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59008193348 = 221331411098191
BaseRepresentation
bin110110111101001010…
…011001001101000100
312122022101022210210112
4312331022121031010
51431322044141343
643035154212152
74156164240056
oct667512311504
9178271283715
1059008193348
1123030650045
12b529884058
13574512b450
142bdac798d6
15180563e218
hexdbd299344

59008193348 has 96 divisors (see below), whose sum is σ = 118688317440. Its totient is φ = 25474176000.

The previous prime is 59008193347. The next prime is 59008193351. The reversal of 59008193348 is 84339180095.

59008193348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 59008193296 and 59008193305.

It is not an unprimeable number, because it can be changed into a prime (59008193347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7199933 + ... + 7208123.

It is an arithmetic number, because the mean of its divisors is an integer number (1236336640).

Almost surely, 259008193348 is an apocalyptic number.

It is an amenable number.

59008193348 is an abundant number, since it is smaller than the sum of its proper divisors (59680124092).

59008193348 is a wasteful number, since it uses less digits than its factorization.

59008193348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8389 (or 8387 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The spelling of 59008193348 in words is "fifty-nine billion, eight million, one hundred ninety-three thousand, three hundred forty-eight".

Divisors: 1 2 4 13 26 31 41 52 62 82 109 124 164 218 403 436 533 806 1066 1271 1417 1612 2132 2542 2834 3379 4469 5084 5668 6758 8191 8938 13516 16382 16523 17876 32764 33046 43927 58097 66092 87854 106483 116194 138539 175708 212966 232388 253921 277078 335831 425932 507842 554156 671662 892819 1015684 1343324 1785638 1801007 3300973 3571276 3602014 4365803 6601946 7204028 8731606 10410761 11606647 13203892 17463212 20821522 23213294 27677389 36605579 41643044 46426588 55354778 73211158 110709556 135339893 146422316 270679786 359806057 475872527 541359572 719612114 951745054 1134772949 1439224228 1903490108 2269545898 4539091796 14752048337 29504096674 59008193348