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5145660480 = 263512014463
BaseRepresentation
bin1001100101011010…
…01000110001000000
3111021121110122011210
410302231020301000
541014242113410
62210333210120
7241341251412
oct46255106100
914247418153
105145660480
112200655974
12bb7330940
1364009b51c
1436b57a9b2
15201b2a220
hex132b48c40

5145660480 has 112 divisors (see below), whose sum is σ = 16354738944. Its totient is φ = 1370726400.

The previous prime is 5145660473. The next prime is 5145660511. The reversal of 5145660480 is 840665415.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1150729 + ... + 1155191.

Almost surely, 25145660480 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 5145660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8177369472).

5145660480 is an abundant number, since it is smaller than the sum of its proper divisors (11209078464).

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

5145660480 is a wasteful number, since it uses less digits than its factorization.

5145660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5684 (or 5674 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 5145660480 is about 71733.2592316842. The cubic root of 5145660480 is about 1726.4223211494.

The spelling of 5145660480 in words is "five billion, one hundred forty-five million, six hundred sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1201 2402 3603 4463 4804 6005 7206 8926 9608 12010 13389 14412 17852 18015 19216 22315 24020 26778 28824 35704 36030 38432 44630 48040 53556 57648 66945 71408 72060 76864 89260 96080 107112 115296 133890 142816 144120 178520 192160 214224 230592 267780 285632 288240 357040 384320 428448 535560 576480 714080 856896 1071120 1152960 1428160 2142240 4284480 5360063 10720126 16080189 21440252 26800315 32160378 42880504 53600630 64320756 80400945 85761008 107201260 128641512 160801890 171522016 214402520 257283024 321603780 343044032 428805040 514566048 643207560 857610080 1029132096 1286415120 1715220160 2572830240 5145660480