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52542616005 = 33511291220077
BaseRepresentation
bin110000111011110010…
…001011000111000101
312000121210012110002000
4300323302023013011
51330101402203010
640045430335513
73540024603255
oct607362130705
9160553173060
1052542616005
1120312a340a0
12a2244ba599
134c54770639
1427862b5965
151577bdc7c0
hexc3bc8b1c5

52542616005 has 64 divisors (see below), whose sum is σ = 105414739200. Its totient is φ = 24596732160.

The previous prime is 52542616001. The next prime is 52542616013. The reversal of 52542616005 is 50061624525.

52542616005 is a `hidden beast` number, since 5 + 2 + 5 + 42 + 6 + 1 + 600 + 5 = 666.

52542616005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52542616005 - 22 = 52542616001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52542616001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 566974 + ... + 653103.

It is an arithmetic number, because the mean of its divisors is an integer number (1647105300).

Almost surely, 252542616005 is an apocalyptic number.

52542616005 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52542616005 is an abundant number, since it is smaller than the sum of its proper divisors (52872123195).

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

52542616005 is a wasteful number, since it uses less digits than its factorization.

52542616005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220131 (or 1220125 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 52542616005 in words is "fifty-two billion, five hundred forty-two million, six hundred sixteen thousand, five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 87 99 135 145 165 261 297 319 435 495 783 957 1305 1485 1595 2871 3915 4785 8613 14355 43065 1220077 3660231 6100385 10980693 13420847 18301155 32942079 35382233 40262541 54903465 67104235 106146699 120787623 164710395 176911165 201312705 318440097 362362869 389204563 530733495 603938115 955320291 1167613689 1592200485 1811814345 1946022815 3502841067 4776601455 5838068445 10508523201 17514205335 52542616005