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20364374300 = 22523143227673
BaseRepresentation
bin10010111101110011…
…111011000100011100
31221120020011101211012
4102331303323010130
5313201234434200
613204423114352
71320435216434
oct227563730434
957506141735
1020364374300
118700181906
123b43ba29b8
131bc702472a
14db28552c4
157e2c43a35
hex4bdcfb11c

20364374300 has 144 divisors (see below), whose sum is σ = 46952328192. Its totient is φ = 7654348800.

The previous prime is 20364374299. The next prime is 20364374321. The reversal of 20364374300 is 347346302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30258764 + ... + 30259436.

Almost surely, 220364374300 is an apocalyptic number.

20364374300 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 20364374300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23476164096).

20364374300 is an abundant number, since it is smaller than the sum of its proper divisors (26587953892).

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

20364374300 is a wasteful number, since it uses less digits than its factorization.

20364374300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 32.

The spelling of 20364374300 in words is "twenty billion, three hundred sixty-four million, three hundred seventy-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 43 50 62 86 100 124 155 172 215 227 310 430 454 620 673 775 860 908 1075 1135 1333 1346 1550 2150 2270 2666 2692 3100 3365 4300 4540 5332 5675 6665 6730 7037 9761 11350 13330 13460 14074 16825 19522 20863 22700 26660 28148 28939 33325 33650 35185 39044 41726 48805 57878 66650 67300 70370 83452 97610 104315 115756 133300 140740 144695 152771 175925 195220 208630 244025 289390 302591 305542 351850 417260 488050 521575 578780 605182 611084 703700 723475 763855 897109 976100 1043150 1210364 1446950 1512955 1527710 1794218 2086300 2893900 3025910 3055420 3588436 3819275 4485545 4735901 6051820 6569153 7564775 7638550 8971090 9471802 13138306 15129550 15277100 17942180 18943604 22427725 23679505 26276612 30259100 32845765 44855450 47359010 65691530 89710900 94718020 118397525 131383060 164228825 203643743 236795050 328457650 407287486 473590100 656915300 814574972 1018218715 2036437430 4072874860 5091093575 10182187150 20364374300