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135377417574 = 23271074423949
BaseRepresentation
bin111111000010100011…
…1110111010101100110
3110221102200111100202200
41332011013313111212
54204223104330244
6142105211515330
712531531030420
oct1760507672546
9427380440680
10135377417574
1152460028593
12222a1758b46
13c9c5c99019
1467a3733810
1537c4ebc669
hex1f851f7566

135377417574 has 24 divisors (see below), whose sum is σ = 335220272400. Its totient is φ = 38679262128.

The previous prime is 135377417537. The next prime is 135377417633. The reversal of 135377417574 is 475714773531.

135377417574 is a `hidden beast` number, since 1 + 3 + 53 + 7 + 7 + 4 + 17 + 574 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135377417574.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537211849 + ... + 537212100.

It is an arithmetic number, because the mean of its divisors is an integer number (13967511350).

Almost surely, 2135377417574 is an apocalyptic number.

135377417574 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

135377417574 is an abundant number, since it is smaller than the sum of its proper divisors (199842854826).

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

135377417574 is a wasteful number, since it uses less digits than its factorization.

135377417574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074423964 (or 1074423961 counting only the distinct ones).

The product of its digits is 8643600, while the sum is 54.

The spelling of 135377417574 in words is "one hundred thirty-five billion, three hundred seventy-seven million, four hundred seventeen thousand, five hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1074423949 2148847898 3223271847 6446543694 7520967643 9669815541 15041935286 19339631082 22562902929 45125805858 67688708787 135377417574