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5163015120 = 243597227977
BaseRepresentation
bin1001100111011110…
…10101101111010000
3111022211010100021020
410303233111233100
541033212440440
62212153155440
7241641622134
oct46357255720
914284110236
105163015120
11220a42974a
1210010bbb80
13643866843
1436d9b73c4
152034073d0
hex133bd5bd0

5163015120 has 160 divisors (see below), whose sum is σ = 16258209408. Its totient is φ = 1355218944.

The previous prime is 5163015119. The next prime is 5163015127. The reversal of 5163015120 is 215103615.

It is a super-2 number, since 2×51630151202 = 53313450258697228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5163015127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5284072 + ... + 5285048.

Almost surely, 25163015120 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 5163015120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8129104704).

5163015120 is an abundant number, since it is smaller than the sum of its proper divisors (11095194288).

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

5163015120 is a wasteful number, since it uses less digits than its factorization.

5163015120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 5163015120 is about 71854.1238900037. The cubic root of 5163015120 is about 1728.3610303176.

Adding to 5163015120 its reverse (215103615), we get a palindrome (5378118735).

The spelling of 5163015120 in words is "five billion, one hundred sixty-three million, fifteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 227 240 291 388 454 485 582 681 776 908 970 977 1135 1164 1362 1455 1552 1816 1940 1954 2270 2328 2724 2910 2931 3405 3632 3880 3908 4540 4656 4885 5448 5820 5862 6810 7760 7816 9080 9770 10896 11640 11724 13620 14655 15632 18160 19540 22019 23280 23448 27240 29310 39080 44038 46896 54480 58620 66057 78160 88076 94769 110095 117240 132114 176152 189538 220190 221779 234480 264228 284307 330285 352304 379076 440380 443558 473845 528456 568614 660570 665337 758152 880760 887116 947690 1056912 1108895 1137228 1321140 1330674 1421535 1516304 1761520 1774232 1895380 2217790 2274456 2642280 2661348 2843070 3326685 3548464 3790760 4435580 4548912 5284560 5322696 5686140 6653370 7581520 8871160 10645392 11372280 13306740 17742320 21512563 22744560 26613480 43025126 53226960 64537689 86050252 107562815 129075378 172100504 215125630 258150756 322688445 344201008 430251260 516301512 645376890 860502520 1032603024 1290753780 1721005040 2581507560 5163015120