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11677714441753 = 314775171066237
BaseRepresentation
bin1010100111101110111000…
…0001010110011000011001
31112100101012222221102022011
42221323232001112120121
53012311424344114003
640500400140025521
72313454435660663
oct251735601263031
945311188842264
1011677714441753
1137a2544401878
121387276b322a1
13669285829729
142c52c0c05533
15153b6e02846d
hexa9eee056619

11677714441753 has 16 divisors (see below), whose sum is σ = 12312541108224. Its totient is φ = 11059085090880.

The previous prime is 11677714441709. The next prime is 11677714441763. The reversal of 11677714441753 is 35714441777611.

11677714441753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11677714441753 - 225 = 11677680887321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11677714441763) 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, 10419151 + ... + 11485387.

It is an arithmetic number, because the mean of its divisors is an integer number (769533819264).

Almost surely, 211677714441753 is an apocalyptic number.

It is an amenable number.

11677714441753 is a deficient number, since it is larger than the sum of its proper divisors (634826666471).

11677714441753 is a wasteful number, since it uses less digits than its factorization.

11677714441753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073832.

The product of its digits is 13829760, while the sum is 58.

The spelling of 11677714441753 in words is "eleven trillion, six hundred seventy-seven billion, seven hundred fourteen million, four hundred forty-one thousand, seven hundred fifty-three".

Divisors: 1 31 47 1457 7517 233027 353299 1066237 10952269 33053347 50113139 1553507309 8014903529 248462009399 376700465863 11677714441753