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5346439616 = 267173718973
BaseRepresentation
bin1001111101010110…
…00011000111000000
3111210121021021101002
410332223003013000
541422142031431
62242304431132
7246326662340
oct47653030700
914717237332
105346439616
1122a3a20241
1210526184a8
1367286934b
1438a0c2d20
1521458a3cb
hex13eac31c0

5346439616 has 112 divisors (see below), whose sum is σ = 13185867456. Its totient is φ = 2098151424.

The previous prime is 5346439613. The next prime is 5346439661. The reversal of 5346439616 is 6169346435.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5346439613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272306 + ... + 291278.

Almost surely, 25346439616 is an apocalyptic number.

5346439616 is a gapful number since it is divisible by the number (56) 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 5346439616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592933728).

5346439616 is an abundant number, since it is smaller than the sum of its proper divisors (7839427840).

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

5346439616 is a wasteful number, since it uses less digits than its factorization.

5346439616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19046 (or 19036 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 47.

The square root of 5346439616 is about 73119.3518570836. The cubic root of 5346439616 is about 1748.5909327976.

The spelling of 5346439616 in words is "five billion, three hundred forty-six million, four hundred thirty-nine thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 37 56 64 68 74 112 119 136 148 224 238 259 272 296 448 476 518 544 592 629 952 1036 1088 1184 1258 1904 2072 2368 2516 3808 4144 4403 5032 7616 8288 8806 10064 16576 17612 18973 20128 35224 37946 40256 70448 75892 132811 140896 151784 265622 281792 303568 322541 531244 607136 645082 702001 1062488 1214272 1290164 1404002 2124976 2257787 2580328 2808004 4249952 4515574 4914007 5160656 5616008 8499904 9031148 9828014 10321312 11232016 11934017 18062296 19656028 20642624 22464032 23868034 36124592 39312056 44928064 47736068 72249184 78624112 83538119 95472136 144498368 157248224 167076238 190944272 314496448 334152476 381888544 668304952 763777088 1336609904 2673219808 5346439616