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138161633401 = 112337912
BaseRepresentation
bin1000000010101100010…
…0110011100001111001
3111012121201111011212101
42000223010303201321
54230423334232101
6143245351143401
712660526335631
oct2005304634171
9435551434771
10138161633401
1153659705100
122293a074b61
131004aa5a9cc
1469894096c1
1538d963a401
hex202b133879

138161633401 has 9 divisors (see below), whose sum is σ = 151868107909. Its totient is φ = 125597767900.

The previous prime is 138161633369. The next prime is 138161633411. The reversal of 138161633401 is 104336161831.

The square root of 138161633401 is 371701.

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

It is not a de Polignac number, because 138161633401 - 25 = 138161633369 is a prime.

It is a super-3 number, since 3×1381616334013 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138161633411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4071816 + ... + 4105606.

Almost surely, 2138161633401 is an apocalyptic number.

138161633401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138161633401 is the 371701-st square number.

138161633401 is the 185851-st centered octagonal number.

It is an amenable number.

138161633401 is a deficient number, since it is larger than the sum of its proper divisors (13706474508).

138161633401 is an frugal number, since it uses more digits than its factorization.

138161633401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67604 (or 33802 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 138161633401 in words is "one hundred thirty-eight billion, one hundred sixty-one million, six hundred thirty-three thousand, four hundred one".

Divisors: 1 11 121 33791 371701 4088711 1141831681 12560148491 138161633401