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52514735436 = 223219113679433
BaseRepresentation
bin110000111010000111…
…110100010101001100
312000112211201222010100
4300322013310111030
51330022233013221
640042553011100
73536235612642
oct607207642514
9160484658110
1052514735436
11202a9220aa9
12a2170b3a90
134c4ba5b267
1427826d9192
151575531926
hexc3a1f454c

52514735436 has 72 divisors (see below), whose sum is σ = 140968966320. Its totient is φ = 16436818944.

The previous prime is 52514735419. The next prime is 52514735437. The reversal of 52514735436 is 63453741525.

52514735436 is a `hidden beast` number, since 5 + 25 + 14 + 73 + 543 + 6 = 666.

It is a super-2 number, since 2×525147354362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52514735391 and 52514735400.

It is not an unprimeable number, because it can be changed into a prime (52514735437) 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 23 ways as a sum of consecutive naturals, for example, 262425 + ... + 417008.

It is an arithmetic number, because the mean of its divisors is an integer number (1957902310).

Almost surely, 252514735436 is an apocalyptic number.

It is an amenable number.

52514735436 is an abundant number, since it is smaller than the sum of its proper divisors (88454230884).

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

52514735436 is a wasteful number, since it uses less digits than its factorization.

52514735436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679575 (or 679570 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The spelling of 52514735436 in words is "fifty-two billion, five hundred fourteen million, seven hundred thirty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 113 114 171 226 228 339 342 452 678 684 1017 1356 2034 2147 4068 4294 6441 8588 12882 19323 25764 38646 77292 679433 1358866 2038299 2717732 4076598 6114897 8153196 12229794 12909227 24459588 25818454 38727681 51636908 76775929 77455362 116183043 153551858 154910724 230327787 232366086 307103716 460655574 464732172 690983361 921311148 1381966722 1458742651 2763933444 2917485302 4376227953 5834970604 8752455906 13128683859 17504911812 26257367718 52514735436