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21422420496 = 2432121972
BaseRepresentation
bin10011111100111000…
…000011001000010000
32001021222001201100100
4103330320003020100
5322333114423441
613501420452400
71355603366301
oct237470031020
961258051310
1021422420496
1190a3441654
12419a3aa100
1320352a6479
1410731927a8
15855a8dcb6
hex4fce03210

21422420496 has 45 divisors (see below), whose sum is σ = 59957939821. Its totient is φ = 7140221376.

The previous prime is 21422420483. The next prime is 21422420497. The reversal of 21422420496 is 69402422412.

The square root of 21422420496 is 146364.

It is a perfect power (a square), and thus also a powerful number.

21422420496 is a `hidden beast` number, since 2 + 142 + 2 + 4 + 20 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15202890000 + 6219530496 = 123300^2 + 78864^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21422420496.

It is not an unprimeable number, because it can be changed into a prime (21422420497) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1750270 + ... + 1762466.

Almost surely, 221422420496 is an apocalyptic number.

21422420496 is the 146364-th square number.

It is an amenable number.

21422420496 is an abundant number, since it is smaller than the sum of its proper divisors (38535519325).

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

21422420496 is an frugal number, since it uses more digits than its factorization.

21422420496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24408 (or 12202 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 21422420496 by its sum of digits (36), we get a square (771207137856 = 8781842).

21422420496 divided by its sum of digits (36) gives a square (595067236 = 243942).

The spelling of 21422420496 in words is "twenty-one billion, four hundred twenty-two million, four hundred twenty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 12197 24394 36591 48788 73182 97576 109773 146364 195152 219546 292728 439092 585456 878184 1756368 148766809 297533618 446300427 595067236 892600854 1190134472 1338901281 1785201708 2380268944 2677802562 3570403416 5355605124 7140806832 10711210248 21422420496