mean of its divisors is an integer number (169414752).

Almost surely, 27021421136 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 7021421136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10164885120).

7021421136 is an abundant number, since it is smaller than the sum of its proper divisors (13308349104).

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

7021421136 is a wasteful number, since it uses less digits than its factorization.

7021421136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7021421136 is about 83793.9206386716. The cubic root of 7021421136 is about 1914.8804890116.

The spelling of 7021421136 in words is "seven billion, twenty-one million, four hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 521 558 744 1042 1116 1488 1563 2084 2232 3019 3126 4168 4464 4689 6038 6252 8336 9057 9378 12076 12504 16151 18114 18756 24152 25008 27171 32302 36228 37512 48304 48453 54342 64604 72456 75024 93589 96906 108684 129208 144912 145359 187178 193812 217368 258416 280767 290718 374356 387624 434736 561534 581436 748712 775248 842301 1123068 1162872 1497424 1572899 1684602 2246136 2325744 3145798 3369204 4492272 4718697 6291596 6738408 9437394 12583192 13476816 14156091 18874788 25166384 28312182 37749576 48759869 56624364 75499152 97519738 113248728 146279607 195039476 226497456 292559214 390078952 438838821 585118428 780157904 877677642 1170236856 1755355284 2340473712 3510710568 7021421136