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56428253184 = 212313933037
BaseRepresentation
bin110100100011011000…
…101101000000000000
312101122120201021020010
4310203120231000000
51411031113100214
641531153144520
74035226144452
oct644330550000
9171576637203
1056428253184
1121a27306896
12ab2985b140
13542378cc34
142a3437a2d2
151703dc2659
hexd2362d000

56428253184 has 104 divisors (see below), whose sum is σ = 151543984480. Its totient is φ = 18673532928.

The previous prime is 56428253179. The next prime is 56428253207. The reversal of 56428253184 is 48135282465.

It is a super-2 number, since 2×564282531842 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1691514 + ... + 1724550.

Almost surely, 256428253184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56428253184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75771992240).

56428253184 is an abundant number, since it is smaller than the sum of its proper divisors (95115731296).

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

56428253184 is a wasteful number, since it uses less digits than its factorization.

56428253184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33203 (or 33181 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 48.

The spelling of 56428253184 in words is "fifty-six billion, four hundred twenty-eight million, two hundred fifty-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 512 556 768 834 1024 1112 1536 1668 2048 2224 3072 3336 4096 4448 6144 6672 8896 12288 13344 17792 26688 33037 35584 53376 66074 71168 99111 106752 132148 142336 198222 213504 264296 284672 396444 427008 528592 569344 792888 854016 1057184 1585776 1708032 2114368 3171552 4228736 4592143 6343104 8457472 9184286 12686208 13776429 16914944 18368572 25372416 27552858 33829888 36737144 50744832 55105716 67659776 73474288 101489664 110211432 135319552 146948576 202979328 220422864 293897152 405958656 440845728 587794304 881691456 1175588608 1763382912 2351177216 3526765824 4702354432 7053531648 9404708864 14107063296 18809417728 28214126592 56428253184