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61051006050 = 235217107223753
BaseRepresentation
bin111000110110111011…
…000110110001100010
312211120202020110000020
4320312323012301202
52000013024143200
644014010534310
74260620663166
oct706673066142
9184522213006
1061051006050
1123989779501
12b9b9a37396
1359ac415668
142d522baca6
1518c4b5bea0
hexe36ec6c62

61051006050 has 96 divisors (see below), whose sum is σ = 161811732672. Its totient is φ = 15179335680.

The previous prime is 61051006031. The next prime is 61051006061. The reversal of 61051006050 is 5060015016.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 61051006050.

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, 160974 + ... + 384726.

It is an arithmetic number, because the mean of its divisors is an integer number (1685538882).

Almost surely, 261051006050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61051006050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80905866336).

61051006050 is an abundant number, since it is smaller than the sum of its proper divisors (100760726622).

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

61051006050 is a wasteful number, since it uses less digits than its factorization.

61051006050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223892 (or 223887 counting only the distinct ones).

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

The spelling of 61051006050 in words is "sixty-one billion, fifty-one million, six thousand, fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 107 150 170 214 255 321 425 510 535 642 850 1070 1275 1605 1819 2550 2675 3210 3638 5350 5457 8025 9095 10914 16050 18190 27285 45475 54570 90950 136425 223753 272850 447506 671259 1118765 1342518 2237530 3356295 3803801 5593825 6712590 7607602 11187650 11411403 16781475 19019005 22822806 23941571 33562950 38038010 47883142 57057015 71824713 95095025 114114030 119707855 143649426 190190050 239415710 285285075 359123565 407006707 570570150 598539275 718247130 814013414 1197078550 1221020121 1795617825 2035033535 2442040242 3591235650 4070067070 6105100605 10175167675 12210201210 20350335350 30525503025 61051006050