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3145505216 = 26721019931
BaseRepresentation
bin1011101101111100…
…1001100111000000
322010012211012222012
42323133021213000
522420222131331
61240043032052
7140643232100
oct27337114700
98105735865
103145505216
111374612697
1273950b628
133b189b5b9
1421ba81200
1513623682b
hexbb7c99c0

3145505216 has 84 divisors (see below), whose sum is σ = 7333570296. Its totient is φ = 1334592000.

The previous prime is 3145505183. The next prime is 3145505219. The reversal of 3145505216 is 6125055413.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145505219) by changing a digit.

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, 311771 + ... + 321701.

Almost surely, 23145505216 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 3145505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666785148).

3145505216 is an abundant number, since it is smaller than the sum of its proper divisors (4188065080).

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

3145505216 is a wasteful number, since it uses less digits than its factorization.

3145505216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10058 (or 10041 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 3145505216 is about 56084.8037885486. The cubic root of 3145505216 is about 1465.1996398055.

The spelling of 3145505216 in words is "three billion, one hundred forty-five million, five hundred five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 101 112 196 202 224 392 404 448 707 784 808 1414 1568 1616 2828 3136 3232 4949 5656 6464 9898 9931 11312 19796 19862 22624 39592 39724 45248 69517 79184 79448 139034 158368 158896 278068 316736 317792 486619 556136 635584 973238 1003031 1112272 1946476 2006062 2224544 3892952 4012124 4449088 7021217 7785904 8024248 14042434 15571808 16048496 28084868 31143616 32096992 49148519 56169736 64193984 98297038 112339472 196594076 224678944 393188152 449357888 786376304 1572752608 3145505216