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20045153300 = 2252377397331
BaseRepresentation
bin10010101010110010…
…001100010000010100
31220201222111021221012
4102222302030100110
5312023024401200
613113021111352
71306510664114
oct225262142024
956658437835
1020045153300
118556a6a3a7
123a750b8558
131b75b56c73
14d822bb044
157c4bd9a35
hex4aac8c414

20045153300 has 72 divisors (see below), whose sum is σ = 44740157280. Its totient is φ = 7789737600.

The previous prime is 20045153291. The next prime is 20045153309. The reversal of 20045153300 is 335154002.

It is an interprime number because it is at equal distance from previous prime (20045153291) and next prime (20045153309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20045153309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2730635 + ... + 2737965.

Almost surely, 220045153300 is an apocalyptic number.

20045153300 is a gapful number since it is divisible by the number (20) 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 20045153300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22370078640).

20045153300 is an abundant number, since it is smaller than the sum of its proper divisors (24695003980).

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

20045153300 is a wasteful number, since it uses less digits than its factorization.

20045153300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8121 (or 8114 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The spelling of 20045153300 in words is "twenty billion, forty-five million, one hundred fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 739 740 925 1478 1850 2956 3695 3700 7331 7390 14662 14780 18475 27343 29324 36655 36950 54686 73310 73900 109372 136715 146620 183275 271247 273430 366550 542494 546860 683575 733100 1084988 1356235 1367150 2712470 2734300 5417609 5424940 6781175 10835218 13562350 21670436 27088045 27124700 54176090 108352180 135440225 200451533 270880450 400903066 541760900 801806132 1002257665 2004515330 4009030660 5011288325 10022576650 20045153300