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61783731906 = 231329127431499
BaseRepresentation
bin111001100010100110…
…001110111011000010
312220110210222202220220
4321202212032323002
52003013113410111
644214423443510
74315026025161
oct714246167302
9186423882826
1061783731906
1124225340266
12bb832b6596
135a98172660
142dc17333d8
151919145e06
hexe6298eec2

61783731906 has 128 divisors (see below), whose sum is σ = 139345920000. Its totient is φ = 18131662080.

The previous prime is 61783731901. The next prime is 61783731913. The reversal of 61783731906 is 60913738716.

61783731906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61783731901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123814845 + ... + 123815343.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640000).

Almost surely, 261783731906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61783731906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960000).

61783731906 is an abundant number, since it is smaller than the sum of its proper divisors (77562188094).

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

61783731906 is a wasteful number, since it uses less digits than its factorization.

61783731906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104.

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 61783731906 in words is "sixty-one billion, seven hundred eighty-three million, seven hundred thirty-one thousand, nine hundred six".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 127 174 254 377 381 431 499 754 762 862 998 1131 1293 1497 1651 2262 2586 2994 3302 3683 4953 5603 6487 7366 9906 11049 11206 12499 12974 14471 16809 19461 22098 24998 28942 33618 37497 38922 43413 47879 54737 63373 74994 86826 95758 109474 126746 143637 162487 164211 188123 190119 215069 287274 324974 328422 376246 380238 430138 487461 564369 645207 711581 823849 974922 1128738 1290414 1423162 1587373 1647698 1837817 2134743 2471547 2795897 3174746 3675634 4269486 4762119 4943094 5513451 5591794 6237001 8387691 9524238 11026902 12474002 16775382 18711003 20635849 23891621 27313763 37422006 41271698 47783242 54627526 61907547 71674863 81081013 81941289 123815094 143349726 162162026 163882578 243243039 355078919 486486078 710157838 792099127 1065236757 1584198254 2130473514 2376297381 4752594762 10297288651 20594577302 30891865953 61783731906