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13780404864 = 273211962157
BaseRepresentation
bin11001101010110000…
…00100101010000000
31022120101021002200100
430311120010222000
5211210240423424
610155225522400
7665330336322
oct146530045200
938511232610
1013780404864
115931752156
122807043400
1313b7c83825
1494a273612
15559c07dc9
hex335604a80

13780404864 has 48 divisors (see below), whose sum is σ = 39654553770. Its totient is φ = 4593467904.

The previous prime is 13780404863. The next prime is 13780404871. The reversal of 13780404864 is 46840408731.

It can be written as a sum of positive squares in only one way, i.e., 7602444864 + 6177960000 = 87192^2 + 78600^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (13780404863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5979927 + ... + 5982230.

Almost surely, 213780404864 is an apocalyptic number.

It is an amenable number.

13780404864 is an abundant number, since it is smaller than the sum of its proper divisors (25874148906).

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

13780404864 is a wasteful number, since it uses less digits than its factorization.

13780404864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11962177 (or 11962162 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 13780404864 in words is "thirteen billion, seven hundred eighty million, four hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 11962157 23924314 35886471 47848628 71772942 95697256 107659413 143545884 191394512 215318826 287091768 382789024 430637652 574183536 765578048 861275304 1148367072 1531156096 1722550608 2296734144 3445101216 4593468288 6890202432 13780404864