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138586427460 = 22325131312931543
BaseRepresentation
bin1000000100010001100…
…1010001000001000100
3111020201022210221202200
42001010121101001010
54232311111134320
6143355444034500
713004205124365
oct2010431210104
9436638727680
10138586427460
1153857475178
1222a38392a30
13100b7a70840
1469c99c5b6c
153911a9a290
hex2044651044

138586427460 has 288 divisors, whose sum is σ = 458025055488. Its totient is φ = 33715768320.

The previous prime is 138586427459. The next prime is 138586427461. The reversal of 138586427460 is 64724685831.

It is a happy number.

138586427460 is a `hidden beast` number, since 1 + 3 + 85 + 86 + 4 + 27 + 460 = 666.

It is an interprime number because it is at equal distance from previous prime (138586427459) and next prime (138586427461).

It is a super-2 number, since 2×1385864274602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138586427397 and 138586427406.

It is not an unprimeable number, because it can be changed into a prime (138586427461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89815449 + ... + 89816991.

It is an arithmetic number, because the mean of its divisors is an integer number (1590364776).

Almost surely, 2138586427460 is an apocalyptic number.

138586427460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138586427460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229012527744).

138586427460 is an abundant number, since it is smaller than the sum of its proper divisors (319438628028).

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

138586427460 is a wasteful number, since it uses less digits than its factorization.

138586427460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 138586427460 in words is "one hundred thirty-eight billion, five hundred eighty-six million, four hundred twenty-seven thousand, four hundred sixty".