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134305732608 = 211323991463
BaseRepresentation
bin111110100010100111…
…1101101100000000000
3110211122222221010100220
41331011033231200000
54200024231420413
6141411005543040
712463135614435
oct1750517554000
9424588833326
10134305732608
1151a600a2833
1222042874a80
13c884c503c8
146701285b8c
153760d7b223
hex1f453ed800

134305732608 has 96 divisors (see below), whose sum is σ = 359563276800. Its totient is φ = 44580773888.

The previous prime is 134305732607. The next prime is 134305732643. The reversal of 134305732608 is 806237503431.

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

It is a super-2 number, since 2×1343057326082 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 134305732608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134305732601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1422685 + ... + 1514147.

It is an arithmetic number, because the mean of its divisors is an integer number (3745450800).

Almost surely, 2134305732608 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 134305732608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179781638400).

134305732608 is an abundant number, since it is smaller than the sum of its proper divisors (225257544192).

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

134305732608 is an equidigital number, since it uses as much as digits as its factorization.

134305732608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91727 (or 91707 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 134305732608 in words is "one hundred thirty-four billion, three hundred five million, seven hundred thirty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 239 256 384 478 512 717 768 956 1024 1434 1536 1912 2048 2868 3072 3824 5736 6144 7648 11472 15296 22944 30592 45888 61184 91463 91776 122368 182926 183552 244736 274389 365852 367104 489472 548778 731704 734208 1097556 1463408 1468416 2195112 2926816 4390224 5853632 8780448 11707264 17560896 21859657 23414528 35121792 43719314 46829056 65578971 70243584 87438628 93658112 131157942 140487168 174877256 187316224 262315884 280974336 349754512 524631768 561948672 699509024 1049263536 1399018048 2098527072 2798036096 4197054144 5596072192 8394108288 11192144384 16788216576 22384288768 33576433152 44768577536 67152866304 134305732608