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1961814426 = 23111379103281
BaseRepresentation
bin111010011101110…
…1110100110011010
312001201111111110120
41310323232212122
513004211030201
6522400254110
766421101405
oct16473564632
95051444416
101961814426
11917436240
12469011336
13253597650
14148798d3c
15b736d536
hex74eee99a

1961814426 has 128 divisors (see below), whose sum is σ = 4730019840. Its totient is φ = 534643200.

The previous prime is 1961814401. The next prime is 1961814431. The reversal of 1961814426 is 6244181691.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 6981406 + ... + 6981686.

It is an arithmetic number, because the mean of its divisors is an integer number (36953280).

Almost surely, 21961814426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1961814426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365009920).

1961814426 is an abundant number, since it is smaller than the sum of its proper divisors (2768205414).

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

1961814426 is a wasteful number, since it uses less digits than its factorization.

1961814426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492.

The product of its digits is 82944, while the sum is 42.

The square root of 1961814426 is about 44292.3743549609. The cubic root of 1961814426 is about 1251.8510018940.

The spelling of 1961814426 in words is "one billion, nine hundred sixty-one million, eight hundred fourteen thousand, four hundred twenty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 79 103 143 158 206 237 281 286 309 429 474 562 618 843 858 869 1027 1133 1339 1686 1738 2054 2266 2607 2678 3081 3091 3399 3653 4017 5214 6162 6182 6798 7306 8034 8137 9273 10959 11297 14729 16274 18546 21918 22199 22594 24411 28943 29458 33891 40183 44187 44398 48822 57886 66597 67782 80366 86829 88374 89507 105781 120549 133194 173658 179014 211562 241098 244189 268521 288587 317343 318373 376259 488378 537042 577174 634686 636746 732567 752518 865761 955119 1128777 1163591 1465134 1731522 1910238 2257554 2286497 2327182 3174457 3490773 4138849 4572994 6348914 6859491 6981546 8277698 9523371 12416547 13718982 19046742 24833094 25151467 29724461 50302934 59448922 75454401 89173383 150908802 178346766 326969071 653938142 980907213 1961814426