Search a number
-
+
8136630000 = 24325490407
BaseRepresentation
bin1111001001111101…
…10001111011110000
3210000001111122000200
413210332301323300
5113130434130000
63423220115200
7405430133232
oct74476617360
923001448020
108136630000
1134a5a08604
1216b0b35b00
139c8940585
145728b2252
153294d8500
hex1e4fb1ef0

8136630000 has 150 divisors (see below), whose sum is σ = 28455285144. Its totient is φ = 2169744000.

The previous prime is 8136629971. The next prime is 8136630011. The reversal of 8136630000 is 366318.

It is a tau number, because it is divible by the number of its divisors (150).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44797 + ... + 135203.

Almost surely, 28136630000 is an apocalyptic number.

8136630000 is a gapful number since it is divisible by the number (80) 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 8136630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14227642572).

8136630000 is an abundant number, since it is smaller than the sum of its proper divisors (20318655144).

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

8136630000 is a wasteful number, since it uses less digits than its factorization.

8136630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90441 (or 90417 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 8136630000 is about 90203.2704506882. The cubic root of 8136630000 is about 2011.3216228286.

Adding to 8136630000 its reverse (366318), we get a palindrome (8136996318).

The spelling of 8136630000 in words is "eight billion, one hundred thirty-six million, six hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 90407 180814 271221 361628 452035 542442 723256 813663 904070 1084884 1356105 1446512 1627326 1808140 2169768 2260175 2712210 3254652 3616280 4068315 4339536 4520350 5424420 6509304 6780525 7232560 8136630 9040700 10848840 11300875 13018608 13561050 16273260 18081400 20341575 21697680 22601750 27122100 32546520 33902625 36162800 40683150 45203500 54244200 56504375 65093040 67805250 81366300 90407000 101707875 108488400 113008750 135610500 162732600 169513125 180814000 203415750 226017500 271221000 325465200 339026250 406831500 452035000 508539375 542442000 678052500 813663000 904070000 1017078750 1356105000 1627326000 2034157500 2712210000 4068315000 8136630000