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6338194869504 = 283292331221379
BaseRepresentation
bin101110000111011100111…
…0110101000110100000000
3211102220222200211222121210
41130032321312220310000
51312321110341311004
621251420532450120
71222630243321311
oct134167166506400
924386880758553
106338194869504
112024016849503
12864474779940
1336c8c62758b4
1417caad88c608
15aed0e910089
hex5c3b9da8d00

6338194869504 has 144 divisors (see below), whose sum is σ = 17525435054400. Its totient is φ = 2031122300928.

The previous prime is 6338194869481. The next prime is 6338194869509. The reversal of 6338194869504 is 4059684918336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6338194869509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4578687 + ... + 5800065.

It is an arithmetic number, because the mean of its divisors is an integer number (121704410100).

Almost surely, 26338194869504 is an apocalyptic number.

6338194869504 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 6338194869504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8762717527200).

6338194869504 is an abundant number, since it is smaller than the sum of its proper divisors (11187240184896).

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

6338194869504 is a wasteful number, since it uses less digits than its factorization.

6338194869504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221660 (or 1221646 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 66.

The spelling of 6338194869504 in words is "six trillion, three hundred thirty-eight billion, one hundred ninety-four million, eight hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 233 256 348 384 464 466 696 699 768 928 932 1392 1398 1856 1864 2784 2796 3712 3728 5568 5592 6757 7424 7456 11136 11184 13514 14912 20271 22272 22368 27028 29824 40542 44736 54056 59648 81084 89472 108112 162168 178944 216224 324336 432448 648672 864896 1221379 1297344 1729792 2442758 2594688 3664137 4885516 5189376 7328274 9771032 14656548 19542064 29313096 35419991 39084128 58626192 70839982 78168256 106259973 117252384 141679964 156336512 212519946 234504768 283359928 284581307 312673024 425039892 469009536 566719856 569162614 850079784 853743921 938019072 1133439712 1138325228 1700159568 1707487842 2266879424 2276650456 3400319136 3414975684 4533758848 4553300912 6800638272 6829951368 8252857903 9067517696 9106601824 13601276544 13659902736 16505715806 18213203648 24758573709 27202553088 27319805472 33011431612 36426407296 49517147418 54639610944 66022863224 72852814592 99034294836 109279221888 132045726448 198068589672 218558443776 264091452896 396137179344 528182905792 792274358688 1056365811584 1584548717376 2112731623168 3169097434752 6338194869504