Search a number
-
+
12400363008 = 29331181547
BaseRepresentation
bin10111000110001111…
…01000011000000000
31012000012110201011000
423203013220120000
5200343443104013
65410250452000
7616202226555
oct134307503000
935005421130
1012400363008
1152937552a0
1224a0a34000
1312280a2407
14858c78a2c
154c89a6973
hex2e31e8600

12400363008 has 160 divisors (see below), whose sum is σ = 40043329920. Its totient is φ = 3757639680.

The previous prime is 12400362983. The next prime is 12400363049. The reversal of 12400363008 is 80036300421.

It is a happy number.

12400363008 is a `hidden beast` number, since 1 + 24 + 0 + 0 + 3 + 630 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 111291 + ... + 192837.

It is an arithmetic number, because the mean of its divisors is an integer number (250270812).

Almost surely, 212400363008 is an apocalyptic number.

12400363008 is a gapful number since it is divisible by the number (18) 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 12400363008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20021664960).

12400363008 is an abundant number, since it is smaller than the sum of its proper divisors (27642966912).

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

12400363008 is an equidigital number, since it uses as much as digits as its factorization.

12400363008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81585 (or 81563 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12400363008 its reverse (80036300421), we get a palindrome (92436663429).

The spelling of 12400363008 in words is "twelve billion, four hundred million, three hundred sixty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 864 1056 1152 1188 1408 1536 1584 1728 2112 2304 2376 2816 3168 3456 4224 4608 4752 5632 6336 6912 8448 9504 12672 13824 16896 19008 25344 38016 50688 76032 81547 152064 163094 244641 326188 489282 652376 733923 897017 978564 1304752 1467846 1794034 1957128 2201769 2609504 2691051 2935692 3588068 3914256 4403538 5219008 5382102 5871384 7176136 7828512 8073153 8807076 10438016 10764204 11742768 14352272 15657024 16146306 17614152 20876032 21528408 23485536 24219459 28704544 31314048 32292612 35228304 41752064 43056816 46971072 48438918 57409088 62628096 64585224 70456608 86113632 93942144 96877836 114818176 125256192 129170448 140913216 172227264 187884288 193755672 229636352 258340896 281826432 344454528 375768576 387511344 459272704 516681792 563652864 688909056 775022688 1033363584 1127305728 1377818112 1550045376 2066727168 3100090752 4133454336 6200181504 12400363008