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5304832512 = 2937310069
BaseRepresentation
bin1001111000011000…
…10101001000000000
3111200200222102011020
410330030111020000
541331014120022
62234220545440
7245313222000
oct47414251000
914620872136
105304832512
112282492201
1210406b2280
1366705c165
14384772000
15210abc35c
hex13c315200

5304832512 has 160 divisors (see below), whose sum is σ = 16482576000. Its totient is φ = 1515515904.

The previous prime is 5304832459. The next prime is 5304832513. The reversal of 5304832512 is 2152384035.

It is not an unprimeable number, because it can be changed into a prime (5304832513) 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, 521814 + ... + 531882.

It is an arithmetic number, because the mean of its divisors is an integer number (103016100).

Almost surely, 25304832512 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 5304832512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241288000).

5304832512 is an abundant number, since it is smaller than the sum of its proper divisors (11177743488).

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

5304832512 is an equidigital number, since it uses as much as digits as its factorization.

5304832512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10111 (or 10081 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 5304832512 is about 72834.2811593552. The cubic root of 5304832512 is about 1744.0431490601.

The spelling of 5304832512 in words is "five billion, three hundred four million, eight hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 343 384 392 448 512 588 672 686 768 784 896 1029 1176 1344 1372 1536 1568 1792 2058 2352 2688 2744 3136 3584 4116 4704 5376 5488 6272 8232 9408 10069 10752 10976 12544 16464 18816 20138 21952 25088 30207 32928 37632 40276 43904 60414 65856 70483 75264 80552 87808 120828 131712 140966 161104 175616 211449 241656 263424 281932 322208 422898 483312 493381 526848 563864 644416 845796 966624 986762 1127728 1288832 1480143 1691592 1933248 1973524 2255456 2577664 2960286 3383184 3453667 3866496 3947048 4510912 5155328 5920572 6766368 6907334 7732992 7894096 9021824 10361001 11841144 13532736 13814668 15465984 15788192 18043648 20722002 23682288 27065472 27629336 31576384 36087296 41444004 47364576 54130944 55258672 63152768 82888008 94729152 108261888 110517344 126305536 165776016 189458304 221034688 252611072 331552032 378916608 442069376 663104064 757833216 884138752 1326208128 1768277504 2652416256 5304832512