Search a number
-
+
3812745915648 = 28321799244903
BaseRepresentation
bin110111011110111001010…
…111011010110100000000
3111111111100211002121200200
4313132321113122310000
5444432000423300043
612035315025045200
7542314253361045
oct67367127326400
914444324077620
103812745915648
11123aa8174255a
12516b28a86800
132187043387a7
14d2775d671cc
15692a19e87d3
hex377b95dad00

3812745915648 has 108 divisors (see below), whose sum is σ = 11054501508960. Its totient is φ = 1263815083008.

The previous prime is 3812745915623. The next prime is 3812745915689. The reversal of 3812745915648 is 8465195472183.

It is a happy number.

3812745915648 is a `hidden beast` number, since 3 + 8 + 1 + 27 + 45 + 9 + 1 + 564 + 8 = 666.

It is a super-3 number, since 3×38127459156483 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4210036 + ... + 5034867.

Almost surely, 23812745915648 is an apocalyptic number.

It is an amenable number.

3812745915648 is an abundant number, since it is smaller than the sum of its proper divisors (7241755593312).

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

3812745915648 is a wasteful number, since it uses less digits than its factorization.

3812745915648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9245104 (or 9245087 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 3812745915648 in words is "three trillion, eight hundred twelve billion, seven hundred forty-five million, nine hundred fifteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 179 192 256 288 358 384 537 576 716 768 1074 1152 1432 1611 2148 2304 2864 3222 4296 5728 6444 8592 11456 12888 17184 22912 25776 34368 45824 51552 68736 103104 137472 206208 412416 9244903 18489806 27734709 36979612 55469418 73959224 83204127 110938836 147918448 166408254 221877672 295836896 332816508 443755344 591673792 665633016 887510688 1183347584 1331266032 1654837637 1775021376 2366695168 2662532064 3309675274 3550042752 4964512911 5325064128 6619350548 7100085504 9929025822 10650128256 13238701096 14893538733 19858051644 21300256512 26477402192 29787077466 39716103288 52954804384 59574154932 79432206576 105909608768 119148309864 158864413152 211819217536 238296619728 317728826304 423638435072 476593239456 635457652608 953186478912 1270915305216 1906372957824 3812745915648