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2542267377 = 34135345553
BaseRepresentation
bin1001011110000111…
…1110101111110001
320120011201120020000
42113201332233301
520201310024002
61100133340213
7116666626146
oct22741765761
96504646200
102542267377
111095053121
125ab497669
1331690b030
141a18d43cd
15ed2c961c
hex9787ebf1

2542267377 has 40 divisors (see below), whose sum is σ = 4167097704. Its totient is φ = 1534920192.

The previous prime is 2542267337. The next prime is 2542267421. The reversal of 2542267377 is 7737622452.

2542267377 is a `hidden beast` number, since 2 + 54 + 226 + 7 + 377 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 497780721 + 2044486656 = 22311^2 + 45216^2 .

It is not a de Polignac number, because 2542267377 - 228 = 2273831921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2542267337) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33033 + ... + 78585.

Almost surely, 22542267377 is an apocalyptic number.

2542267377 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2542267377 is a deficient number, since it is larger than the sum of its proper divisors (1624830327).

2542267377 is a wasteful number, since it uses less digits than its factorization.

2542267377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45631 (or 45622 counting only the distinct ones).

The product of its digits is 987840, while the sum is 45.

The square root of 2542267377 is about 50420.9021835191. The cubic root of 2542267377 is about 1364.8148571497.

The spelling of 2542267377 in words is "two billion, five hundred forty-two million, two hundred sixty-seven thousand, three hundred seventy-seven".

Divisors: 1 3 9 13 27 39 53 81 117 159 351 477 689 1053 1431 2067 4293 6201 18603 45553 55809 136659 409977 592189 1229931 1776567 2414309 3689793 5329701 7242927 15989103 21728781 31386017 47967309 65186343 94158051 195559029 282474153 847422459 2542267377