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3980063712 = 253316719961
BaseRepresentation
bin1110110100111010…
…1111001111100000
3101021101012012000010
43231032233033200
531122344014322
61454534324520
7200425661202
oct35516571740
911241165003
103980063712
111762707859
12930ab9740
134b57612b1
1429a844772
1518463820c
hexed3af3e0

3980063712 has 96 divisors (see below), whose sum is σ = 10946202624. Its totient is φ = 1264665600.

The previous prime is 3980063683. The next prime is 3980063753. The reversal of 3980063712 is 2173600893.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 189412 + ... + 209372.

It is an arithmetic number, because the mean of its divisors is an integer number (114022944).

Almost surely, 23980063712 is an apocalyptic number.

3980063712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3980063712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5473101312).

3980063712 is an abundant number, since it is smaller than the sum of its proper divisors (6966138912).

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

3980063712 is a wasteful number, since it uses less digits than its factorization.

3980063712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20072 (or 20064 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 3980063712 is about 63087.7461318757. The cubic root of 3980063712 is about 1584.7594180187.

The spelling of 3980063712 in words is "three billion, nine hundred eighty million, sixty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 67 93 96 124 134 186 201 248 268 372 402 496 536 744 804 992 1072 1488 1608 2077 2144 2976 3216 4154 6231 6432 8308 12462 16616 19961 24924 33232 39922 49848 59883 66464 79844 99696 119766 159688 199392 239532 319376 479064 618791 638752 958128 1237582 1337387 1856373 1916256 2475164 2674774 3712746 4012161 4950328 5349548 7425492 8024322 9900656 10699096 14850984 16048644 19801312 21398192 29701968 32097288 41458997 42796384 59403936 64194576 82917994 124376991 128389152 165835988 248753982 331671976 497507964 663343952 995015928 1326687904 1990031856 3980063712