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53785322032 = 2413978633089
BaseRepresentation
bin110010000101110110…
…101110001000110000
312010211101120110021011
4302011312232020300
51340123020301112
640413022040304
73612564460021
oct620566561060
9163741513234
1053785322032
11208a0459572
12a510719094
1350c2068250
142863360c48
1515ebd61aa7
hexc85dae230

53785322032 has 80 divisors (see below), whose sum is σ = 113550232320. Its totient is φ = 24531664896.

The previous prime is 53785322023. The next prime is 53785322039. The reversal of 53785322032 is 23022358735.

It is not an unprimeable number, because it can be changed into a prime (53785322039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17410344 + ... + 17413432.

It is an arithmetic number, because the mean of its divisors is an integer number (1419377904).

Almost surely, 253785322032 is an apocalyptic number.

53785322032 is a gapful number since it is divisible by the number (52) 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 53785322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56775116160).

53785322032 is an abundant number, since it is smaller than the sum of its proper divisors (59764910288).

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

53785322032 is a wasteful number, since it uses less digits than its factorization.

53785322032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 53785322032 in words is "fifty-three billion, seven hundred eighty-five million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 97 104 194 208 388 776 863 1261 1552 1726 2522 3089 3452 5044 6178 6904 10088 11219 12356 13808 20176 22438 24712 40157 44876 49424 80314 83711 89752 160628 167422 179504 299633 321256 334844 599266 642512 669688 1088243 1198532 1339376 2176486 2397064 2665807 3895229 4352972 4794128 5331614 7790458 8705944 10663228 15580916 17411888 21326456 31161832 34655491 42652912 62323664 69310982 138621964 258583279 277243928 517166558 554487856 1034333116 2068666232 3361582627 4137332464 6723165254 13446330508 26892661016 53785322032