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13828753088 = 261716377977
BaseRepresentation
bin11001110000100001…
…00000011011000000
31022200202020102222022
430320100200123000
5211310130044323
610204114101012
7666455314253
oct147020403300
938622212868
1013828753088
115956a74967
12281b27a768
1313c4cb1147
1495285b09a
1555e0a84c8
hex3384206c0

13828753088 has 56 divisors (see below), whose sum is σ = 29234264112. Its totient is φ = 6467641344.

The previous prime is 13828753073. The next prime is 13828753091. The reversal of 13828753088 is 88035782831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138356 + ... + 216332.

Almost surely, 213828753088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13828753088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14617132056).

13828753088 is an abundant number, since it is smaller than the sum of its proper divisors (15405511024).

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

13828753088 is a wasteful number, since it uses less digits than its factorization.

13828753088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78169 (or 78159 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 53.

The spelling of 13828753088 in words is "thirteen billion, eight hundred twenty-eight million, seven hundred fifty-three thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 163 272 326 544 652 1088 1304 2608 2771 5216 5542 10432 11084 22168 44336 77977 88672 155954 177344 311908 623816 1247632 1325609 2495264 2651218 4990528 5302436 10604872 12710251 21209744 25420502 42419488 50841004 84838976 101682008 203364016 216074267 406728032 432148534 813456064 864297068 1728594136 3457188272 6914376544 13828753088