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1968084378 = 234132341991
BaseRepresentation
bin111010101001110…
…1001010110011010
312002011022001020000
41311103221112122
513012312200003
6523142513430
766525304221
oct16523512632
95064261200
101968084378
1191aa28a17
1246b135876
13254981490
1414954bcb8
15b7bab1a3
hex754e959a

1968084378 has 160 divisors (see below), whose sum is σ = 5081674752. Its totient is φ = 564537600.

The previous prime is 1968084347. The next prime is 1968084409. The reversal of 1968084378 is 8734808691.

1968084378 is a `hidden beast` number, since 196 + 8 + 0 + 84 + 378 = 666.

It is an interprime number because it is at equal distance from previous prime (1968084347) and next prime (1968084409).

It is a super-2 number, since 2×19680843782 = 7746712237855293768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1985463 + ... + 1986453.

Almost surely, 21968084378 is an apocalyptic number.

1968084378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968084378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540837376).

1968084378 is an abundant number, since it is smaller than the sum of its proper divisors (3113590374).

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

1968084378 is a wasteful number, since it uses less digits than its factorization.

1968084378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 1968084378 is about 44363.0970289496. The cubic root of 1968084378 is about 1253.1832207766.

The spelling of 1968084378 in words is "one billion, nine hundred sixty-eight million, eighty-four thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 41 46 54 69 78 81 82 117 123 138 162 207 234 246 299 351 369 414 533 598 621 702 738 897 943 991 1053 1066 1107 1242 1599 1794 1863 1886 1982 2106 2214 2691 2829 2973 3198 3321 3726 4797 5382 5658 5946 6642 8073 8487 8919 9594 12259 12883 14391 16146 16974 17838 22793 24219 24518 25461 25766 26757 28782 36777 38649 40631 43173 45586 48438 50922 53514 68379 73554 76383 77298 80271 81262 86346 110331 115947 121893 136758 152766 160542 205137 220662 231894 243786 296309 330993 347841 365679 410274 528203 592618 615411 661986 695682 731358 888927 934513 992979 1043523 1056406 1097037 1230822 1584609 1777854 1846233 1869026 1985958 2087046 2194074 2666781 2803539 3169218 3291111 3692466 4753827 5333562 5607078 6582222 8000343 8410617 9507654 12148669 14261481 16000686 16821234 24001029 24297338 25231851 28522962 36446007 42784443 48002058 50463702 72892014 75695553 85568886 109338021 151391106 218676042 328014063 656028126 984042189 1968084378