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13161500496 = 24322311933331
BaseRepresentation
bin11000100000111110…
…01000111101010000
31020222020200111111100
430100133020331100
5203423321003441
610014000344400
7644103623364
oct142037107520
936866614440
1013161500496
115644362141
122673915100
131319999421
148cbda92a4
15520703cb6
hex3107c8f50

13161500496 has 120 divisors (see below), whose sum is σ = 38479162176. Its totient is φ = 4191644160.

The previous prime is 13161500467. The next prime is 13161500503. The reversal of 13161500496 is 69400516131.

13161500496 is a `hidden beast` number, since 1 + 3 + 1 + 61 + 500 + 4 + 96 = 666.

It is a super-3 number, since 3×131615004963 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13161500496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3949551 + ... + 3952881.

Almost surely, 213161500496 is an apocalyptic number.

13161500496 is a gapful number since it is divisible by the number (16) 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 13161500496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19239581088).

13161500496 is an abundant number, since it is smaller than the sum of its proper divisors (25317661680).

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

13161500496 is a wasteful number, since it uses less digits than its factorization.

13161500496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4552 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13161500496 in words is "thirteen billion, one hundred sixty-one million, five hundred thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1193 1656 2386 3312 3331 3579 4772 6662 7158 9544 9993 10737 13324 14316 19088 19986 21474 26648 27439 28632 29979 39972 42948 53296 54878 57264 59958 76613 79944 82317 85896 109756 119916 153226 159888 164634 171792 219512 229839 239832 246951 306452 329268 439024 459678 479664 493902 612904 658536 689517 919356 987804 1225808 1317072 1379034 1838712 1975608 2758068 3677424 3951216 3973883 5516136 7947766 11032272 11921649 15895532 23843298 31791064 35764947 47686596 63582128 71529894 91399309 95373192 143059788 182798618 190746384 274197927 286119576 365597236 548395854 572239152 731194472 822593781 1096791708 1462388944 1645187562 2193583416 3290375124 4387166832 6580750248 13161500496