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3193090056 = 2332132397661
BaseRepresentation
bin1011111001010010…
…1011000000001000
322020112100210002200
42332110223000020
523014412340211
61244503000200
7142061550312
oct27624530010
98215323080
103193090056
111399463902
12751439060
133bb6bc600
1422410a7b2
1513a4d5b56
hexbe52b008

3193090056 has 144 divisors (see below), whose sum is σ = 9402141060. Its totient is φ = 978531840.

The previous prime is 3193090039. The next prime is 3193090057. The reversal of 3193090056 is 6500903913.

It can be written as a sum of positive squares in 6 ways, for example, as 1135016100 + 2058073956 = 33690^2 + 45366^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3193090056.

It is not an unprimeable number, because it can be changed into a prime (3193090057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4830366 + ... + 4831026.

Almost surely, 23193090056 is an apocalyptic number.

3193090056 is a gapful number since it is divisible by the number (36) 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 3193090056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701070530).

3193090056 is an abundant number, since it is smaller than the sum of its proper divisors (6209051004).

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

3193090056 is a wasteful number, since it uses less digits than its factorization.

3193090056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 3193090056 is about 56507.4336348767. The cubic root of 3193090056 is about 1472.5511495997.

Adding to 3193090056 its reverse (6500903913), we get a palindrome (9693993969).

The spelling of 3193090056 in words is "three billion, one hundred ninety-three million, ninety thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 397 468 507 661 676 794 936 1014 1191 1322 1352 1521 1588 1983 2028 2382 2644 3042 3176 3573 3966 4056 4764 5161 5288 5949 6084 7146 7932 8593 9528 10322 11898 12168 14292 15483 15864 17186 20644 23796 25779 28584 30966 34372 41288 46449 47592 51558 61932 67093 68744 77337 92898 103116 111709 123864 134186 154674 185796 201279 206232 223418 262417 268372 309348 335127 371592 402558 446836 524834 536744 603837 618696 670254 787251 805116 893672 1005381 1049668 1207674 1340508 1574502 1610232 2010762 2099336 2361753 2415348 2681016 3149004 3411421 4021524 4723506 4830696 6298008 6822842 8043048 9447012 10234263 13645684 18894024 20468526 27291368 30702789 40937052 44348473 61405578 81874104 88696946 122811156 133045419 177393892 245622312 266090838 354787784 399136257 532181676 798272514 1064363352 1596545028 3193090056