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59053221744 = 24311793374201
BaseRepresentation
bin110110111111110110…
…001010011101110000
312122102112001111010220
4312333312022131300
51431420111043434
643043443253040
74160252050146
oct667766123560
9178375044126
1059053221744
11230540055a0
12b54097a180
13575156597a
142c02c3b596
151809585d49
hexdbfd8a770

59053221744 has 160 divisors (see below), whose sum is σ = 169069655040. Its totient is φ = 17611776000.

The previous prime is 59053221713. The next prime is 59053221839. The reversal of 59053221744 is 44712235095.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 59053221696 and 59053221705.

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, 14054844 + ... + 14059044.

It is an arithmetic number, because the mean of its divisors is an integer number (1056685344).

Almost surely, 259053221744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59053221744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84534827520).

59053221744 is an abundant number, since it is smaller than the sum of its proper divisors (110016433296).

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

59053221744 is a wasteful number, since it uses less digits than its factorization.

59053221744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4639 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 59053221744 in words is "fifty-nine billion, fifty-three million, two hundred twenty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 132 158 176 237 264 316 337 474 528 632 674 869 948 1011 1264 1348 1738 1896 2022 2607 2696 3476 3707 3792 4044 4201 5214 5392 6952 7414 8088 8402 10428 11121 12603 13904 14828 16176 16804 20856 22242 25206 26623 29656 33608 41712 44484 46211 50412 53246 59312 67216 79869 88968 92422 100824 106492 138633 159738 177936 184844 201648 212984 277266 292853 319476 331879 369688 425968 554532 585706 638952 663758 739376 878559 995637 1109064 1171412 1277904 1327516 1415737 1757118 1991274 2218128 2342824 2655032 2831474 3514236 3650669 3982548 4247211 4685648 5310064 5662948 7028472 7301338 7965096 8494422 10952007 11325896 14056944 14602676 15573107 15930192 16988844 21904014 22651792 29205352 31146214 33977688 43808028 46719321 58410704 62292428 67955376 87616056 93438642 111843223 124584856 175232112 186877284 223686446 249169712 335529669 373754568 447372892 671059338 747509136 894745784 1230275453 1342118676 1789491568 2460550906 2684237352 3690826359 4921101812 5368474704 7381652718 9842203624 14763305436 19684407248 29526610872 59053221744