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10418882712 = 23371915672083
BaseRepresentation
bin10011011010000001…
…11000100010011000
3222220002222002011220
421231000320202120
5132314213221322
64441504452040
7516122020230
oct115500704230
928802862156
1010418882712
114467207877
12202931a020
13ca0710774
1470ba40cc0
1540ea5155c
hex26d038898

10418882712 has 128 divisors (see below), whose sum is σ = 31370035200. Its totient is φ = 2816995968.

The previous prime is 10418882699. The next prime is 10418882713. The reversal of 10418882712 is 21728881401.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10418882713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5000823 + ... + 5002905.

It is an arithmetic number, because the mean of its divisors is an integer number (245078400).

Almost surely, 210418882712 is an apocalyptic number.

10418882712 is a gapful number since it is divisible by the number (12) 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 10418882712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685017600).

10418882712 is an abundant number, since it is smaller than the sum of its proper divisors (20951152488).

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

10418882712 is a wasteful number, since it uses less digits than its factorization.

10418882712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The spelling of 10418882712 in words is "ten billion, four hundred eighteen million, eight hundred eighty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1567 1596 2083 3134 3192 4166 4701 6249 6268 8332 9402 10969 12498 12536 14581 16664 18804 21938 24996 29162 29773 32907 37608 39577 43743 43876 49992 58324 59546 65814 79154 87486 87752 89319 116648 118731 119092 131628 158308 174972 178638 208411 237462 238184 263256 277039 316616 349944 357276 416822 474924 554078 625233 714552 831117 833644 949848 1108156 1250466 1662234 1667288 2216312 2500932 3264061 3324468 5001864 6528122 6648936 9792183 13056244 19584366 22848427 26112488 39168732 45696854 62017159 68545281 78337464 91393708 124034318 137090562 182787416 186051477 248068636 274181124 372102954 434120113 496137272 548362248 744205908 868240226 1302360339 1488411816 1736480452 2604720678 3472960904 5209441356 10418882712