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12795485120 = 2651123158047
BaseRepresentation
bin10111110101010101…
…11001101111000000
31020000201221222210022
423322222321233000
5202201121010440
65513403353012
7632040554225
oct137252715700
936021858708
1012795485120
1154767993a0
122591222768
13128bbc6692
1489552d94c
154ed504cb5
hex2faab9bc0

12795485120 has 112 divisors (see below), whose sum is σ = 34684581888. Its totient is φ = 4450575360.

The previous prime is 12795485119. The next prime is 12795485141. The reversal of 12795485120 is 2158459721.

It is a super-2 number, since 2×127954851202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1937 + ... + 159983.

Almost surely, 212795485120 is an apocalyptic number.

12795485120 is a gapful number since it is divisible by the number (10) 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 12795485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17342290944).

12795485120 is an abundant number, since it is smaller than the sum of its proper divisors (21889096768).

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

12795485120 is a wasteful number, since it uses less digits than its factorization.

12795485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158098 (or 158088 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 44.

The spelling of 12795485120 in words is "twelve billion, seven hundred ninety-five million, four hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 160 176 184 220 230 253 320 352 368 440 460 506 704 736 880 920 1012 1265 1472 1760 1840 2024 2530 3520 3680 4048 5060 7360 8096 10120 16192 20240 40480 80960 158047 316094 632188 790235 1264376 1580470 1738517 2528752 3160940 3477034 3635081 5057504 6321880 6954068 7270162 8692585 10115008 12643760 13908136 14540324 17385170 18175405 25287520 27816272 29080648 34770340 36350810 39985891 50575040 55632544 58161296 69540680 72701620 79971782 111265088 116322592 139081360 145403240 159943564 199929455 232645184 278162720 290806480 319887128 399858910 556325440 581612960 639774256 799717820 1163225920 1279548512 1599435640 2559097024 3198871280 6397742560 12795485120