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133004416530144 = 25330718223247649
BaseRepresentation
bin11110001111011110000001…
…000000000011011011100000
3122102221002122110202112121110
4132033132001000003123200
5114413121021112431034
61150513215131023320
740005152300641665
oct3617360100033340
9572832573675543
10133004416530144
1139419946793415
1212b01191b9ab40
13592a3550b5023
1424bb63b873a6c
151059b3b8ddde9
hex78f7810036e0

133004416530144 has 96 divisors (see below), whose sum is σ = 350294482137600. Its totient is φ = 44187789053952.

The previous prime is 133004416530079. The next prime is 133004416530173. The reversal of 133004416530144 is 441035614400331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536944432 + ... + 537192080.

It is an arithmetic number, because the mean of its divisors is an integer number (3648900855600).

Almost surely, 2133004416530144 is an apocalyptic number.

It is an amenable number.

133004416530144 is an abundant number, since it is smaller than the sum of its proper divisors (217290065607456).

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

133004416530144 is a wasteful number, since it uses less digits than its factorization.

133004416530144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266192 (or 266184 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 133004416530144 in words is "one hundred thirty-three trillion, four billion, four hundred sixteen million, five hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 307 614 921 1228 1842 2456 3684 4912 7368 9824 14736 18223 29472 36446 54669 72892 109338 145784 218676 247649 291568 437352 495298 583136 742947 874704 990596 1485894 1749408 1981192 2971788 3962384 5594461 5943576 7924768 11188922 11887152 16783383 22377844 23774304 33566766 44755688 67133532 76028243 89511376 134267064 152056486 179022752 228084729 268534128 304112972 456169458 537068256 608225944 912338916 1216451888 1824677832 2432903776 3649355664 4512907727 7298711328 9025815454 13538723181 18051630908 27077446362 36103261816 54154892724 72206523632 108309785448 144413047264 216619570896 433239141792 1385462672189 2770925344378 4156388016567 5541850688756 8312776033134 11083701377512 16625552066268 22167402755024 33251104132536 44334805510048 66502208265072 133004416530144