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54687030724624 = 241721087512
BaseRepresentation
bin11000110111100110100010…
…00010100100100000010000
321011122000210012100220121111
430123303101002210200100
524131443014331141444
6312150513004103104
714343002413300264
oct1433632102444020
9234560705326544
1054687030724624
1116474704179851
126172867b34a94
132468c70a836ac
14d70c1b6000a4
1564c8062de234
hex31bcd10a4810

54687030724624 has 45 divisors (see below), whose sum is σ = 112556500262301. Its totient is φ = 25734836640000.

The previous prime is 54687030724567. The next prime is 54687030724633. The reversal of 54687030724624 is 42642703078645.

The square root of 54687030724624 is 7395068.

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

It can be written as a sum of positive squares in only one way, i.e., 42576408003600 + 12110622721024 = 6525060^2 + 3480032^2 .

It is a Duffinian number.

It is an unprimeable number.

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, 502810249 + ... + 502918999.

Almost surely, 254687030724624 is an apocalyptic number.

54687030724624 is the 7395068-th square number.

It is an amenable number.

54687030724624 is an abundant number, since it is smaller than the sum of its proper divisors (57869469537677).

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

54687030724624 is an frugal number, since it uses more digits than its factorization.

54687030724624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217544 (or 108770 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 58.

The spelling of 54687030724624 in words is "fifty-four trillion, six hundred eighty-seven billion, thirty million, seven hundred twenty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 108751 217502 435004 870008 1740016 1848767 3697534 7395068 14790136 29580272 31429039 62858078 125716156 251432312 502864624 11826780001 23653560002 47307120004 94614240008 189228480016 201055260017 402110520034 804221040068 1608442080136 3216884160272 3417939420289 6835878840578 13671757681156 27343515362312 54687030724624