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5331591832576 = 21059212232
BaseRepresentation
bin100110110010101101110…
…1000110010010000000000
3200212200202210122112022111
41031211123220302100000
51144323100002120301
615201144404145104
71060123546555612
oct115453350622000
920780683575274
105331591832576
11177612a6601a9
1272136b398194
132c89c7cc1319
1414609c4dcdb2
1593a48643551
hex4d95ba32400

5331591832576 has 99 divisors (see below), whose sum is σ = 10850554542931. Its totient is φ = 2618470160384.

The previous prime is 5331591832571. The next prime is 5331591832597. The reversal of 5331591832576 is 6752381951335.

It is a happy number.

The square root of 5331591832576 is 2309024.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×53315918325762 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5331591832576.

It is not an unprimeable number, because it can be changed into a prime (5331591832571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4359436701 + ... + 4359437923.

Almost surely, 25331591832576 is an apocalyptic number.

5331591832576 is the 2309024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5331591832576

5331591832576 is an abundant number, since it is smaller than the sum of its proper divisors (5518962710355).

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

5331591832576 is an frugal number, since it uses more digits than its factorization.

5331591832576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 1284 counting only the distinct ones).

The product of its digits is 20412000, while the sum is 58.

The spelling of 5331591832576 in words is "five trillion, three hundred thirty-one billion, five hundred ninety-one million, eight hundred thirty-two thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 944 1024 1223 1888 2446 3481 3776 4892 6962 7552 9784 13924 15104 19568 27848 30208 39136 55696 60416 72157 78272 111392 144314 156544 222784 288628 313088 445568 577256 626176 891136 1154512 1252352 1495729 1782272 2309024 2991458 3564544 4257263 4618048 5982916 8514526 9236096 11965832 17029052 18472192 23931664 34058104 36944384 47863328 68116208 73888768 88248011 95726656 136232416 176496022 191453312 272464832 352992044 382906624 544929664 705984088 765813248 1089859328 1411968176 1531626496 2179718656 2823936352 4359437312 5206632649 5647872704 10413265298 11295745408 20826530596 22591490816 41653061192 45182981632 83306122384 90365963264 166612244768 333224489536 666448979072 1332897958144 2665795916288 5331591832576