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11537126432 = 25131711314437
BaseRepresentation
bin10101011111010101…
…01001010000100000
31002210001010202011222
422233222221100200
5142112001021212
65144452354212
7555620646056
oct125752512040
932701122158
1011537126432
114990452937
12229b915968
13111b2ab340
147b636c1d6
15477cdcc72
hex2afaa9420

11537126432 has 96 divisors (see below), whose sum is σ = 26130816432. Its totient is φ = 4966907904.

The previous prime is 11537126413. The next prime is 11537126437. The reversal of 11537126432 is 23462173511.

It can be written as a sum of positive squares in 8 ways, for example, as 1845905296 + 9691221136 = 42964^2 + 98444^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11537126392 and 11537126401.

It is not an unprimeable number, because it can be changed into a prime (11537126437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791918 + ... + 806354.

Almost surely, 211537126432 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 11537126432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13065408216).

11537126432 is an abundant number, since it is smaller than the sum of its proper divisors (14593690000).

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

11537126432 is a wasteful number, since it uses less digits than its factorization.

11537126432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14590 (or 14582 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

Adding to 11537126432 its reverse (23462173511), we get a palindrome (34999299943).

The spelling of 11537126432 in words is "eleven billion, five hundred thirty-seven million, one hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 113 136 208 221 226 272 416 442 452 544 884 904 1469 1768 1808 1921 2938 3536 3616 3842 5876 7072 7684 11752 14437 15368 23504 24973 28874 30736 47008 49946 57748 61472 99892 115496 187681 199784 230992 245429 375362 399568 461984 490858 750724 799136 981716 1501448 1631381 1963432 3002896 3190577 3262762 3926864 6005792 6381154 6525524 7853728 12762308 13051048 21207953 25524616 26102096 27733477 42415906 51049232 52204192 55466954 84831812 102098464 110933908 169663624 221867816 339327248 360535201 443735632 678654496 721070402 887471264 1442140804 2884281608 5768563216 11537126432