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63116071681 = 1353829110501
BaseRepresentation
bin111010110010000000…
…101101001100000001
320000220200000122111111
4322302000231030001
52013230203243211
644554540243321
74363034520535
oct726200551401
9200820018444
1063116071681
1124849416913
1210295540541
135c4b1c15a0
1430aa671bc5
1519960c3421
hexeb202d301

63116071681 has 16 divisors (see below), whose sum is σ = 69337794960. Its totient is φ = 57092256000.

The previous prime is 63116071657. The next prime is 63116071723. The reversal of 63116071681 is 18617061136.

It can be written as a sum of positive squares in 8 ways, for example, as 1465664656 + 61650407025 = 38284^2 + 248295^2 .

It is not a de Polignac number, because 63116071681 - 211 = 63116069633 is a prime.

It is a super-2 number, since 2×631160716812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63116071631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515931 + ... + 626431.

It is an arithmetic number, because the mean of its divisors is an integer number (4333612185).

Almost surely, 263116071681 is an apocalyptic number.

It is an amenable number.

63116071681 is a deficient number, since it is larger than the sum of its proper divisors (6221723279).

63116071681 is a wasteful number, since it uses less digits than its factorization.

63116071681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111396.

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 63116071681 in words is "sixty-three billion, one hundred sixteen million, seventy-one thousand, six hundred eighty-one".

Divisors: 1 13 53 689 829 10777 43937 110501 571181 1436513 5856553 76135189 91605329 1190869277 4855082437 63116071681