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107744340774438 = 236193889406569
BaseRepresentation
bin11000011111111000101111…
…001010001000111000100110
3112010111020222100202122000000
4120133320233022020320212
5103110240402214240223
61021053022234202130
731460162130455034
oct3037705712107046
9463436870678000
10107744340774438
1131370133529245
12101016a9883346
13481732b388434
141c86bd5219554
15c6ca26b98543
hex61fe2f288e26

107744340774438 has 56 divisors (see below), whose sum is σ = 255067282860600. Its totient is φ = 34024528656864.

The previous prime is 107744340774437. The next prime is 107744340774439. The reversal of 107744340774438 is 834477043447701.

107744340774438 is a `hidden beast` number, since 10 + 7 + 7 + 443 + 40 + 77 + 44 + 38 = 666.

It is an interprime number because it is at equal distance from previous prime (107744340774437) and next prime (107744340774439).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107744340774431) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1944675583 + ... + 1944730986.

It is an arithmetic number, because the mean of its divisors is an integer number (4554772908225).

Almost surely, 2107744340774438 is an apocalyptic number.

107744340774438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

107744340774438 is an abundant number, since it is smaller than the sum of its proper divisors (147322942086162).

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

107744340774438 is an equidigital number, since it uses as much as digits as its factorization.

107744340774438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889406608 (or 3889406593 counting only the distinct ones).

The product of its (nonzero) digits is 177020928, while the sum is 63.

The spelling of 107744340774438 in words is "one hundred seven trillion, seven hundred forty-four billion, three hundred forty million, seven hundred seventy-four thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 729 1026 1458 1539 3078 4617 9234 13851 27702 3889406569 7778813138 11668219707 23336439414 35004659121 70009318242 73898724811 105013977363 147797449622 210027954726 221696174433 315041932089 443392348866 630083864178 665088523299 945125796267 1330177046598 1890251592534 1995265569897 2835377388801 3990531139794 5670754777602 5985796709691 11971593419382 17957390129073 35914780258146 53872170387219 107744340774438