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5145105312 = 25337183873
BaseRepresentation
bin1001100101010110…
…00001001110100000
3111021120102102122000
410302223001032200
541014121332222
62210313244000
7241333450014
oct46253011640
914246372560
105145105312
112200306856
12bb7103600
1363cc35919
1436b474544
15201a6a9ac
hex132ac13a0

5145105312 has 96 divisors (see below), whose sum is σ = 15218098560. Its totient is φ = 1690859520.

The previous prime is 5145105307. The next prime is 5145105319. The reversal of 5145105312 is 2135015415.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5145105319) 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 15 ways as a sum of consecutive naturals, for example, 19408 + ... + 103280.

It is an arithmetic number, because the mean of its divisors is an integer number (158521860).

Almost surely, 25145105312 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 5145105312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7609049280).

5145105312 is an abundant number, since it is smaller than the sum of its proper divisors (10072993248).

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

5145105312 is a wasteful number, since it uses less digits than its factorization.

5145105312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83963 (or 83949 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 5145105312 is about 71729.3894578784. The cubic root of 5145105312 is about 1726.3602307140.

The spelling of 5145105312 in words is "five billion, one hundred forty-five million, one hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 426 432 568 639 852 864 1136 1278 1704 1917 2272 2556 3408 3834 5112 6816 7668 10224 15336 20448 30672 61344 83873 167746 251619 335492 503238 670984 754857 1006476 1341968 1509714 2012952 2264571 2683936 3019428 4025904 4529142 5954983 6038856 8051808 9058284 11909966 12077712 17864949 18116568 23819932 24155424 35729898 36233136 47639864 53594847 71459796 72466272 95279728 107189694 142919592 160784541 190559456 214379388 285839184 321569082 428758776 571678368 643138164 857517552 1286276328 1715035104 2572552656 5145105312