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51050606100 = 223521336133623
BaseRepresentation
bin101111100010110110…
…100110111000010100
311212202210201111020220
4233202312212320110
51314022423343400
635241411354340
73455036664204
oct574266467024
9155683644226
1051050606100
111a717810a5a
129a888b29b0
134a77618140
142684092404
1514dbc207a0
hexbe2da6e14

51050606100 has 144 divisors (see below), whose sum is σ = 159156396672. Its totient is φ = 12559357440.

The previous prime is 51050606027. The next prime is 51050606111. The reversal of 51050606100 is 160605015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14088889 + ... + 14092511.

Almost surely, 251050606100 is an apocalyptic number.

51050606100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51050606100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79578198336).

51050606100 is an abundant number, since it is smaller than the sum of its proper divisors (108105790572).

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

51050606100 is a wasteful number, since it uses less digits than its factorization.

51050606100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7266 (or 7259 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 51050606100 in words is "fifty-one billion, fifty million, six hundred six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3613 3623 3900 7226 7246 10839 10869 14452 14492 18065 18115 21678 21738 36130 36230 43356 43476 46969 47099 54195 54345 72260 72460 90325 90575 93938 94198 108390 108690 140907 141297 180650 181150 187876 188396 216780 217380 234845 235495 270975 271725 281814 282594 361300 362300 469690 470990 541950 543450 563628 565188 704535 706485 939380 941980 1083900 1086900 1174225 1177475 1409070 1412970 2348450 2354950 2818140 2825940 3522675 3532425 4696900 4709900 7045350 7064850 13089899 14090700 14129700 26179798 39269697 52359596 65449495 78539394 130898990 157078788 170168687 196348485 261797980 327247475 340337374 392696970 510506061 654494950 680674748 785393940 850843435 981742425 1021012122 1308989900 1701686870 1963484850 2042024244 2552530305 3403373740 3926969700 4254217175 5105060610 8508434350 10210121220 12762651525 17016868700 25525303050 51050606100