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20055144120 = 23351117893723
BaseRepresentation
bin10010101011011000…
…010011011010111000
31220202200021212202120
4102223120103122320
5312033104102440
613114015201240
71306661624634
oct225330233270
956680255676
1020055144120
118561673680
123a78516220
131b77c445ab
14d8375bdc4
157c5a0edd0
hex4ab6136b8

20055144120 has 128 divisors (see below), whose sum is σ = 69495978240. Its totient is φ = 4575856640.

The previous prime is 20055144079. The next prime is 20055144133. The reversal of 20055144120 is 2144155002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424422 + ... + 469301.

It is an arithmetic number, because the mean of its divisors is an integer number (542937330).

Almost surely, 220055144120 is an apocalyptic number.

20055144120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20055144120 is an abundant number, since it is smaller than the sum of its proper divisors (49440834120).

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

20055144120 is a wasteful number, since it uses less digits than its factorization.

20055144120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893765 (or 893761 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 20055144120 its reverse (2144155002), we get a palindrome (22199299122).

The spelling of 20055144120 in words is "twenty billion, fifty-five million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440 893723 1787446 2681169 3574892 4468615 5362338 7149784 8937230 9830953 10724676 13405845 15193291 17874460 19661906 21449352 26811690 29492859 30386582 35748920 39323812 45579873 49154765 53623380 58985718 60773164 75966455 78647624 91159746 98309530 107246760 117971436 121546328 147464295 151932910 167126201 182319492 196619060 227899365 235942872 294928590 303865820 334252402 364638984 393238120 455798730 501378603 589857180 607731640 668504804 835631005 911597460 1002757206 1179714360 1337009608 1671262010 1823194920 2005514412 2506893015 3342524020 4011028824 5013786030 6685048040 10027572060 20055144120