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21355400455312 = 2472112476275563
BaseRepresentation
bin1001101101100001100010…
…00011101110010010010000
32210121120000120112200111011
410312300301003232102100
510244341330004032222
6113230311401500304
74332606505552600
oct466606103562220
983546016480434
1021355400455312
116893857906290
12248a9a04a1694
13bbba61c4a381
1453b86d47ac00
1527078280ac77
hex136c310ee490

21355400455312 has 60 divisors (see below), whose sum is σ = 52506947059056. Its totient is φ = 8320285888320.

The previous prime is 21355400455297. The next prime is 21355400455373.

21355400455312 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1238129158 + ... + 1238146405.

Almost surely, 221355400455312 is an apocalyptic number.

21355400455312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21355400455312 is an abundant number, since it is smaller than the sum of its proper divisors (31151546603744).

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

21355400455312 is a wasteful number, since it uses less digits than its factorization.

21355400455312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476275596 (or 2476275583 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 21355400455312 in words is "twenty-one trillion, three hundred fifty-five billion, four hundred million, four hundred fifty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 1078 1232 2156 4312 8624 2476275563 4952551126 9905102252 17333928941 19810204504 27239031193 34667857882 39620409008 54478062386 69335715764 108956124772 121337502587 138671431528 190673218351 217912249544 242675005174 277342863056 381346436702 435824499088 485350010348 762692873404 970700020696 1334712528457 1525385746808 1941400041392 2669425056914 3050771493616 5338850113828 10677700227656 21355400455312