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506325100350 = 235267227221941
BaseRepresentation
bin1110101111000110101…
…00111110011100111110
31210101220200000002202110
413113203110332130332
531243423211202400
61024334052034450
751403131225216
oct7274324763476
91711820002673
10506325100350
11185805356a63
1282167302a26
13389916923c4
141a71329b246
15d286086e50
hex75e353e73e

506325100350 has 96 divisors (see below), whose sum is σ = 1280047821696. Its totient is φ = 132418281600.

The previous prime is 506325100339. The next prime is 506325100357. The reversal of 506325100350 is 53001523605.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506325100357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2170380 + ... + 2392320.

It is an arithmetic number, because the mean of its divisors is an integer number (13333831476).

Almost surely, 2506325100350 is an apocalyptic number.

506325100350 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 506325100350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640023910848).

506325100350 is an abundant number, since it is smaller than the sum of its proper divisors (773722721346).

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

506325100350 is a wasteful number, since it uses less digits than its factorization.

506325100350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222250 (or 222245 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 506325100350 its reverse (53001523605), we get a palindrome (559326623955).

The spelling of 506325100350 in words is "five hundred six billion, three hundred twenty-five million, one hundred thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 67 75 134 150 201 227 335 402 454 670 681 1005 1135 1362 1675 2010 2270 3350 3405 5025 5675 6810 10050 11350 15209 17025 30418 34050 45627 76045 91254 152090 221941 228135 380225 443882 456270 665823 760450 1109705 1140675 1331646 2219410 2281350 3329115 5548525 6658230 11097050 14870047 16645575 29740094 33291150 44610141 50380607 74350235 89220282 100761214 148700470 151141821 223050705 251903035 302283642 371751175 446101410 503806070 743502350 755709105 1115253525 1259515175 1511418210 2230507050 2519030350 3375500669 3778545525 6751001338 7557091050 10126502007 16877503345 20253004014 33755006690 50632510035 84387516725 101265020070 168775033450 253162550175 506325100350