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61050505100 = 225213208122567
BaseRepresentation
bin111000110110111001…
…001100011110001100
312211120201021222211112
4320312321030132030
52000012412130400
644013552111152
74260613505534
oct706671143614
9184521258745
1061050505100
11239894670a2
12b9b98354b8
1359ac29b640
142d521ca4c4
1518c4aad835
hexe36e4c78c

61050505100 has 72 divisors (see below), whose sum is σ = 142745217888. Its totient is φ = 22529894400.

The previous prime is 61050505067. The next prime is 61050505121. The reversal of 61050505100 is 150505016.

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 23 ways as a sum of consecutive naturals, for example, 2694017 + ... + 2716583.

Almost surely, 261050505100 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 61050505100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71372608944).

61050505100 is an abundant number, since it is smaller than the sum of its proper divisors (81694712788).

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

61050505100 is a wasteful number, since it uses less digits than its factorization.

61050505100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24675 (or 24668 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 61050505100 in words is "sixty-one billion, fifty million, five hundred five thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2081 4162 8324 10405 20810 22567 27053 41620 45134 52025 54106 90268 104050 108212 112835 135265 208100 225670 270530 293371 451340 541060 564175 586742 676325 1128350 1173484 1352650 1466855 2256700 2705300 2933710 5867420 7334275 14668550 29337100 46961927 93923854 187847708 234809635 469619270 610505051 939238540 1174048175 1221010102 2348096350 2442020204 3052525255 4696192700 6105050510 12210101020 15262626275 30525252550 61050505100