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138468180501 = 327103144714747
BaseRepresentation
bin1000000011110101011…
…0001100001000010101
3111020102002022101102200
42000331112030020111
54232040323234001
6143340021355113
713001241054150
oct2007526141025
9436362271380
10138468180501
11537a6750512
1222a04868a99
131009940b821
1469b8004c97
1539064de086
hex203d58c215

138468180501 has 48 divisors (see below), whose sum is σ = 230976804864. Its totient is φ = 78297013152.

The previous prime is 138468180497. The next prime is 138468180533. The reversal of 138468180501 is 105081864831.

138468180501 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 68 + 1 + 80 + 501 = 666.

It is not a de Polignac number, because 138468180501 - 22 = 138468180497 is a prime.

It is a super-2 number, since 2×1384681805012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138468190501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9382210 + ... + 9396956.

It is an arithmetic number, because the mean of its divisors is an integer number (4812016768).

Almost surely, 2138468180501 is an apocalyptic number.

It is an amenable number.

138468180501 is a deficient number, since it is larger than the sum of its proper divisors (92508624363).

138468180501 is a wasteful number, since it uses less digits than its factorization.

138468180501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16310 (or 16307 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 138468180501 in words is "one hundred thirty-eight billion, four hundred sixty-eight million, one hundred eighty thousand, five hundred one".

Divisors: 1 3 7 9 21 63 103 309 721 927 1447 2163 4341 6489 10129 13023 14747 30387 44241 91161 103229 132723 149041 309687 447123 929061 1043287 1341369 1518941 3129861 4556823 9389583 10632587 13670469 21338909 31897761 64016727 95693283 149372363 192050181 448117089 1344351267 2197907627 6593722881 15385353389 19781168643 46156060167 138468180501