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6331084519424 = 21171801245209
BaseRepresentation
bin101110000100001001000…
…0010110011100000000000
3211102020122011110202222112
41130020102002303200000
51312212030114110144
621244243213154452
71222256114331560
oct134102202634000
924366564422875
106331084519424
112020aa8184225
1286300b48ba28
1336c032144162
1417c5d7408da0
15aea4559999e
hex5c2120b3800

6331084519424 has 96 divisors (see below), whose sum is σ = 14475609439200. Its totient is φ = 2711804313600.

The previous prime is 6331084519423. The next prime is 6331084519427. The reversal of 6331084519424 is 4249154801336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6331084519423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25696532 + ... + 25941740.

It is an arithmetic number, because the mean of its divisors is an integer number (150787598325).

Almost surely, 26331084519424 is an apocalyptic number.

6331084519424 is a gapful number since it is divisible by the number (64) 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 6331084519424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7237804719600).

6331084519424 is an abundant number, since it is smaller than the sum of its proper divisors (8144524919776).

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

6331084519424 is a wasteful number, since it uses less digits than its factorization.

6331084519424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247039 (or 247019 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 6331084519424 in words is "six trillion, three hundred thirty-one billion, eighty-four million, five hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 1801 2048 3584 3602 7168 7204 12607 14336 14408 25214 28816 50428 57632 100856 115264 201712 230528 245209 403424 461056 490418 806848 922112 980836 1613696 1716463 1844224 1961672 3227392 3432926 3688448 3923344 6454784 6865852 7846688 12909568 13731704 15693376 25819136 27463408 31386752 54926816 62773504 109853632 125547008 219707264 251094016 439414528 441621409 502188032 878829056 883242818 1757658112 1766485636 3091349863 3515316224 3532971272 6182699726 7065942544 12365399452 14131885088 24730798904 28263770176 49461597808 56527540352 98923195616 113055080704 197846391232 226110161408 395692782464 452220322816 791385564928 904440645632 1582771129856 3165542259712 6331084519424