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59140903353 = 3753733072371
BaseRepresentation
bin110111000101000100…
…101001000110111001
312122122122001011200220
4313011010221012321
51432110032401403
643100254450253
74162365245520
oct670504510671
9178578034626
1059140903353
1123099553034
12b566203989
13576678558c
142c107434b7
151812105953
hexdc51291b9

59140903353 has 64 divisors (see below), whose sum is σ = 93420214272. Its totient is φ = 32582684160.

The previous prime is 59140903333. The next prime is 59140903357. The reversal of 59140903353 is 35330904195.

It is not a de Polignac number, because 59140903353 - 29 = 59140902841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (59140903357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24942258 + ... + 24944628.

It is an arithmetic number, because the mean of its divisors is an integer number (1459690848).

Almost surely, 259140903353 is an apocalyptic number.

59140903353 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

59140903353 is a deficient number, since it is larger than the sum of its proper divisors (34279310919).

59140903353 is a wasteful number, since it uses less digits than its factorization.

59140903353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814.

The product of its (nonzero) digits is 218700, while the sum is 42.

The spelling of 59140903353 in words is "fifty-nine billion, one hundred forty million, nine hundred three thousand, three hundred fifty-three".

Divisors: 1 3 7 21 53 73 159 219 307 371 511 921 1113 1533 2149 2371 3869 6447 7113 11607 16271 16597 22411 27083 48813 49791 67233 81249 113897 125663 156877 173083 341691 376989 470631 519249 727897 879641 1187783 1211581 2183691 2638923 3563349 3634743 5095279 8314481 9173399 15285837 24943443 27520197 38578541 53136481 64213793 115735623 159409443 192641379 270049787 371955367 810149361 1115866101 2816233493 8448700479 19713634451 59140903353