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21355422455312 = 2411211030693417
BaseRepresentation
bin1001101101100001100100…
…10111101001011000010000
32210121120002002221101210222
410312300302113221120100
510244341401122032222
6113230313505212212
74332610163551541
oct466606227513020
983546062841728
1021355422455312
116893869272200
12248a9a7931068
13bbba66680c1a
1453b8723664c8
15270784704542
hex136c325e9610

21355422455312 has 30 divisors (see below), whose sum is σ = 45479548962414. Its totient is φ = 9707010206080.

The previous prime is 21355422455291. The next prime is 21355422455369.

21355422455312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 20354390189056 + 1001032266256 = 4511584^2 + 1000516^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5515344773 + ... + 5515348644.

Almost surely, 221355422455312 is an apocalyptic number.

21355422455312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21355422455312 is an abundant number, since it is smaller than the sum of its proper divisors (24124126507102).

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

21355422455312 is a wasteful number, since it uses less digits than its factorization.

21355422455312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11030693447 (or 11030693430 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 44.

The spelling of 21355422455312 in words is "twenty-one trillion, three hundred fifty-five billion, four hundred twenty-two million, four hundred fifty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 11030693417 22061386834 44122773668 88245547336 121337627587 176491094672 242675255174 485350510348 970701020696 1334713903457 1941402041392 2669427806914 5338855613828 10677711227656 21355422455312