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13868233456 = 24711192325759
BaseRepresentation
bin11001110101001110…
…00111001011110000
31022210111112020212011
430322213013023300
5211400231432311
610212044212304
71000445016340
oct147247071360
938714466764
1013868233456
115977290070
12283053a094
1314002252cc
14957bb6d20
155627a6321
hex33a9c72f0

13868233456 has 160 divisors (see below), whose sum is σ = 36797644800. Its totient is φ = 4896080640.

The previous prime is 13868233409. The next prime is 13868233471. The reversal of 13868233456 is 65433286831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525505 + ... + 551263.

It is an arithmetic number, because the mean of its divisors is an integer number (229985280).

Almost surely, 213868233456 is an apocalyptic number.

13868233456 is a gapful number since it is divisible by the number (16) 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 13868233456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398822400).

13868233456 is an abundant number, since it is smaller than the sum of its proper divisors (22929411344).

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

13868233456 is a wasteful number, since it uses less digits than its factorization.

13868233456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25827 (or 25821 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 49.

The spelling of 13868233456 in words is "thirteen billion, eight hundred sixty-eight million, two hundred thirty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 19 22 23 28 38 44 46 56 76 77 88 92 112 133 152 154 161 176 184 209 253 266 304 308 322 368 418 437 506 532 616 644 836 874 1012 1064 1232 1288 1463 1672 1748 1771 2024 2128 2576 2926 3059 3344 3496 3542 4048 4807 5852 6118 6992 7084 9614 11704 12236 14168 19228 23408 24472 25759 28336 33649 38456 48944 51518 67298 76912 103036 134596 180313 206072 269192 283349 360626 412144 489421 538384 566698 592457 721252 978842 1133396 1184914 1442504 1957684 1983443 2266792 2369828 2885008 3425947 3915368 3966886 4147199 4533584 4739656 5383631 6517027 6851894 7830736 7933772 8294398 9479312 10767262 11256683 13034054 13703788 15867544 16588796 21534524 22513366 26068108 27407576 31735088 33177592 37685417 43069048 45026732 45619189 52136216 54815152 66355184 75370834 78796781 86138096 90053464 91238378 104272432 123823513 150741668 157593562 180106928 182476756 247647026 301483336 315187124 364953512 495294052 602966672 630374248 729907024 866764591 990588104 1260748496 1733529182 1981176208 3467058364 6934116728 13868233456