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5384131434468 = 22325311361940343
BaseRepresentation
bin100111001011001011100…
…1111011101011111100100
3201001201101101011211210200
41032112113033131133210
51201203200121400333
615241234050150500
71063663540036533
oct116262717353744
921051341154720
105384131434468
111796440915796
1272b592882430
1330094bc47a57
1414884422c31a
15950c0e37c13
hex4e5973dd7e4

5384131434468 has 144 divisors (see below), whose sum is σ = 14012339402880. Its totient is φ = 1742402608128.

The previous prime is 5384131434457. The next prime is 5384131434509. The reversal of 5384131434468 is 8644341314835.

5384131434468 is a `hidden beast` number, since 5 + 3 + 8 + 4 + 131 + 43 + 4 + 468 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133438705 + ... + 133479047.

It is an arithmetic number, because the mean of its divisors is an integer number (97307912520).

Almost surely, 25384131434468 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 5384131434468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7006169701440).

5384131434468 is an abundant number, since it is smaller than the sum of its proper divisors (8628207968412).

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

5384131434468 is a wasteful number, since it uses less digits than its factorization.

5384131434468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41138 (or 41133 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 5384131434468 in words is "five trillion, three hundred eighty-four billion, one hundred thirty-one million, four hundred thirty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 113 159 212 226 318 339 452 477 619 636 678 954 1017 1238 1356 1857 1908 2034 2476 3714 4068 5571 5989 7428 11142 11978 17967 22284 23956 32807 35934 40343 53901 65614 69947 71868 80686 98421 107802 121029 131228 139894 161372 196842 209841 215604 242058 279788 295263 363087 393684 419682 484116 590526 629523 726174 839364 1181052 1259046 1452348 2138179 2518092 3707191 4276358 4558759 6414537 7414382 8552716 9117518 11121573 12829074 13676277 14828764 18235036 19243611 22243146 24972317 25658148 27352554 33364719 38487222 41028831 44486292 49944634 54705108 66729438 74916951 76974444 82057662 99889268 133458876 149833902 164115324 224750853 241614227 299667804 449501706 483228454 724842681 899003412 966456908 1323532801 1449685362 2174528043 2647065602 2821871821 2899370724 3970598403 4349056086 5294131204 5643743642 7941196806 8465615463 8698112172 11287487284 11911795209 15882393612 16931230926 23823590418 25396846389 33862461852 47647180836 50793692778 101587385556 149559206513 299118413026 448677619539 598236826052 897355239078 1346032858617 1794710478156 2692065717234 5384131434468