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20552182456 = 23131031939941
BaseRepresentation
bin10011001001000000…
…010110101010111000
31222001022120001011211
4103021000112222320
5314042324314311
613235212332504
71325205445201
oct231100265270
958038501154
1020552182456
118797197963
123b96a74134
131c26c00610
14dcd7825a8
15804490821
hex4c9016ab8

20552182456 has 64 divisors (see below), whose sum is σ = 42123856320. Its totient is φ = 9343918080.

The previous prime is 20552182451. The next prime is 20552182457. The reversal of 20552182456 is 65428125502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20552182451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2062446 + ... + 2072386.

It is an arithmetic number, because the mean of its divisors is an integer number (658185255).

Almost surely, 220552182456 is an apocalyptic number.

20552182456 is a gapful number since it is divisible by the number (26) 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 20552182456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21061928160).

20552182456 is an abundant number, since it is smaller than the sum of its proper divisors (21571673864).

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

20552182456 is a wasteful number, since it uses less digits than its factorization.

20552182456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10256 (or 10252 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

The spelling of 20552182456 in words is "twenty billion, five hundred fifty-two million, one hundred eighty-two thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 103 104 193 206 386 412 772 824 1339 1544 2509 2678 5018 5356 9941 10036 10712 19879 19882 20072 39758 39764 79516 79528 129233 159032 258427 258466 516854 516932 1023923 1033708 1033864 1918613 2047846 2067416 3837226 4095692 7674452 8191384 13310999 15348904 24941969 26621998 49883938 53243996 99767876 106487992 197617139 199535752 395234278 790468556 1580937112 2569022807 5138045614 10276091228 20552182456