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5345695429776 = 2432132148212
BaseRepresentation
bin100110111001010010001…
…0001101111010010010000
3200221001011201001111112100
41031302210101233102100
51200040441012223101
615211440101200400
71061133213301032
oct115624421572220
920831151044470
105345695429776
111781107787559
12724046700100
132ca134c03100
14146a39661c52
15940c18dbe86
hex4dca446f490

5345695429776 has 135 divisors (see below), whose sum is σ = 16200948969387. Its totient is φ = 1644718383360.

The previous prime is 5345695429757. The next prime is 5345695429861. The reversal of 5345695429776 is 6779245965435.

The square root of 5345695429776 is 2312076.

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

5345695429776 is a `hidden beast` number, since 5 + 3 + 4 + 5 + 6 + 9 + 542 + 9 + 7 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1018363539600 + 4327331890176 = 1009140^2 + 2080224^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 360676446 + ... + 360691266.

Almost surely, 25345695429776 is an apocalyptic number.

5345695429776 is the 2312076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5345695429776

5345695429776 is an abundant number, since it is smaller than the sum of its proper divisors (10855253539611).

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

5345695429776 is an equidigital number, since it uses as much as digits as its factorization.

5345695429776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29682 (or 14839 counting only the distinct ones).

The product of its digits is 1714608000, while the sum is 72.

The spelling of 5345695429776 in words is "five trillion, three hundred forty-five billion, six hundred ninety-five million, four hundred twenty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 14821 24336 29642 44463 59284 88926 118568 133389 177852 192673 237136 266778 355704 385346 533556 578019 711408 770692 1067112 1156038 1541384 1734057 2134224 2312076 2504749 3082768 3468114 4624152 5009498 6936228 7514247 9248304 10018996 13872456 15028494 20037992 22542741 27744912 30056988 40075984 45085482 60113976 90170964 120227952 180341928 219662041 360683856 439324082 658986123 878648164 1317972246 1757296328 1976958369 2635944492 2855606533 3514592656 3953916738 5271888984 5711213066 7907833476 8566819599 10543777968 11422426132 15815666952 17133639198 22844852264 25700458797 31631333904 34267278396 37122884929 45689704528 51400917594 68534556792 74245769858 102801835188 111368654787 137069113584 148491539716 205603670376 222737309574 296983079432 334105964361 411207340752 445474619148 593966158864 668211928722 890949238296 1336423857444 1781898476592 2672847714888 5345695429776