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48307337321104 = 2417243223772
BaseRepresentation
bin10101111101111011011011…
…01011100101101010010000
320100001010200101200222021101
422332331231223211222100
522312431411323233404
6250424030121434144
713114042565144221
oct1276755553455220
9210033611628241
1048307337321104
1114435032603544
12550235163b954
1320c549315a634
14bd0132543248
1558b8b858c2a4
hex2bef6dae5a90

48307337321104 has 135 divisors (see below), whose sum is σ = 101833762962267. Its totient is φ = 22194852083712.

The previous prime is 48307337321051. The next prime is 48307337321129. The reversal of 48307337321104 is 40112373370384.

It is a happy number.

The square root of 48307337321104 is 6950348.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1727258319504 + 46580079001600 = 1314252^2 + 6824960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20322816364 + ... + 20322818740.

Almost surely, 248307337321104 is an apocalyptic number.

48307337321104 is the 6950348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48307337321104

48307337321104 is an abundant number, since it is smaller than the sum of its proper divisors (53526425641163).

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

48307337321104 is an frugal number, since it uses more digits than its factorization.

48307337321104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

The spelling of 48307337321104 in words is "forty-eight trillion, three hundred seven billion, three hundred thirty-seven million, three hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 43 68 86 136 172 272 289 344 578 688 731 1156 1462 1849 2312 2377 2924 3698 4624 4754 5848 7396 9508 11696 12427 14792 19016 24854 29584 31433 38032 40409 49708 62866 80818 99416 102211 125732 161636 198832 204422 251464 323272 408844 502928 534361 646544 686953 817688 1068722 1373906 1635376 1737587 2137444 2747812 3475174 4274888 4395073 5495624 5650129 6950348 8549776 8790146 10991248 11300258 13900696 17580292 22600516 27801392 29538979 35160584 45201032 59077958 70321168 74716241 90402064 96052193 118155916 149432482 192104386 236311832 242955547 298864964 384208772 472623664 485911094 597729928 768417544 971822188 1195459856 1270176097 1536835088 1632887281 1943644376 2540352194 3265774562 3887288752 4130244299 5080704388 6531549124 8260488598 10161408776 10447088521 13063098248 16520977196 20322817552 20894177042 26126196496 33041954392 41788354084 66083908784 70214153083 83576708168 140428306166 167153416336 177600504857 280856612332 355201009714 561713224664 710402019428 1123426449328 1420804038856 2841608077712 3019208582569 6038417165138 12076834330276 24153668660552 48307337321104