Search a number
-
+
26307805630000 = 24543737053031
BaseRepresentation
bin1011111101101010000110…
…11010001100111000110000
310110011000001012121011200111
411332311003122030320300
511422011341220130000
6131541350012031104
75353450643150266
oct576650332147060
9113130035534614
1026307805630000
118423094487074
122b4a766a62494
13118aa7a64c9bb
1466d439adc436
153094d68d1cba
hex17ed4368ce30

26307805630000 has 100 divisors (see below), whose sum is σ = 63864598199248. Its totient is φ = 10494908640000.

The previous prime is 26307805629953. The next prime is 26307805630003. The reversal of 26307805630000 is 3650870362.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (26307805630003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 203485 + ... + 7256515.

Almost surely, 226307805630000 is an apocalyptic number.

26307805630000 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 26307805630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31932299099624).

26307805630000 is an abundant number, since it is smaller than the sum of its proper divisors (37556792569248).

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

26307805630000 is an equidigital number, since it uses as much as digits as its factorization.

26307805630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7053432 (or 7053411 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 26307805630000 in words is "twenty-six trillion, three hundred seven billion, eight hundred five million, six hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 373 400 500 625 746 1000 1250 1492 1865 2000 2500 2984 3730 5000 5968 7460 9325 10000 14920 18650 29840 37300 46625 74600 93250 149200 186500 233125 373000 466250 746000 932500 1865000 3730000 7053031 14106062 28212124 35265155 56424248 70530310 112848496 141060620 176325775 282121240 352651550 564242480 705303100 881628875 1410606200 1763257750 2630780563 2821212400 3526515500 4408144375 5261561126 7053031000 8816288750 10523122252 13153902815 14106062000 17632577500 21046244504 26307805630 35265155000 42092489008 52615611260 65769514075 70530310000 105231222520 131539028150 210462445040 263078056300 328847570375 526156112600 657695140750 1052312225200 1315390281500 1644237851875 2630780563000 3288475703750 5261561126000 6576951407500 13153902815000 26307805630000