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2133141396096 = 2737976192401
BaseRepresentation
bin11111000010101001001…
…000101001101010000000
321112221000021212112220110
4133002221020221222000
5234422133144133341
64311541315111320
7310054142461434
oct37025110515200
97487007775813
102133141396096
11752729786337
122a55008a2540
131262011c9059
147535d24a9c4
153a74ba15216
hex1f0a9229a80

2133141396096 has 128 divisors (see below), whose sum is σ = 5745482438400. Its totient is φ = 701116416000.

The previous prime is 2133141396079. The next prime is 2133141396107. The reversal of 2133141396096 is 6906931413312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 23039496 + ... + 23131896.

It is an arithmetic number, because the mean of its divisors is an integer number (44886581550).

Almost surely, 22133141396096 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 2133141396096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872741219200).

2133141396096 is an abundant number, since it is smaller than the sum of its proper divisors (3612341042304).

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

2133141396096 is an equidigital number, since it uses as much as digits as its factorization.

2133141396096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93258 (or 93246 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The spelling of 2133141396096 in words is "two trillion, one hundred thirty-three billion, one hundred forty-one million, three hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 761 948 1264 1522 1896 2283 2528 3044 3792 4566 5056 6088 7584 9132 10112 12176 15168 18264 24352 30336 36528 48704 60119 73056 92401 97408 120238 146112 180357 184802 240476 277203 292224 360714 369604 480952 554406 721428 739208 961904 1108812 1442856 1478416 1923808 2217624 2885712 2956832 3847616 4435248 5771424 5913664 7299679 7695232 8870496 11542848 11827328 14599358 17740992 21899037 23085696 29198716 35481984 43798074 58397432 70317161 87596148 116794864 140634322 175192296 210951483 233589728 281268644 350384592 421902966 467179456 562537288 700769184 843805932 934358912 1125074576 1401538368 1687611864 2250149152 2803076736 3375223728 4500298304 5555055719 6750447456 9000596608 11110111438 13500894912 16665167157 22220222876 27001789824 33330334314 44440445752 66660668628 88880891504 133321337256 177761783008 266642674512 355523566016 533285349024 711047132032 1066570698048 2133141396096