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134735203152096 = 2538091734847589
BaseRepresentation
bin11110101000101001111011…
…111011000011000011100000
3122200001120002222010210122220
4132220221323323003003200
5120130000144001331341
61154320255311031040
740244203636330611
oct3650517373030340
9580046088123586
10134735203152096
1139a26973704718
1213140702b0b480
135a24623b60461
14253b30bcb1c08
151089b89e19a66
hex7a8a7bec30e0

134735203152096 has 48 divisors (see below), whose sum is σ = 354117090070800. Its totient is φ = 44856219235328.

The previous prime is 134735203152079. The next prime is 134735203152169. The reversal of 134735203152096 is 690251302537431.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 867346131 + ... + 867501458.

It is an arithmetic number, because the mean of its divisors is an integer number (7377439376475).

Almost surely, 2134735203152096 is an apocalyptic number.

134735203152096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

134735203152096 is an abundant number, since it is smaller than the sum of its proper divisors (219381886918704).

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

134735203152096 is a wasteful number, since it uses less digits than its factorization.

134735203152096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734848411 (or 1734848403 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 134735203152096 in words is "one hundred thirty-four trillion, seven hundred thirty-five billion, two hundred three million, one hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 809 1618 2427 3236 4854 6472 9708 12944 19416 25888 38832 77664 1734847589 3469695178 5204542767 6939390356 10409085534 13878780712 20818171068 27757561424 41636342136 55515122848 83272684272 166545368544 1403491699501 2806983399002 4210475098503 5613966798004 8420950197006 11227933596008 16841900394012 22455867192016 33683800788024 44911734384032 67367601576048 134735203152096