Search a number
-
+
20376718200 = 23325212789137
BaseRepresentation
bin10010111110100011…
…000000101101111000
31221121002101112110200
4102332203000231320
5313212414440300
613205543442200
71320645150456
oct227643005570
957532345420
1020376718200
118707142a83
123b48156360
131bc9757107
14db43499d6
157e3d81200
hex4be8c0b78

20376718200 has 144 divisors (see below), whose sum is σ = 68971418880. Its totient is φ = 5390945280.

The previous prime is 20376718199. The next prime is 20376718223. The reversal of 20376718200 is 281767302.

It is a super-2 number, since 2×203767182002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 184032 + ... + 273168.

Almost surely, 220376718200 is an apocalyptic number.

20376718200 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 20376718200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34485709440).

20376718200 is an abundant number, since it is smaller than the sum of its proper divisors (48594700680).

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

20376718200 is a wasteful number, since it uses less digits than its factorization.

20376718200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89286 (or 89274 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 20376718200 in words is "twenty billion, three hundred seventy-six million, seven hundred eighteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 127 150 180 200 225 254 300 360 381 450 508 600 635 762 900 1016 1143 1270 1524 1800 1905 2286 2540 3048 3175 3810 4572 5080 5715 6350 7620 9144 9525 11430 12700 15240 19050 22860 25400 28575 38100 45720 57150 76200 89137 114300 178274 228600 267411 356548 445685 534822 713096 802233 891370 1069644 1337055 1604466 1782740 2139288 2228425 2674110 3208932 3565480 4011165 4456850 5348220 6417864 6685275 8022330 8913700 10696440 11320399 13370550 16044660 17827400 20055825 22640798 26741100 32089320 33961197 40111650 45281596 53482200 56601995 67922394 80223300 90563192 101883591 113203990 135844788 160446600 169805985 203767182 226407980 271689576 283009975 339611970 407534364 452815960 509417955 566019950 679223940 815068728 849029925 1018835910 1132039900 1358447880 1698059850 2037671820 2264079800 2547089775 3396119700 4075343640 5094179550 6792239400 10188359100 20376718200