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352135681068 = 223294137965119
BaseRepresentation
bin1010001111111001110…
…11000001010000101100
31020122220221102001000210
411013330323001100230
521232133213243233
6425434025422420
734304151621453
oct5077473012054
91218827361023
10352135681068
11126381459126
12582b563aa10
132728b1a0232
1413087369b9a
15925e7b8163
hex51fcec142c

352135681068 has 96 divisors (see below), whose sum is σ = 873024768000. Its totient is φ = 110273425920.

The previous prime is 352135681067. The next prime is 352135681123. The reversal of 352135681068 is 860186531253.

It is not an unprimeable number, because it can be changed into a prime (352135681067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5375013 + ... + 5440131.

It is an arithmetic number, because the mean of its divisors is an integer number (9094008000).

Almost surely, 2352135681068 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 352135681068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436512384000).

352135681068 is an abundant number, since it is smaller than the sum of its proper divisors (520889086932).

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

352135681068 is a wasteful number, since it uses less digits than its factorization.

352135681068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65575 (or 65573 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

It can be divided in two parts, 352135 and 681068, that added together give a triangular number (1033203 = T1437).

The spelling of 352135681068 in words is "three hundred fifty-two billion, one hundred thirty-five million, six hundred eighty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 29 41 58 82 87 116 123 164 174 246 348 379 492 758 1137 1189 1516 2274 2378 3567 4548 4756 7134 10991 14268 15539 21982 31078 32973 43964 46617 62156 65119 65946 93234 130238 131892 186468 195357 260476 390714 450631 781428 901262 1351893 1802524 1888451 2669879 2703786 3776902 5339758 5407572 5665353 7553804 8009637 10679516 11330706 16019274 22661412 24680101 32038548 49360202 74040303 77426491 98720404 148080606 154852982 232279473 296161212 309705964 464558946 715722929 929117892 1011884141 1431445858 2023768282 2147168787 2862891716 3035652423 4047536564 4294337574 6071304846 8588675148 12142609692 29344640089 58689280178 88033920267 117378560356 176067840534 352135681068