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20119302144 = 212321793049
BaseRepresentation
bin10010101111001101…
…000011000000000000
31220221011000110000200
4102233031003000000
5312201020132034
613124230245200
71311401150364
oct225715030000
956834013020
1020119302144
118594904537
123a95ab6800
131b88319016
14d8c09d2a4
157cb484a99
hex4af343000

20119302144 has 156 divisors (see below), whose sum is σ = 58459167000. Its totient is φ = 6666780672.

The previous prime is 20119302143. The next prime is 20119302199. The reversal of 20119302144 is 44120391102.

It is a happy number.

20119302144 is a `hidden beast` number, since 201 + 19 + 302 + 144 = 666.

It is not an unprimeable number, because it can be changed into a prime (20119302143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6597132 + ... + 6600180.

It is an arithmetic number, because the mean of its divisors is an integer number (374738250).

Almost surely, 220119302144 is an apocalyptic number.

20119302144 is a gapful number since it is divisible by the number (24) 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 20119302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29229583500).

20119302144 is an abundant number, since it is smaller than the sum of its proper divisors (38339864856).

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

20119302144 is a wasteful number, since it uses less digits than its factorization.

20119302144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 20119302144 its reverse (44120391102), we get a palindrome (64239693246).

The spelling of 20119302144 in words is "twenty billion, one hundred nineteen million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 179 192 256 288 358 384 512 537 576 716 768 1024 1074 1152 1432 1536 1611 2048 2148 2304 2864 3049 3072 3222 4096 4296 4608 5728 6098 6144 6444 8592 9147 9216 11456 12196 12288 12888 17184 18294 18432 22912 24392 25776 27441 34368 36588 36864 45824 48784 51552 54882 68736 73176 91648 97568 103104 109764 137472 146352 183296 195136 206208 219528 274944 292704 366592 390272 412416 439056 545771 549888 585408 733184 780544 824832 878112 1091542 1099776 1170816 1561088 1637313 1649664 1756224 2183084 2199552 2341632 3122176 3274626 3299328 3512448 4366168 4683264 4911939 6244352 6549252 6598656 7024896 8732336 9366528 9823878 12488704 13098504 14049792 17464672 18733056 19647756 26197008 28099584 34929344 37466112 39295512 52394016 56199168 69858688 78591024 104788032 112398336 139717376 157182048 209576064 279434752 314364096 419152128 558869504 628728192 838304256 1117739008 1257456384 1676608512 2235478016 2514912768 3353217024 5029825536 6706434048 10059651072 20119302144