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3205772016 = 243238393461
BaseRepresentation
bin1011111100010100…
…0011001011110000
322021102020002110220
42333011003023300
523031134201031
61250034453040
7142304420046
oct27705031360
98242202426
103205772016
1113a5635a67
12755734180
133c120cb25
14225a8c396
1513b68d596
hexbf1432f0

3205772016 has 80 divisors (see below), whose sum is σ = 8654446080. Its totient is φ = 1020616960.

The previous prime is 3205771967. The next prime is 3205772023. The reversal of 3205772016 is 6102775023.

3205772016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 924526 + ... + 927986.

It is an arithmetic number, because the mean of its divisors is an integer number (108180576).

Almost surely, 23205772016 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 3205772016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327223040).

3205772016 is an abundant number, since it is smaller than the sum of its proper divisors (5448674064).

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

3205772016 is a wasteful number, since it uses less digits than its factorization.

3205772016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 4328 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 3205772016 is about 56619.5374053868. The cubic root of 3205772016 is about 1474.4980793046.

The spelling of 3205772016 in words is "three billion, two hundred five million, seven hundred seventy-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 839 1104 1678 2517 3356 3461 5034 6712 6922 10068 10383 13424 13844 19297 20136 20766 27688 38594 40272 41532 55376 57891 77188 79603 83064 115782 154376 159206 166128 231564 238809 308752 318412 463128 477618 636824 926256 955236 1273648 1910472 2903779 3820944 5807558 8711337 11615116 17422674 23230232 34845348 46460464 66786917 69690696 133573834 139381392 200360751 267147668 400721502 534295336 801443004 1068590672 1602886008 3205772016