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134016228792 = 233217127862129
BaseRepresentation
bin111110011001111111…
…1010101110110111000
3110210220211011210210100
41330303333111312320
54143431123310132
6141322144515400
712453022102125
oct1746377256670
9423824153710
10134016228792
1151921738286
1221b8191bb60
13c839c88c84
1466b4a4574c
15374574237c
hex1f33fd5db8

134016228792 has 96 divisors (see below), whose sum is σ = 387337766400. Its totient is φ = 41713201152.

The previous prime is 134016228791. The next prime is 134016228799. The reversal of 134016228792 is 297822610431.

134016228792 is a `hidden beast` number, since 1 + 340 + 16 + 228 + 79 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134016228791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275617 + ... + 586512.

It is an arithmetic number, because the mean of its divisors is an integer number (4034768400).

Almost surely, 2134016228792 is an apocalyptic number.

134016228792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134016228792 is an abundant number, since it is smaller than the sum of its proper divisors (253321537608).

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

134016228792 is a wasteful number, since it uses less digits than its factorization.

134016228792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862285 (or 862278 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 134016228792 in words is "one hundred thirty-four billion, sixteen million, two hundred twenty-eight thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 127 136 153 204 254 306 381 408 508 612 762 1016 1143 1224 1524 2159 2286 3048 4318 4572 6477 8636 9144 12954 17272 19431 25908 38862 51816 77724 155448 862129 1724258 2586387 3448516 5172774 6897032 7759161 10345548 14656193 15518322 20691096 29312386 31036644 43968579 58624772 62073288 87937158 109490383 117249544 131905737 175874316 218980766 263811474 328471149 351748632 437961532 527622948 656942298 875923064 985413447 1055245896 1313884596 1861336511 1970826894 2627769192 3722673022 3941653788 5584009533 7445346044 7883307576 11168019066 14890692088 16752028599 22336038132 33504057198 44672076264 67008114396 134016228792