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5141517757 = 17532671607
BaseRepresentation
bin1001100100111010…
…10101010110111101
3111021022200011102121
410302131111112331
541012212032012
62210104322541
7241261115455
oct46235252675
914238604377
105141517757
1121a9286432
12bb5a73451
1363c27a9cc
1436abbcd65
152015aca07
hex1327555bd

5141517757 has 24 divisors (see below), whose sum is σ = 5634933696. Its totient is φ = 4673999616.

The previous prime is 5141517721. The next prime is 5141517763. The reversal of 5141517757 is 7577151415.

It is not a de Polignac number, because 5141517757 - 215 = 5141484989 is a prime.

It is a super-2 number, since 2×51415177572 = 52870409691092622098, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5141517767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3198648 + ... + 3200254.

It is an arithmetic number, because the mean of its divisors is an integer number (234788904).

Almost surely, 25141517757 is an apocalyptic number.

It is an amenable number.

5141517757 is a deficient number, since it is larger than the sum of its proper divisors (493415939).

5141517757 is a wasteful number, since it uses less digits than its factorization.

5141517757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1744 counting only the distinct ones).

The product of its digits is 171500, while the sum is 43.

The square root of 5141517757 is about 71704.3775302457. The cubic root of 5141517757 is about 1725.9588879514.

The spelling of 5141517757 in words is "five billion, one hundred forty-one million, five hundred seventeen thousand, seven hundred fifty-seven".

Divisors: 1 17 53 67 901 1139 1607 2809 3551 27319 47753 60367 85171 107669 188203 1447907 1830373 3199451 4514063 5706457 76739071 97009769 302442221 5141517757