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5113534976 = 29113753463
BaseRepresentation
bin1001100001100101…
…00101101000000000
3111012101000111021022
410300302211220000
540433031104401
62203224445012
7240501221144
oct46062455000
914171014238
105113534976
112194503570
12ba8619768
13636530c54
143671b7224
151eddd171b
hex130ca5a00

5113534976 has 160 divisors (see below), whose sum is σ = 11688323328. Its totient is φ = 2214051840.

The previous prime is 5113534973. The next prime is 5113534991. The reversal of 5113534976 is 6794353115.

It is a super-2 number, since 2×51135349762 = 52296479901550641152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (5113534973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11044121 + ... + 11044583.

Almost surely, 25113534976 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 5113534976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5844161664).

5113534976 is an abundant number, since it is smaller than the sum of its proper divisors (6574788352).

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

5113534976 is a wasteful number, since it uses less digits than its factorization.

5113534976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 566 counting only the distinct ones).

The product of its digits is 340200, while the sum is 44.

The square root of 5113534976 is about 71508.9852815714. The cubic root of 5113534976 is about 1722.8220052241.

The spelling of 5113534976 in words is "five billion, one hundred thirteen million, five hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 37 44 53 64 74 88 106 128 148 176 212 256 296 352 407 424 463 512 583 592 704 814 848 926 1166 1184 1408 1628 1696 1852 1961 2332 2368 2816 3256 3392 3704 3922 4664 4736 5093 5632 6512 6784 7408 7844 9328 9472 10186 13024 13568 14816 15688 17131 18656 18944 20372 21571 24539 26048 27136 29632 31376 34262 37312 40744 43142 49078 52096 59264 62752 68524 74624 81488 86284 98156 104192 118528 125504 137048 149248 162976 172568 188441 196312 208384 237056 251008 269929 274096 298496 325952 345136 376882 392624 502016 539858 548192 651904 690272 753764 785248 907943 1004032 1079716 1096384 1303808 1380544 1507528 1570496 1815886 2159432 2192768 2607616 2761088 3015056 3140992 3631772 4318864 4385536 5522176 6030112 6281984 7263544 8637728 8771072 9987373 11044352 12060224 12563968 14527088 17275456 19974746 24120448 29054176 34550912 39949492 48240896 58108352 69101824 79898984 96481792 116216704 138203648 159797968 232433408 319595936 464866816 639191872 1278383744 2556767488 5113534976