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6620254128 = 24322316312263
BaseRepresentation
bin1100010101001100…
…10000111110110000
3122002101011202101100
412022212100332300
5102024241113003
63012531004400
7323025142305
oct61246207660
918071152340
106620254128
112897a62a04
121349139700
13816736647
1446b3490ac
1528b306ba3
hex18a990fb0

6620254128 has 120 divisors (see below), whose sum is σ = 19453254912. Its totient is φ = 2097684864.

The previous prime is 6620253989. The next prime is 6620254129. The reversal of 6620254128 is 8214520266.

It is a happy number.

6620254128 is a `hidden beast` number, since 6 + 620 + 2 + 5 + 4 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6620254092 and 6620254101.

It is not an unprimeable number, because it can be changed into a prime (6620254129) 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, 533725 + ... + 545987.

Almost surely, 26620254128 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 6620254128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9726627456).

6620254128 is an abundant number, since it is smaller than the sum of its proper divisors (12833000784).

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

6620254128 is a wasteful number, since it uses less digits than its factorization.

6620254128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12463 (or 12454 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6620254128 is about 81364.9440975658. The cubic root of 6620254128 is about 1877.6942957298.

The spelling of 6620254128 in words is "six billion, six hundred twenty million, two hundred fifty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 163 184 207 276 326 368 414 489 552 652 828 978 1104 1304 1467 1656 1956 2608 2934 3312 3749 3912 5868 7498 7824 11247 11736 12263 14996 22494 23472 24526 29992 33741 36789 44988 49052 59984 67482 73578 89976 98104 110367 134964 147156 179952 196208 220734 269928 282049 294312 441468 539856 564098 588624 846147 882936 1128196 1692294 1765872 1998869 2256392 2538441 3384588 3997738 4512784 5076882 5996607 6769176 7995476 10153764 11993214 13538352 15990952 17989821 20307528 23986428 31981904 35979642 40615056 45973987 47972856 71959284 91947974 95945712 137921961 143918568 183895948 275843922 287837136 367791896 413765883 551687844 735583792 827531766 1103375688 1655063532 2206751376 3310127064 6620254128