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47747314134 = 23413213113313
BaseRepresentation
bin101100011101111101…
…100011000111010110
311120020120222212120000
4230131331203013112
51240241303023014
633533530352130
73310136321322
oct543575430726
9146216885500
1047747314134
11192821288a3
12930658b646
13466c152600
14244d49a982
151396c1c509
hexb1df631d6

47747314134 has 120 divisors (see below), whose sum is σ = 116745513192. Its totient is φ = 14578237440.

The previous prime is 47747314133. The next prime is 47747314151. The reversal of 47747314134 is 43141374774.

47747314134 is a `hidden beast` number, since 4 + 7 + 7 + 473 + 141 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 47747314134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47747314133) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3579862 + ... + 3593174.

Almost surely, 247747314134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47747314134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58372756596).

47747314134 is an abundant number, since it is smaller than the sum of its proper divisors (68998199058).

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

47747314134 is a wasteful number, since it uses less digits than its factorization.

47747314134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13484 (or 13462 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The spelling of 47747314134 in words is "forty-seven billion, seven hundred forty-seven million, three hundred fourteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 131 162 169 234 262 338 351 393 507 702 786 1014 1053 1179 1521 1703 2106 2358 3042 3406 3537 4563 5109 7074 9126 10218 10611 13313 13689 15327 21222 22139 26626 27378 30654 39939 44278 45981 66417 79878 91962 119817 132834 137943 173069 199251 239634 275886 346138 359451 398502 519207 597753 718902 1038414 1078353 1195506 1557621 1744003 1793259 2156706 2249897 3115242 3488006 3586518 4499794 4672863 5232009 6749691 9345726 10464018 13499382 14018589 15696027 20249073 22672039 28037178 31392054 40498146 45344078 47088081 60747219 68016117 94176162 121494438 136032234 141264243 182241657 204048351 282528486 294736507 364483314 408096702 589473014 612145053 884209521 1224290106 1768419042 1836435159 2652628563 3672870318 5305257126 7957885689 15915771378 23873657067 47747314134