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21353505632416 = 2531134691598167
BaseRepresentation
bin1001101101011110000000…
…00111100011000010100000
32210121101010112002201010101
410312233000013203002200
510244323434420214131
6113225355353112144
74332511530044566
oct466570007430240
983541115081111
1021353505632416
116892a75276851
12248a5519b8654
13bbb81c50a0a9
1453b72d95da36
152706c12c1c61
hex136bc01e30a0

21353505632416 has 48 divisors (see below), whose sum is σ = 43399083087360. Its totient is φ = 10331567850240.

The previous prime is 21353505632321. The next prime is 21353505632419. The reversal of 21353505632416 is 61423650535312.

It is a super-2 number, since 2×213535056324162 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21353505632419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12562165 + ... + 14160331.

It is an arithmetic number, because the mean of its divisors is an integer number (904147564320).

Almost surely, 221353505632416 is an apocalyptic number.

It is an amenable number.

21353505632416 is an abundant number, since it is smaller than the sum of its proper divisors (22045577454944).

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

21353505632416 is a wasteful number, since it uses less digits than its factorization.

21353505632416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611677 (or 1611669 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 46.

The spelling of 21353505632416 in words is "twenty-one trillion, three hundred fifty-three billion, five hundred five million, six hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 13469 26938 53876 107752 215504 417539 431008 835078 1598167 1670156 3196334 3340312 6392668 6680624 12785336 13361248 25570672 49543177 51141344 99086354 198172708 396345416 792690832 1585381664 21525711323 43051422646 86102845292 172205690584 344411381168 667297051013 688822762336 1334594102026 2669188204052 5338376408104 10676752816208 21353505632416