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53785920216 = 23372948722669
BaseRepresentation
bin110010000101111001…
…000000001011011000
312010211102200211211010
4302011321000023120
51340123143421331
640413042533520
73612602531010
oct620571001330
9163742624733
1053785920216
11208a0827a36
12a5109672a0
1350c22175c2
142863478c40
1515ebe2de46
hexc85e402d8

53785920216 has 128 divisors (see below), whose sum is σ = 159306624000. Its totient is φ = 14806374912.

The previous prime is 53785920193. The next prime is 53785920239. The reversal of 53785920216 is 61202958735.

It is an interprime number because it is at equal distance from previous prime (53785920193) and next prime (53785920239).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2361330 + ... + 2383998.

It is an arithmetic number, because the mean of its divisors is an integer number (1244583000).

Almost surely, 253785920216 is an apocalyptic number.

53785920216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53785920216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79653312000).

53785920216 is an abundant number, since it is smaller than the sum of its proper divisors (105520703784).

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

53785920216 is a wasteful number, since it uses less digits than its factorization.

53785920216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23201 (or 23197 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 53785920216 in words is "fifty-three billion, seven hundred eighty-five million, nine hundred twenty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 487 609 696 812 974 1218 1461 1624 1948 2436 2922 3409 3896 4872 5844 6818 10227 11688 13636 14123 20454 22669 27272 28246 40908 42369 45338 56492 68007 81816 84738 90676 98861 112984 136014 158683 169476 181352 197722 272028 296583 317366 338952 395444 476049 544056 593166 634732 657401 790888 952098 1186332 1269464 1314802 1904196 1972203 2372664 2629604 3808392 3944406 4601807 5259208 7888812 9203614 11039803 13805421 15777624 18407228 22079606 27610842 33119409 36814456 44159212 55221684 66238818 77278621 88318424 110443368 132477636 154557242 231835863 264955272 309114484 320154287 463671726 618228968 640308574 927343452 960462861 1280617148 1854686904 1920925722 2241080009 2561234296 3841851444 4482160018 6723240027 7683702888 8964320036 13446480054 17928640072 26892960108 53785920216