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5034311300450 = 2521761286133937
BaseRepresentation
bin100100101000010010001…
…0101100011010101100010
3122211021102210212210011202
41021100210111203111202
51124440232143103300
614412421454441202
71026500633001065
oct111204425432542
918737383783152
105034311300450
111671048537413
12693824803202
132a696c704303
1413593a61a8dc
158ae49ab2ad5
hex49424563562

5034311300450 has 96 divisors (see below), whose sum is σ = 10080986146128. Its totient is φ = 1863493632000.

The previous prime is 5034311300401. The next prime is 5034311300453. The reversal of 5034311300450 is 540031134305.

It can be written as a sum of positive squares in 24 ways, for example, as 29914123849 + 5004397176601 = 172957^2 + 2237051^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5034311300453) 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, 148325882 + ... + 148359818.

Almost surely, 25034311300450 is an apocalyptic number.

5034311300450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5034311300450 is an abundant number, since it is smaller than the sum of its proper divisors (5046674845678).

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

5034311300450 is a wasteful number, since it uses less digits than its factorization.

5034311300450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36888 (or 36883 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 5034311300450 its reverse (540031134305), we get a palindrome (5574342434755).

The spelling of 5034311300450 in words is "five trillion, thirty-four billion, three hundred eleven million, three hundred thousand, four hundred fifty".

Divisors: 1 2 5 10 17 25 34 50 61 85 122 170 305 425 610 850 1037 1525 2074 2861 3050 5185 5722 10370 14305 25925 28610 33937 48637 51850 67874 71525 97274 143050 169685 174521 243185 339370 349042 486370 576929 848425 872605 1153858 1215925 1696850 1745210 2070157 2431850 2884645 2966857 4140314 4363025 5769290 5933714 8726050 10350785 14423225 14834285 20701570 28846450 29668570 35192669 51753925 70385338 74171425 97093757 103507850 148342850 175963345 194187514 351926690 485468785 879816725 970937570 1650593869 1759633450 2427343925 3301187738 4854687850 5922719177 8252969345 11845438354 16505938690 29613595885 41264846725 59227191770 82529693450 100686226009 148067979425 201372452018 296135958850 503431130045 1006862260090 2517155650225 5034311300450