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1483051640832 = 21132653123217
BaseRepresentation
bin10101100101001100110…
…001000010100000000000
312020210000102022021201100
4111211030301002200000
5143244242210001312
63053145435334400
7212101254644466
oct25451461024000
95223012267640
101483051640832
11521a5aa96293
121bb512bb1400
13a9b0b034408
1451acc790836
152889e4c35dc
hex1594cc42800

1483051640832 has 144 divisors (see below), whose sum is σ = 4289919690420. Its totient is φ = 493589495808.

The previous prime is 1483051640767. The next prime is 1483051640869. The reversal of 1483051640832 is 2380461503841.

1483051640832 is a `hidden beast` number, since 1 + 483 + 0 + 5 + 164 + 0 + 8 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1399053689856 + 83997950976 = 1182816^2 + 289824^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11974488 + ... + 12097704.

Almost surely, 21483051640832 is an apocalyptic number.

1483051640832 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 1483051640832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144959845210).

1483051640832 is an abundant number, since it is smaller than the sum of its proper divisors (2806868049588).

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

1483051640832 is a wasteful number, since it uses less digits than its factorization.

1483051640832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123898 (or 123875 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1483051640832 in words is "one trillion, four hundred eighty-three billion, fifty-one million, six hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 653 768 1024 1152 1306 1536 1959 2048 2304 2612 3072 3918 4608 5224 5877 6144 7836 9216 10448 11754 15672 18432 20896 23508 31344 41792 47016 62688 83584 94032 123217 125376 167168 188064 246434 250752 334336 369651 376128 492868 501504 668672 739302 752256 985736 1003008 1108953 1337344 1478604 1504512 1971472 2006016 2217906 2957208 3009024 3942944 4012032 4435812 5914416 6018048 7885888 8871624 11828832 12036096 15771776 17743248 23657664 31543552 35486496 47315328 63087104 70972992 80460701 94630656 126174208 141945984 160921402 189261312 241382103 252348416 283891968 321842804 378522624 482764206 567783936 643685608 724146309 757045248 965528412 1135567872 1287371216 1448292618 1931056824 2271135744 2574742432 2896585236 3862113648 5149484864 5793170472 7724227296 10298969728 11586340944 15448454592 20597939456 23172681888 30896909184 41195878912 46345363776 61793818368 82391757824 92690727552 123587636736 164783515648 185381455104 247175273472 370762910208 494350546944 741525820416 1483051640832