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59140903350 = 23526746712601
BaseRepresentation
bin110111000101000100…
…101001000110110110
312122122122001011200210
4313011010221012312
51432110032401400
643100254450250
74162365245514
oct670504510666
9178578034623
1059140903350
1123099553031
12b566203986
135766785589
142c107434b4
151812105950
hexdc51291b6

59140903350 has 96 divisors (see below), whose sum is σ = 149189129856. Its totient is φ = 15501024000.

The previous prime is 59140903333. The next prime is 59140903357. The reversal of 59140903350 is 5330904195.

It is a junction number, because it is equal to n+sod(n) for n = 59140903299 and 59140903308.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4687050 + ... + 4699650.

It is an arithmetic number, because the mean of its divisors is an integer number (1554053436).

Almost surely, 259140903350 is an apocalyptic number.

59140903350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 59140903350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74594564928).

59140903350 is an abundant number, since it is smaller than the sum of its proper divisors (90048226506).

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

59140903350 is a wasteful number, since it uses less digits than its factorization.

59140903350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13150 (or 13145 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 39.

The spelling of 59140903350 in words is "fifty-nine billion, one hundred forty million, nine hundred three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 67 75 134 150 201 335 402 467 670 934 1005 1401 1675 2010 2335 2802 3350 4670 5025 7005 10050 11675 12601 14010 23350 25202 31289 35025 37803 62578 63005 70050 75606 93867 126010 156445 187734 189015 312890 315025 378030 469335 630050 782225 844267 938670 945075 1564450 1688534 1890150 2346675 2532801 4221335 4693350 5065602 5884667 8442670 11769334 12664005 17654001 21106675 25328010 29423335 35308002 42213350 58846670 63320025 88270005 126640050 147116675 176540010 294233350 394272689 441350025 788545378 882700050 1182818067 1971363445 2365636134 3942726890 5914090335 9856817225 11828180670 19713634450 29570451675 59140903350