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13557821376 = 263116419423
BaseRepresentation
bin11001010000001101…
…11110111111000000
31021222212102200112110
430220012332333000
5210231300241001
610121155055320
7656655403011
oct145006767700
937885380473
1013557821376
115828044960
1227645a1540
131380b20218
14928893008
155453dc3d6
hex3281befc0

13557821376 has 56 divisors (see below), whose sum is σ = 39132808704. Its totient is φ = 4108430080.

The previous prime is 13557821369. The next prime is 13557821383. The reversal of 13557821376 is 67312875531.

13557821376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13557821369) and next prime (13557821383).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3207600 + ... + 3211823.

Almost surely, 213557821376 is an apocalyptic number.

13557821376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13557821376 is an abundant number, since it is smaller than the sum of its proper divisors (25574987328).

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

13557821376 is a wasteful number, since it uses less digits than its factorization.

13557821376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6419449 (or 6419439 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 48.

The spelling of 13557821376 in words is "thirteen billion, five hundred fifty-seven million, eight hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 6419423 12838846 19258269 25677692 38516538 51355384 70613653 77033076 102710768 141227306 154066152 205421536 211840959 282454612 308132304 410843072 423681918 564909224 616264608 847363836 1129818448 1232529216 1694727672 2259636896 3389455344 4519273792 6778910688 13557821376