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4043652006132 = 22331491619155209
BaseRepresentation
bin111010110101111100011…
…100010000000011110100
3112022120101001122101001000
4322311330130100003310
51012222344403144012
612333343400003300
7565100315640114
oct72657434200364
915276331571030
104043652006132
1113199a31599a2
1255382aa60530
1323441266966b
14dd9dc957044
15702b83c7ddc
hex3ad7c7100f4

4043652006132 has 96 divisors (see below), whose sum is σ = 10560488400000. Its totient is φ = 1338002226432.

The previous prime is 4043652006131. The next prime is 4043652006137. The reversal of 4043652006132 is 2316002563404.

4043652006132 is a `hidden beast` number, since 4 + 0 + 4 + 36 + 5 + 2 + 0 + 0 + 613 + 2 = 666.

4043652006132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40436520061322 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4043652006131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25975344 + ... + 26130552.

It is an arithmetic number, because the mean of its divisors is an integer number (110005087500).

Almost surely, 24043652006132 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 4043652006132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5280244200000).

4043652006132 is an abundant number, since it is smaller than the sum of its proper divisors (6516836393868).

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

4043652006132 is a wasteful number, since it uses less digits than its factorization.

4043652006132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156990 (or 156982 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 4043652006132 its reverse (2316002563404), we get a palindrome (6359654569536).

The spelling of 4043652006132 in words is "four trillion, forty-three billion, six hundred fifty-two million, six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 149 298 447 596 894 1341 1619 1788 2682 3238 4023 4857 5364 6476 8046 9714 14571 16092 19428 29142 43713 58284 87426 155209 174852 241231 310418 465627 482462 620836 723693 931254 964924 1396881 1447386 1862508 2171079 2793762 2894772 4190643 4342158 5587524 6513237 8381286 8684316 13026474 16762572 23126141 26052948 46252282 69378423 92504564 138756846 208135269 251283371 277513692 416270538 502566742 624405807 753850113 832541076 1005133484 1248811614 1507700226 2261550339 2497623228 3015400452 4523100678 6784651017 9046201356 13569302034 27138604068 37441222279 74882444558 112323666837 149764889116 224647333674 336971000511 449294667348 673942001022 1010913001533 1347884002044 2021826003066 4043652006132