Search a number
-
+
50142603234450 = 23523475211849049
BaseRepresentation
bin10110110011010101111000…
…00011011100110010010010
320120112120211020022011012210
423121222330003130302102
523033014022412000300
6254351105515332550
713363453311052206
oct1331527403346222
9216476736264183
1050142603234450
1114a823a4346861
125759b80451156
1321c957271b18c
14c54cb487ab06
155be4ce1a0050
hex2d9abc0dcc92

50142603234450 has 96 divisors (see below), whose sum is σ = 124951461969600. Its totient is φ = 13307228646400.

The previous prime is 50142603234419. The next prime is 50142603234473. The reversal of 50142603234450 is 5443230624105.

50142603234450 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 = 50142603234399 and 50142603234408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26193526 + ... + 28042574.

It is an arithmetic number, because the mean of its divisors is an integer number (1301577728850).

Almost surely, 250142603234450 is an apocalyptic number.

50142603234450 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 50142603234450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62475730984800).

50142603234450 is an abundant number, since it is smaller than the sum of its proper divisors (74808858735150).

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

50142603234450 is a wasteful number, since it uses less digits than its factorization.

50142603234450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849932 (or 1849927 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 50142603234450 its reverse (5443230624105), we get a palindrome (55585833858555).

The spelling of 50142603234450 in words is "fifty trillion, one hundred forty-two billion, six hundred three million, two hundred thirty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 347 521 694 1041 1042 1563 1735 2082 2605 3126 3470 5205 5210 7815 8675 10410 13025 15630 17350 26025 26050 39075 52050 78150 180787 361574 542361 903935 1084722 1807870 1849049 2711805 3698098 4519675 5423610 5547147 9039350 9245245 11094294 13559025 18490490 27118050 27735735 46226225 55471470 92452450 138678675 277357350 641620003 963354529 1283240006 1924860009 1926709058 2890063587 3208100015 3849720018 4816772645 5780127174 6416200030 9624300045 9633545290 14450317935 16040500075 19248600090 24083863225 28900635870 32081000150 48121500225 48167726450 72251589675 96243000450 144503179350 334284021563 668568043126 1002852064689 1671420107815 2005704129378 3342840215630 5014260323445 8357100539075 10028520646890 16714201078150 25071301617225 50142603234450