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3195396992 = 27232411151
BaseRepresentation
bin1011111001110101…
…1110001110000000
322020200200222121202
42332131132032000
523021010200432
61245024240332
7142120266134
oct27635361600
98220628552
103195396992
11139a79a067
127521700a8
133bc019668
1422454b3c4
1513a7de462
hexbe75e380

3195396992 has 96 divisors (see below), whose sum is σ = 6822869760. Its totient is φ = 1489664000.

The previous prime is 3195396949. The next prime is 3195397001. The reversal of 3195396992 is 2996935913.

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 11 ways as a sum of consecutive naturals, for example, 2775617 + ... + 2776767.

It is an arithmetic number, because the mean of its divisors is an integer number (71071560).

Almost surely, 23195396992 is an apocalyptic number.

3195396992 is a gapful number since it is divisible by the number (32) 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 3195396992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411434880).

3195396992 is an abundant number, since it is smaller than the sum of its proper divisors (3627472768).

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

3195396992 is a wasteful number, since it uses less digits than its factorization.

3195396992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1217 counting only the distinct ones).

The product of its digits is 3542940, while the sum is 56.

The square root of 3195396992 is about 56527.8426264438. The cubic root of 3195396992 is about 1472.9056926309.

The spelling of 3195396992 in words is "three billion, one hundred ninety-five million, three hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 41 46 64 82 92 128 164 184 328 368 529 656 736 943 1058 1151 1312 1472 1886 2116 2302 2624 2944 3772 4232 4604 5248 7544 8464 9208 15088 16928 18416 21689 26473 30176 33856 36832 43378 47191 52946 60352 67712 73664 86756 94382 105892 120704 147328 173512 188764 211784 347024 377528 423568 608879 694048 755056 847136 1085393 1217758 1388096 1510112 1694272 2170786 2435516 2776192 3020224 3388544 4341572 4871032 6040448 8683144 9742064 17366288 19484128 24964039 34732576 38968256 49928078 69465152 77936512 99856156 138930304 199712312 399424624 798849248 1597698496 3195396992