Search a number
-
+
3215149696 = 271110721341
BaseRepresentation
bin1011111110100011…
…0100101010000000
322022001212112020101
42333220310222000
523041034242241
61251011452144
7142450215163
oct27750645200
98261775211
103215149696
1113aa960610
127588b7054
133c3144355
1422700dada
1513c3e1e31
hexbfa34a80

3215149696 has 64 divisors (see below), whose sum is σ = 7053104160. Its totient is φ = 1447705600.

The previous prime is 3215149687. The next prime is 3215149697. The reversal of 3215149696 is 6969415123.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3215149697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139986 + ... + 161326.

Almost surely, 23215149696 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 3215149696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526552080).

3215149696 is an abundant number, since it is smaller than the sum of its proper divisors (3837954464).

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

3215149696 is a wasteful number, since it uses less digits than its factorization.

3215149696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21473 (or 21461 counting only the distinct ones).

The product of its digits is 349920, while the sum is 46.

The square root of 3215149696 is about 56702.2900419375. The cubic root of 3215149696 is about 1475.9344374440.

The spelling of 3215149696 in words is "three billion, two hundred fifteen million, one hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 107 128 176 214 352 428 704 856 1177 1408 1712 2354 3424 4708 6848 9416 13696 18832 21341 37664 42682 75328 85364 150656 170728 234751 341456 469502 682912 939004 1365824 1878008 2283487 2731648 3756016 4566974 7512032 9133948 15024064 18267896 25118357 30048128 36535792 50236714 73071584 100473428 146143168 200946856 292286336 401893712 803787424 1607574848 3215149696