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134635656512 = 2671671999043
BaseRepresentation
bin111110101100011101…
…0010001010101000000
3110212111222201222212202
41331120322101111000
54201213212002022
6141503433212332
712504253124630
oct1753072212500
9425458658782
10134635656512
115210a355515
12221152610a8
13c9083c7656
1467330086c0
15377eceb592
hex1f58e91540

134635656512 has 112 divisors (see below), whose sum is σ = 308740454400. Its totient is φ = 57060951552.

The previous prime is 134635656511. The next prime is 134635656521. The reversal of 134635656512 is 215656536431.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1346356565122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134635656511) 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 15 ways as a sum of consecutive naturals, for example, 14883863 + ... + 14892905.

It is an arithmetic number, because the mean of its divisors is an integer number (2756611200).

Almost surely, 2134635656512 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 134635656512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154370227200).

134635656512 is an abundant number, since it is smaller than the sum of its proper divisors (174104797888).

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

134635656512 is a wasteful number, since it uses less digits than its factorization.

134635656512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9428 (or 9418 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 47.

The spelling of 134635656512 in words is "one hundred thirty-four billion, six hundred thirty-five million, six hundred fifty-six thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 167 199 224 334 398 448 668 796 1169 1336 1393 1592 2338 2672 2786 3184 4676 5344 5572 6368 9043 9352 10688 11144 12736 18086 18704 22288 33233 36172 37408 44576 63301 66466 72344 74816 89152 126602 132932 144688 232631 253204 265864 289376 465262 506408 531728 578752 930524 1012816 1063456 1510181 1799557 1861048 2025632 2126912 3020362 3599114 3722096 4051264 6040724 7198228 7444192 10571267 12081448 12596899 14396456 14888384 21142534 24162896 25193798 28792912 42285068 48325792 50387596 57585824 84570136 96651584 100775192 115171648 169140272 201550384 300526019 338280544 403100768 601052038 676561088 806201536 1202104076 2103682133 2404208152 4207364266 4808416304 8414728532 9616832608 16829457064 19233665216 33658914128 67317828256 134635656512