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387878828121213 = 3111317197473357041
BaseRepresentation
bin101100000110001100001001…
…1110001000001110001111101
31212212100212001102220210100220
41120030120103301001301331
5401320001314444334323
63452541023531011553
7144462214643631222
oct13014302361016175
91785325042823326
10387878828121213
1110265453a548910
1237605622899bb9
1313857a7cc47410
146bad614c33949
152ec99424240e3
hex160c613c41c7d

387878828121213 has 128 divisors (see below), whose sum is σ = 646740363354624. Its totient is φ = 203147531059200.

The previous prime is 387878828121209. The next prime is 387878828121221. The reversal of 387878828121213 is 312121828878783.

387878828121213 is an astonishing number since 387878828121213 = 3878788 + ... + 28121213.

It is not a de Polignac number, because 387878828121213 - 22 = 387878828121209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387878828121203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6799971973 + ... + 6800029013.

It is an arithmetic number, because the mean of its divisors is an integer number (5052659088708).

Almost surely, 2387878828121213 is an apocalyptic number.

387878828121213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

387878828121213 is a deficient number, since it is larger than the sum of its proper divisors (258861535233411).

387878828121213 is a wasteful number, since it uses less digits than its factorization.

387878828121213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62015.

The product of its digits is 115605504, while the sum is 69.

The spelling of 387878828121213 in words is "three hundred eighty-seven trillion, eight hundred seventy-eight billion, eight hundred twenty-eight million, one hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 3 11 13 17 33 39 51 143 187 197 221 429 561 591 663 2167 2431 2561 3349 4733 6501 7293 7683 10047 14199 28171 36839 43537 52063 57041 61529 80461 84513 110517 130611 156189 171123 184587 241383 478907 627451 676819 741533 885071 932401 969697 1045993 1436721 1882353 2030457 2224599 2655213 2797203 2909091 3137979 8156863 10256411 10666667 11237077 11505923 12121213 12606061 15850817 24470589 30769233 32000001 33711231 34517769 36363639 37818183 47552451 123607847 133333343 138666671 146082001 174358987 191030309 206060621 269975053 370823541 400000029 416000013 438246003 523076961 573090927 618181863 809925159 1606902011 2101333399 2266666831 2483394017 2969725583 3509675689 4589575901 4820706033 6304000197 6800000493 7450182051 8909176749 10529027067 13768727703 27317334187 38606432579 50485334911 53185085441 59664486713 81952002561 115819297737 151456004733 159555256323 178993460139 585035939851 656309353843 691406110733 904146452497 1755107819553 1968928061529 2074218332199 2712439357491 7605467218063 9945610977467 11753903882461 22816401654189 29836832932401 35261711647383 129292942707071 387878828121213