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13664788992 = 2933988483
BaseRepresentation
bin11001011100111110…
…00010001000000000
31022021022201012112000
430232133002020000
5210441141221432
610135535504000
7662424534651
oct145637021000
938238635460
1013664788992
115882465248
122794388000
13139a03327a
14938b79528
1554e9bb57c
hex32e7c2200

13664788992 has 80 divisors (see below), whose sum is σ = 40448765280. Its totient is φ = 4554925056.

The previous prime is 13664788939. The next prime is 13664788993. The reversal of 13664788992 is 29988746631.

13664788992 is a `hidden beast` number, since 13 + 66 + 478 + 8 + 9 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (13664788993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480418 + ... + 508065.

It is an arithmetic number, because the mean of its divisors is an integer number (505609566).

Almost surely, 213664788992 is an apocalyptic number.

13664788992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13664788992 is an abundant number, since it is smaller than the sum of its proper divisors (26783976288).

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

13664788992 is an frugal number, since it uses more digits than its factorization.

13664788992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988510 (or 988488 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 13664788992 in words is "thirteen billion, six hundred sixty-four million, seven hundred eighty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 988483 1976966 2965449 3953932 5930898 7907864 8896347 11861796 15815728 17792694 23723592 26689041 31631456 35585388 47447184 53378082 63262912 71170776 94894368 106756164 126525824 142341552 189788736 213512328 253051648 284683104 379577472 427024656 506103296 569366208 759154944 854049312 1138732416 1518309888 1708098624 2277464832 3416197248 4554929664 6832394496 13664788992