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13887148608 = 2632131184043
BaseRepresentation
bin11001110111011110…
…10001001001000000
31022211211010020120100
430323233101021000
5211420102223413
610214001442400
71001064546504
oct147357211100
938754106510
1013887148608
115986a2a323
122836940400
1314041189c8
1495a4dc304
15564290a73
hex33bbd1240

13887148608 has 84 divisors (see below), whose sum is σ = 40109077008. Its totient is φ = 4593688320.

The previous prime is 13887148603. The next prime is 13887148687. The reversal of 13887148608 is 80684178831.

It is a happy number.

13887148608 is a `hidden beast` number, since 13 + 8 + 8 + 7 + 14 + 8 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (13887148601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16566 + ... + 167477.

It is an arithmetic number, because the mean of its divisors is an integer number (477489012).

Almost surely, 213887148608 is an apocalyptic number.

13887148608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13887148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20054538504).

13887148608 is an abundant number, since it is smaller than the sum of its proper divisors (26221928400).

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

13887148608 is a wasteful number, since it uses less digits than its factorization.

13887148608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184192 (or 184179 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 13887148608 in words is "thirteen billion, eight hundred eighty-seven million, one hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 131 144 192 262 288 393 524 576 786 1048 1179 1572 2096 2358 3144 4192 4716 6288 8384 9432 12576 18864 25152 37728 75456 184043 368086 552129 736172 1104258 1472344 1656387 2208516 2944688 3312774 4417032 5889376 6625548 8834064 11778752 13251096 17668128 24109633 26502192 35336256 48219266 53004384 72328899 96438532 106008768 144657798 192877064 216986697 289315596 385754128 433973394 578631192 771508256 867946788 1157262384 1543016512 1735893576 2314524768 3471787152 4629049536 6943574304 13887148608