Search a number
-
+
6933400011090 = 2325721572199549
BaseRepresentation
bin110010011100100111011…
…0110000100000101010010
3220112211022120022222220100
41210321032312010011102
51402044100400323330
622425054320353230
71313631054462300
oct144711666040522
926484276288810
106933400011090
1122334906099a3
1293b8a5775816
133b3a8070bb77
1419d814dd1270
15c0548849060
hex64e4ed84152

6933400011090 has 72 divisors (see below), whose sum is σ = 20969997597900. Its totient is φ = 1584777144384.

The previous prime is 6933400011071. The next prime is 6933400011107. The reversal of 6933400011090 is 901100043396.

It can be written as a sum of positive squares in 2 ways, for example, as 5777480442321 + 1155919568769 = 2403639^2 + 1075137^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 786095365 + ... + 786104184.

Almost surely, 26933400011090 is an apocalyptic number.

6933400011090 is an abundant number, since it is smaller than the sum of its proper divisors (14036597586810).

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

6933400011090 is a wasteful number, since it uses less digits than its factorization.

6933400011090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572199576 (or 1572199566 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 6933400011090 in words is "six trillion, nine hundred thirty-three billion, four hundred million, eleven thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 1572199549 3144399098 4716598647 7860997745 9433197294 11005396843 14149795941 15721995490 22010793686 23582993235 28299591882 33016190529 47165986470 55026984215 66032381058 70748979705 77037777901 99048571587 110053968430 141497959410 154075555802 165080952645 198097143174 231113333703 330161905290 385188889505 462226667406 495242857935 693340001109 770377779010 990485715870 1155566668515 1386680002218 2311133337030 3466700005545 6933400011090