Search a number
-
+
13334160650408 = 23131371332770223
BaseRepresentation
bin1100001000001001100111…
…1010001011000010101000
31202012201210120201101202222
43002002121322023002220
53221431330111303113
644205343455013212
72544234634305023
oct302023172130250
952181716641688
1013334160650408
114280a93080284
1215b42bb50a208
13759537b5b320
1434153bdc41ba
15181cbad79e08
hexc2099e8b0a8

13334160650408 has 64 divisors (see below), whose sum is σ = 27123699778560. Its totient is φ = 6108761212416.

The previous prime is 13334160650357. The next prime is 13334160650441. The reversal of 13334160650408 is 80405606143331.

It is a Cunningham number, because it is equal to 36515972-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189847985 + ... + 189918207.

It is an arithmetic number, because the mean of its divisors is an integer number (423807809040).

Almost surely, 213334160650408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13334160650408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561849889280).

13334160650408 is an abundant number, since it is smaller than the sum of its proper divisors (13789539128152).

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

13334160650408 is a wasteful number, since it uses less digits than its factorization.

13334160650408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83706 (or 83702 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

Adding to 13334160650408 its reverse (80405606143331), we get a palindrome (93739766793739).

The spelling of 13334160650408 in words is "thirteen trillion, three hundred thirty-four billion, one hundred sixty million, six hundred fifty thousand, four hundred eight".

Divisors: 1 2 4 8 13 26 52 104 137 274 548 1096 1781 3562 7124 13327 14248 26654 53308 70223 106616 140446 173251 280892 346502 561784 693004 912899 1386008 1825798 1825799 3651596 3651598 7303192 7303196 9620551 14606392 19241102 23735387 38482204 47470774 76964408 94941548 125067163 189883096 250134326 500268652 935861921 1000537304 1871723842 3743447684 7486895368 12166204973 24332409946 48664819892 97329639784 128213083177 256426166354 512852332708 1025704665416 1666770081301 3333540162602 6667080325204 13334160650408