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13759987212 = 22331278111237
BaseRepresentation
bin11001101000010100…
…01011111000001100
31022111221211202221000
430310022023320030
5211140024042322
610153220140300
7664661650536
oct146412137014
938457752830
1013759987212
115921177064
122800237690
1313b398528a
1494767a856
155580233ac
hex33428be0c

13759987212 has 96 divisors (see below), whose sum is σ = 36028375040. Its totient is φ = 4541261760.

The previous prime is 13759987159. The next prime is 13759987217. The reversal of 13759987212 is 21278995731.

It is a happy number.

13759987212 is a `hidden beast` number, since 1 + 37 + 599 + 8 + 7 + 2 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13759987217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11123058 + ... + 11124294.

Almost surely, 213759987212 is an apocalyptic number.

13759987212 is a gapful number since it is divisible by the number (12) 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 13759987212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18014187520).

13759987212 is an abundant number, since it is smaller than the sum of its proper divisors (22268387828).

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

13759987212 is a wasteful number, since it uses less digits than its factorization.

13759987212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2180 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The spelling of 13759987212 in words is "thirteen billion, seven hundred fifty-nine million, nine hundred eighty-seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 381 508 762 811 1143 1237 1524 1622 2286 2433 2474 3244 3429 3711 4572 4866 4948 6858 7299 7422 9732 11133 13716 14598 14844 21897 22266 29196 33399 43794 44532 66798 87588 102997 133596 157099 205994 308991 314198 411988 471297 617982 628396 926973 942594 1003207 1235964 1413891 1853946 1885188 2006414 2780919 2827782 3009621 3707892 4012828 4241673 5561838 5655564 6019242 8483346 9028863 11123676 12038484 16966692 18057726 27086589 36115452 54173178 108346356 127407289 254814578 382221867 509629156 764443734 1146665601 1528887468 2293331202 3439996803 4586662404 6879993606 13759987212