Search a number
-
+
12900885312 = 263737259429
BaseRepresentation
bin11000000001111001…
…11110001101000000
31020022002021212200010
430000330332031000
5202410111312222
65532050424520
7634460500350
oct140074761500
936262255603
1012900885312
115520239097
122600592140
1312a79ab163
148a5528b60
155078c480c
hex300f3e340

12900885312 has 112 divisors (see below), whose sum is σ = 40064293760. Its totient is φ = 3586332672.

The previous prime is 12900885269. The next prime is 12900885313. The reversal of 12900885312 is 21358800921.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12900885313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79987 + ... + 179442.

Almost surely, 212900885312 is an apocalyptic number.

12900885312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12900885312 is an abundant number, since it is smaller than the sum of its proper divisors (27163408448).

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

12900885312 is a wasteful number, since it uses less digits than its factorization.

12900885312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259488 (or 259478 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 12900885312 in words is "twelve billion, nine hundred million, eight hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 224 259 296 336 444 448 518 592 672 777 888 1036 1184 1344 1554 1776 2072 2368 3108 3552 4144 6216 7104 8288 12432 16576 24864 49728 259429 518858 778287 1037716 1556574 1816003 2075432 3113148 3632006 4150864 5448009 6226296 7264012 8301728 9598873 10896018 12452592 14528024 16603456 19197746 21792036 24905184 28796619 29056048 38395492 43584072 49810368 57593238 58112096 67192111 76790984 87168144 115186476 116224192 134384222 153581968 174336288 201576333 230372952 268768444 307163936 348672576 403152666 460745904 537536888 614327872 806305332 921491808 1075073776 1612610664 1842983616 2150147552 3225221328 4300295104 6450442656 12900885312