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12148031952 = 2432791113229
BaseRepresentation
bin10110101000001010…
…00100000111010000
31011100121122222000100
423110011010013100
5144334344010302
65325234252400
7610016365530
oct132405040720
934317588010
1012148031952
11517427a231
122430427100
1311b7a249b4
148335534c0
154b1761d1c
hex2d41441d0

12148031952 has 120 divisors (see below), whose sum is σ = 38900010240. Its totient is φ = 3466794240.

The previous prime is 12148031941. The next prime is 12148031977. The reversal of 12148031952 is 25913084121.

12148031952 is a `hidden beast` number, since 1 + 214 + 80 + 319 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 911674 + ... + 924902.

It is an arithmetic number, because the mean of its divisors is an integer number (324166752).

Almost surely, 212148031952 is an apocalyptic number.

12148031952 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 12148031952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19450005120).

12148031952 is an abundant number, since it is smaller than the sum of its proper divisors (26751978288).

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

12148031952 is a wasteful number, since it uses less digits than its factorization.

12148031952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14161 (or 14152 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 12148031952 in words is "twelve billion, one hundred forty-eight million, thirty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 911 1008 1822 2733 3644 5466 6377 7288 8199 10932 12754 13229 14576 16398 19131 21864 25508 26458 32796 38262 39687 43728 51016 52916 57393 65592 76524 79374 92603 102032 105832 114786 119061 131184 153048 158748 185206 211664 229572 238122 277809 306096 317496 370412 459144 476244 555618 634992 740824 833427 918288 952488 1111236 1481648 1666854 1904976 2222472 3333708 4444944 6667416 12051619 13334832 24103238 36154857 48206476 72309714 84361333 96412952 108464571 144619428 168722666 192825904 216929142 253083999 289238856 337445332 433858284 506167998 578477712 674890664 759251997 867716568 1012335996 1349781328 1518503994 1735433136 2024671992 3037007988 4049343984 6074015976 12148031952