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51677156608 = 2871123113983
BaseRepresentation
bin110000001000001100…
…101101010100000000
311221101110200112222021
4300020030231110000
51321313323002413
635423512451224
73506415404110
oct601014552400
9157343615867
1051677156608
111aa094536a0
12a0226a9b14
134b4737b89c
14270338b040
151526c3518d
hexc0832d500

51677156608 has 144 divisors (see below), whose sum is σ = 134198378496. Its totient is φ = 19258398720.

The previous prime is 51677156599. The next prime is 51677156611. The reversal of 51677156608 is 80665177615.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396385 + ... + 510367.

It is an arithmetic number, because the mean of its divisors is an integer number (931933184).

Almost surely, 251677156608 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 51677156608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67099189248).

51677156608 is an abundant number, since it is smaller than the sum of its proper divisors (82521221888).

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

51677156608 is a wasteful number, since it uses less digits than its factorization.

51677156608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114040 (or 114026 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 52.

The spelling of 51677156608 in words is "fifty-one billion, six hundred seventy-seven million, one hundred fifty-six thousand, six hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 64 77 88 92 112 128 154 161 176 184 224 253 256 308 322 352 368 448 506 616 644 704 736 896 1012 1232 1288 1408 1472 1771 1792 2024 2464 2576 2816 2944 3542 4048 4928 5152 5888 7084 8096 9856 10304 14168 16192 19712 20608 28336 32384 41216 56672 64768 113344 113983 226688 227966 453376 455932 797881 911864 1253813 1595762 1823728 2507626 2621609 3191524 3647456 5015252 5243218 6383048 7294912 8776691 10030504 10486436 12766096 14589824 17553382 18351263 20061008 20972872 25532192 28837699 29179648 35106764 36702526 40122016 41945744 51064384 57675398 70213528 73405052 80244032 83891488 102128768 115350796 140427056 146810104 160488064 167782976 201863893 204257536 230701592 280854112 293620208 320976128 335565952 403727786 461403184 561708224 587240416 671131904 807455572 922806368 1123416448 1174480832 1614911144 1845612736 2246832896 2348961664 3229822288 3691225472 4697923328 6459644576 7382450944 12919289152 25838578304 51677156608