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13677316770 = 23513374492111
BaseRepresentation
bin11001011110011101…
…10100101010100010
31022022012021200101210
430233032310222202
5211002343114040
610141104210550
7662636163045
oct145716645242
938265250353
1013677316770
115889541587
122798609a56
13139c7cb560
1493a6bac5c
15550b43480
hex32f3b4aa2

13677316770 has 128 divisors (see below), whose sum is σ = 36404121600. Its totient is φ = 3266887680.

The previous prime is 13677316769. The next prime is 13677316831. The reversal of 13677316770 is 7761377631.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6478015 + ... + 6480125.

It is an arithmetic number, because the mean of its divisors is an integer number (284407200).

Almost surely, 213677316770 is an apocalyptic number.

13677316770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13677316770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18202060800).

13677316770 is an abundant number, since it is smaller than the sum of its proper divisors (22726804830).

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

13677316770 is a wasteful number, since it uses less digits than its factorization.

13677316770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620.

The product of its (nonzero) digits is 777924, while the sum is 48.

It can be divided in two parts, 1367 and 7316770, that added together give a palindrome (7318137).

The spelling of 13677316770 in words is "thirteen billion, six hundred seventy-seven million, three hundred sixteen thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 185 195 222 370 390 449 481 555 898 962 1110 1347 1443 2111 2245 2405 2694 2886 4222 4490 4810 5837 6333 6735 7215 10555 11674 12666 13470 14430 16613 17511 21110 27443 29185 31665 33226 35022 49839 54886 58370 63330 78107 82329 83065 87555 99678 137215 156214 164658 166130 175110 215969 234321 249195 274430 390535 411645 431938 468642 498390 647907 781070 823290 947839 1015391 1079845 1171605 1295814 1895678 2030782 2159690 2343210 2843517 3046173 3239535 4739195 5076955 5687034 6092346 6479070 9478390 10153910 12321907 14217585 15230865 24643814 28435170 30461730 35070043 36965721 61609535 70140086 73931442 105210129 123219070 175350215 184828605 210420258 350700430 369657210 455910559 526050645 911821118 1052101290 1367731677 2279552795 2735463354 4559105590 6838658385 13677316770