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6009994817328 = 243677438093109
BaseRepresentation
bin101011101110100111110…
…0110110010111100110000
3210021112211212112212201210
41113131033212302330300
51241431432133123303
620440541542400120
71160131163026245
oct127351746627460
923245755485653
106009994817328
111a07908437667
1281093b130040
13347980c542a8
1416ac573a35cc
15a6501670203
hex5774f9b2f30

6009994817328 has 160 divisors (see below), whose sum is σ = 15803342092800. Its totient is φ = 1967705929728.

The previous prime is 6009994817303. The next prime is 6009994817369. The reversal of 6009994817328 is 8237184999006.

It is a super-2 number, since 2×60099948173282 (a number of 26 digits) contains 22 as substring.

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, 1933094238 + ... + 1933097346.

It is an arithmetic number, because the mean of its divisors is an integer number (98770888080).

Almost surely, 26009994817328 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 6009994817328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7901671046400).

6009994817328 is an abundant number, since it is smaller than the sum of its proper divisors (9793347275472).

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

6009994817328 is a wasteful number, since it uses less digits than its factorization.

6009994817328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 66.

The spelling of 6009994817328 in words is "six trillion, nine billion, nine hundred ninety-four million, eight hundred seventeen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 743 804 809 1072 1486 1608 1618 2229 2427 2972 3109 3216 3236 4458 4854 5944 6218 6472 8916 9327 9708 11888 12436 12944 17832 18654 19416 24872 35664 37308 38832 49744 49781 54203 74616 99562 108406 149232 149343 162609 199124 208303 216812 298686 325218 398248 416606 433624 597372 601087 624909 650436 796496 833212 867248 1194744 1202174 1249818 1300872 1666424 1803261 2309987 2389488 2404348 2499636 2515181 2601744 3332848 3606522 4619974 4808696 4999272 5030362 6929961 7213044 7545543 9239948 9617392 9998544 10060724 13859922 14426088 15091086 18479896 20121448 27719844 28852176 30182172 36959792 40242896 40272829 55439688 60364344 80545658 110879376 120728688 120818487 154769129 161091316 168517127 241636974 309538258 322182632 337034254 464307387 483273948 505551381 619076516 644365264 674068508 928614774 966547896 1011102762 1238153032 1348137016 1857229548 1868779483 1933095792 2022205524 2476306064 2696274032 3714459096 3737558966 4044411048 5606338449 7428918192 7475117932 8088822096 11212676898 14950235864 22425353796 29900471728 44850707592 89701415184 125208225361 250416450722 375624676083 500832901444 751249352166 1001665802888 1502498704332 2003331605776 3004997408664 6009994817328