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2157431436 = 223419933461
BaseRepresentation
bin1000000010010111…
…1100101010001100
312120100120212120000
42000211330222030
513404300301221
6554025124300
7104314602366
oct20045745214
95510525500
102157431436
11a078a5196
12502629690
13284c78964
14166759d36
15c960de26
hex8097ca8c

2157431436 has 60 divisors (see below), whose sum is σ = 5668462800. Its totient is φ = 715508640.

The previous prime is 2157431431. The next prime is 2157431449. The reversal of 2157431436 is 6341347512.

2157431436 is a `hidden beast` number, since 21 + 574 + 31 + 4 + 36 = 666.

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 2157431436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157431431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47746 + ... + 81206.

It is an arithmetic number, because the mean of its divisors is an integer number (94474380).

Almost surely, 22157431436 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 2157431436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834231400).

2157431436 is an abundant number, since it is smaller than the sum of its proper divisors (3511031364).

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

2157431436 is a wasteful number, since it uses less digits than its factorization.

2157431436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33676 (or 33665 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 2157431436 is about 46448.1585856748. The cubic root of 2157431436 is about 1292.1482215800.

Adding to 2157431436 its reverse (6341347512), we get a palindrome (8498778948).

The spelling of 2157431436 in words is "two billion, one hundred fifty-seven million, four hundred thirty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 199 324 398 597 796 1194 1791 2388 3582 5373 7164 10746 16119 21492 32238 33461 64476 66922 100383 133844 200766 301149 401532 602298 903447 1204596 1806894 2710341 3613788 5420682 6658739 10841364 13317478 19976217 26634956 39952434 59928651 79904868 119857302 179785953 239714604 359571906 539357859 719143812 1078715718 2157431436