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65980368448 = 2617972112963
BaseRepresentation
bin111101011100101111…
…001000011001000000
320022022021200222222221
4331130233020121000
52040111433242243
650151100140424
74524024610141
oct753457103100
9208267628887
1065980368448
1125a8921a425
1210954837714
1362b6741447
14329cc31ac8
151ab27adbed
hexf5cbc8640

65980368448 has 112 divisors (see below), whose sum is σ = 140772026304. Its totient is φ = 30573527040.

The previous prime is 65980368413. The next prime is 65980368463. The reversal of 65980368448 is 84486308956.

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 15 ways as a sum of consecutive naturals, for example, 22266615 + ... + 22269577.

It is an arithmetic number, because the mean of its divisors is an integer number (1256893092).

Almost surely, 265980368448 is an apocalyptic number.

65980368448 is a gapful number since it is divisible by the number (68) 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 65980368448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70386013152).

65980368448 is an abundant number, since it is smaller than the sum of its proper divisors (74791657856).

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

65980368448 is a wasteful number, since it uses less digits than its factorization.

65980368448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 61.

The spelling of 65980368448 in words is "sixty-five billion, nine hundred eighty million, three hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 97 136 194 211 272 388 422 544 776 844 1088 1552 1649 1688 2963 3104 3298 3376 3587 5926 6208 6596 6752 7174 11852 13192 13504 14348 20467 23704 26384 28696 40934 47408 50371 52768 57392 81868 94816 100742 105536 114784 163736 189632 201484 229568 287411 327472 347939 402968 574822 625193 654944 695878 805936 1149644 1250386 1309888 1391756 1611872 2299288 2500772 2783512 3223744 4598576 4885987 5001544 5567024 9197152 9771974 10003088 10628281 11134048 18394304 19543948 20006176 21256562 22268096 39087896 40012352 42513124 60643721 78175792 85026248 121287442 156351584 170052496 242574884 312703168 340104992 485149768 680209984 970299536 1030943257 1940599072 2061886514 3881198144 4123773028 8247546056 16495092112 32990184224 65980368448