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61050105006 = 23113137806453
BaseRepresentation
bin111000110110110111…
…101010110010101110
312211120200112200000020
4320312313222302232
52000012311330011
644013535343010
74260610221222
oct706667526256
9184520480006
1061050105006
1123989213540
12b9b9681a66
1359ac18b4b7
142d52124782
1518c4a30006
hexe36deacae

61050105006 has 64 divisors (see below), whose sum is σ = 141213321216. Its totient is φ = 17419363200.

The previous prime is 61050104987. The next prime is 61050105019. The reversal of 61050105006 is 60050105016.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327525 + ... + 478928.

It is an arithmetic number, because the mean of its divisors is an integer number (2206458144).

Almost surely, 261050105006 is an apocalyptic number.

61050105006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

61050105006 is an abundant number, since it is smaller than the sum of its proper divisors (80163216210).

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

61050105006 is a wasteful number, since it uses less digits than its factorization.

61050105006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806537.

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

The spelling of 61050105006 in words is "sixty-one billion, fifty million, one hundred five thousand, six".

Divisors: 1 2 3 6 11 22 31 33 37 62 66 74 93 111 186 222 341 407 682 814 1023 1147 1221 2046 2294 2442 3441 6882 12617 25234 37851 75702 806453 1612906 2419359 4838718 8870983 17741966 25000043 26612949 29838761 50000086 53225898 59677522 75000129 89516283 150000258 179032566 275000473 328226371 550000946 656452742 825001419 925001591 984679113 1650002838 1850003182 1969358226 2775004773 5550009546 10175017501 20350035002 30525052503 61050105006