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20400664644 = 2233672819329
BaseRepresentation
bin10010111111111110…
…010111000001000100
31221122202110010211000
4102333332113001010
5313240032232034
613212201013300
71321355534253
oct227776270104
957582403730
1020400664644
118719709328
123b54184230
131c016bc8c9
14db75c079a
157e6011599
hex4bff97044

20400664644 has 48 divisors (see below), whose sum is σ = 53680043200. Its totient is φ = 6698723328.

The previous prime is 20400664601. The next prime is 20400664651. The reversal of 20400664644 is 44646600402.

It is a happy number.

20400664644 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 0 + 6 + 6 + 4 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20400664599 and 20400664608.

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 15 ways as a sum of consecutive naturals, for example, 1402429 + ... + 1416900.

Almost surely, 220400664644 is an apocalyptic number.

It is an amenable number.

20400664644 is an abundant number, since it is smaller than the sum of its proper divisors (33279378556).

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

20400664644 is a wasteful number, since it uses less digits than its factorization.

20400664644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819409 (or 2819401 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 20400664644 in words is "twenty billion, four hundred million, six hundred sixty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 603 804 1206 1809 2412 3618 7236 2819329 5638658 8457987 11277316 16915974 25373961 33831948 50747922 76121883 101495844 152243766 188895043 304487532 377790086 566685129 755580172 1133370258 1700055387 2266740516 3400110774 5100166161 6800221548 10200332322 20400664644