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138877711569 = 344728812
BaseRepresentation
bin1000000101010111000…
…0011011010011010001
3111021110121220201110000
42001111300123103101
54233410143232234
6143444411200213
713014343033242
oct2012560332321
9437417821400
10138877711569
1153996936243
1222ab9a46069
13101332093bc
146a1656acc9
15392c436899
hex2055c1b4d1

138877711569 has 45 divisors (see below), whose sum is σ = 212208112171. Its totient is φ = 90512389440.

The previous prime is 138877711559. The next prime is 138877711571. The reversal of 138877711569 is 965117778831.

The square root of 138877711569 is 372663.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24363151569 + 114514560000 = 156087^2 + 338400^2 .

It is not a de Polignac number, because 138877711569 - 227 = 138743493841 is a prime.

It is a super-2 number, since 2×1388777115692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138877711559) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 157636009 + ... + 157636889.

Almost surely, 2138877711569 is an apocalyptic number.

138877711569 is the 372663-rd square number.

138877711569 is the 186332-nd centered octagonal number.

It is an amenable number.

138877711569 is a deficient number, since it is larger than the sum of its proper divisors (73330400602).

138877711569 is an frugal number, since it uses more digits than its factorization.

138877711569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 931 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 63.

The spelling of 138877711569 in words is "one hundred thirty-eight billion, eight hundred seventy-seven million, seven hundred eleven thousand, five hundred sixty-nine".

Divisors: 1 3 9 27 47 81 141 423 881 1269 2209 2643 3807 6627 7929 19881 23787 41407 59643 71361 124221 178929 372663 776161 1117989 1946129 2328483 3353967 5838387 6985449 17515161 20956347 36479567 52545483 62869041 109438701 157636449 328316103 984948309 1714539649 2954844927 5143618947 15430856841 46292570523 138877711569