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16125323136 = 2731325712569
BaseRepresentation
bin11110000010010010…
…01110011110000000
31112121210122021211020
433001021032132000
5231011040320021
611224033345440
71110412661616
oct170111163600
945553567736
1016125323136
116925362a3a
123160408280
13169ca25030
14acd8756b6
156459ed7c6
hex3c124e780

16125323136 has 128 divisors (see below), whose sum is σ = 46310896800. Its totient is φ = 4941938688.

The previous prime is 16125323111. The next prime is 16125323167. The reversal of 16125323136 is 63132352161.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 16125323097 and 16125323106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1276660 + ... + 1289228.

Almost surely, 216125323136 is an apocalyptic number.

16125323136 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 16125323136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23155448400).

16125323136 is an abundant number, since it is smaller than the sum of its proper divisors (30185573664).

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

16125323136 is a wasteful number, since it uses less digits than its factorization.

16125323136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12856 (or 12844 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

Adding to 16125323136 its reverse (63132352161), we get a palindrome (79257675297).

The spelling of 16125323136 in words is "sixteen billion, one hundred twenty-five million, three hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 257 312 384 416 514 624 771 832 1028 1248 1542 1664 2056 2496 3084 3341 4112 4992 6168 6682 8224 10023 12336 12569 13364 16448 20046 24672 25138 26728 32896 37707 40092 49344 50276 53456 75414 80184 98688 100552 106912 150828 160368 163397 201104 213824 301656 320736 326794 402208 427648 490191 603312 641472 653588 804416 980382 1206624 1282944 1307176 1608832 1960764 2413248 2614352 3230233 3921528 4826496 5228704 6460466 7843056 9690699 10457408 12920932 15686112 19381398 20914816 25841864 31372224 38762796 41993029 51683728 62744448 77525592 83986058 103367456 125979087 155051184 167972116 206734912 251958174 310102368 335944232 413469824 503916348 620204736 671888464 1007832696 1240409472 1343776928 2015665392 2687553856 4031330784 5375107712 8062661568 16125323136