Search a number
-
+
36122419328 = 2710721572
BaseRepresentation
bin100001101001000100…
…000110000010000000
310110020102201000210112
4201221010012002000
51042434314404303
624332220450452
72416101332612
oct415104060200
9113212630715
1036122419328
1114357189316
1270013a9a28
133538924028
141a69602db2
15e163940d8
hex869106080

36122419328 has 72 divisors (see below), whose sum is σ = 73107097245. Its totient is φ = 17778448896.

The previous prime is 36122419327. The next prime is 36122419331. The reversal of 36122419328 is 82391422163.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 34503805504 + 1618613824 = 185752^2 + 40232^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=134392.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36122419321) 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, 230079026 + ... + 230079182.

Almost surely, 236122419328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36122419328

36122419328 is an abundant number, since it is smaller than the sum of its proper divisors (36984677917).

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

36122419328 is an frugal number, since it uses more digits than its factorization.

36122419328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 266 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The spelling of 36122419328 in words is "thirty-six billion, one hundred twenty-two million, four hundred nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 107 128 157 214 314 428 628 856 1256 1712 2512 3424 5024 6848 10048 11449 13696 16799 20096 22898 24649 33598 45796 49298 67196 91592 98596 134392 183184 197192 268784 366368 394384 537568 732736 788768 1075136 1465472 1577536 1797493 2150272 2637443 3155072 3594986 5274886 7189972 10549772 14379944 21099544 28759888 42199088 57519776 84398176 115039552 168796352 230079104 282206401 337592704 564412802 1128825604 2257651208 4515302416 9030604832 18061209664 36122419328