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6228128148792 = 2331153631705421
BaseRepresentation
bin101101010100001100101…
…0111011010110100111000
3211001101212221220020122020
41122220121113122310320
51304020201301230132
621125055040554440
71211652551532654
oct132503127326470
924041787806566
106228128148792
111a91374a78110
12847077622a20
13362404cb79a4
1417762b89ba64
15ac01ba3852c
hex5aa195dad38

6228128148792 has 128 divisors (see below), whose sum is σ = 17333742251520. Its totient is φ = 1848764736000.

The previous prime is 6228128148787. The next prime is 6228128148811. The reversal of 6228128148792 is 2978418218226.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8476242 + ... + 9181662.

It is an arithmetic number, because the mean of its divisors is an integer number (135419861340).

Almost surely, 26228128148792 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 6228128148792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8666871125760).

6228128148792 is an abundant number, since it is smaller than the sum of its proper divisors (11105614102728).

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

6228128148792 is a wasteful number, since it uses less digits than its factorization.

6228128148792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706125 (or 706121 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 60.

The spelling of 6228128148792 in words is "six trillion, two hundred twenty-eight billion, one hundred twenty-eight million, one hundred forty-eight thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 212 264 318 424 583 631 636 1166 1262 1272 1749 1893 2332 2524 3498 3786 4664 5048 6941 6996 7572 13882 13992 15144 20823 27764 33443 41646 55528 66886 83292 100329 133772 166584 200658 267544 367873 401316 705421 735746 802632 1103619 1410842 1471492 2116263 2207238 2821684 2942984 4232526 4414476 5643368 7759631 8465052 8828952 15519262 16930104 23278893 31038524 37387313 46557786 62077048 74774626 93115572 112161939 149549252 186231144 224323878 299098504 411260443 445120651 448647756 822520886 890241302 897295512 1233781329 1335361953 1645041772 1780482604 2467562658 2670723906 3290083544 3560965208 4896327161 4935125316 5341447812 9792654322 9870250632 10682895624 14688981483 19585308644 23591394503 29377962966 39170617288 47182789006 58755925932 70774183509 94365578012 117511851864 141548367018 188731156024 259505339533 283096734036 519010679066 566193468072 778516018599 1038021358132 1557032037198 2076042716264 3114064074396 6228128148792