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3553988064 = 253117346103
BaseRepresentation
bin1101001111010101…
…1000110111100000
3100011200110022002120
43103311120313200
524234310104224
61344354144240
7154033254144
oct32365306740
910150408076
103553988064
111564151920
12832282080
134483c0023
1425a013224
1515c023779
hexd3d58de0

3553988064 has 96 divisors (see below), whose sum is σ = 10316968704. Its totient is φ = 1062190080.

The previous prime is 3553988051. The next prime is 3553988071. The reversal of 3553988064 is 4608893553.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 3553987998 and 3553988016.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 54037 + ... + 100139.

It is an arithmetic number, because the mean of its divisors is an integer number (107468424).

Almost surely, 23553988064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3553988064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5158484352).

3553988064 is an abundant number, since it is smaller than the sum of its proper divisors (6762980640).

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

3553988064 is a wasteful number, since it uses less digits than its factorization.

3553988064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46200 (or 46192 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The square root of 3553988064 is about 59615.3341347677. The cubic root of 3553988064 is about 1526.0613325310.

The spelling of 3553988064 in words is "three billion, five hundred fifty-three million, nine hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 73 88 96 132 146 176 219 264 292 352 438 528 584 803 876 1056 1168 1606 1752 2336 2409 3212 3504 4818 6424 7008 9636 12848 19272 25696 38544 46103 77088 92206 138309 184412 276618 368824 507133 553236 737648 1014266 1106472 1475296 1521399 2028532 2212944 3042798 3365519 4057064 4425888 6085596 6731038 8114128 10096557 12171192 13462076 16228256 20193114 24342384 26924152 37020709 40386228 48684768 53848304 74041418 80772456 107696608 111062127 148082836 161544912 222124254 296165672 323089824 444248508 592331344 888497016 1184662688 1776994032 3553988064