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3705255664 = 2411199711423
BaseRepresentation
bin1101110011011001…
…1011011011110000
3100120020002111020021
43130312123123300
530042021140124
61411400253224
7160551103435
oct33466333360
910506074207
103705255664
11163157a470
12874a71214
13470843b96
1427214bb8c
1516a4537e4
hexdcd9b6f0

3705255664 has 80 divisors (see below), whose sum is σ = 8329466880. Its totient is φ = 1578977280.

The previous prime is 3705255661. The next prime is 3705255677. The reversal of 3705255664 is 4665525073.

It is a self number, because there is not a number n which added to its sum of digits gives 3705255664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3705255661) by changing a digit.

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, 318657 + ... + 330079.

It is an arithmetic number, because the mean of its divisors is an integer number (104118336).

Almost surely, 23705255664 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 3705255664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164733440).

3705255664 is an abundant number, since it is smaller than the sum of its proper divisors (4624211216).

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

3705255664 is a wasteful number, since it uses less digits than its factorization.

3705255664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11558 (or 11552 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 43.

The square root of 3705255664 is about 60870.8112645133. The cubic root of 3705255664 is about 1547.4123545404.

The spelling of 3705255664 in words is "three billion, seven hundred five million, two hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 97 152 176 194 209 304 388 418 776 836 1067 1552 1672 1843 2134 3344 3686 4268 7372 8536 11423 14744 17072 20273 22846 29488 40546 45692 81092 91384 125653 162184 182768 217037 251306 324368 434074 502612 868148 1005224 1108031 1736296 2010448 2216062 2387407 3472592 4432124 4774814 8864248 9549628 12188341 17728496 19099256 21052589 24376682 38198512 42105178 48753364 84210356 97506728 168420712 195013456 231578479 336841424 463156958 926313916 1852627832 3705255664