Search a number
-
+
10436486000000 = 27565218243
BaseRepresentation
bin1001011111011110111100…
…0010100110110110000000
31100221201101122122110112112
42113313233002212312000
52331442410404000000
634110242214514452
72125003565210204
oct227675702466600
940851348573475
1010436486000000
1133640a82a5225
1212067b2065a28
135a920581a378
142811b2cd8b04
15131724a9d235
hex97def0a6d80

10436486000000 has 112 divisors (see below), whose sum is σ = 25988968508820. Its totient is φ = 4174593600000.

The previous prime is 10436485999981. The next prime is 10436486000011. The reversal of 10436486000000 is 68463401.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 609122 + ... + 4609121.

Almost surely, 210436486000000 is an apocalyptic number.

10436486000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10436486000000 is an abundant number, since it is smaller than the sum of its proper divisors (15552482508820).

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

10436486000000 is an frugal number, since it uses more digits than its factorization.

10436486000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5218287 (or 5218250 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 10436486000000 in words is "ten trillion, four hundred thirty-six billion, four hundred eighty-six million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 2000000 5218243 10436486 20872972 26091215 41745944 52182430 83491888 104364860 130456075 166983776 208729720 260912150 333967552 417459440 521824300 652280375 667935104 834918880 1043648600 1304560750 1669837760 2087297200 2609121500 3261401875 3339675520 4174594400 5218243000 6522803750 8349188800 10436486000 13045607500 16307009375 16698377600 20872972000 26091215000 32614018750 41745944000 52182430000 65228037500 81535046875 83491888000 104364860000 130456075000 163070093750 208729720000 260912150000 326140187500 417459440000 521824300000 652280375000 1043648600000 1304560750000 2087297200000 2609121500000 5218243000000 10436486000000