Search a number
-
+
46881063688711 = 7192291317576451
BaseRepresentation
bin10101010100011010110010…
…01001011101101000000111
320010222210012221020100210111
422222031121021131220013
522121044404301014321
6243412510251533451
712606021314251630
oct1252153111355007
9203883187210714
1046881063688711
1113a351692a137a
125311a4545a287
132020b331b4b25
14b810ac774887
1556473da275e1
hex2aa35925da07

46881063688711 has 96 divisors (see below), whose sum is σ = 59030126369280. Its totient is φ = 36421703136000.

The previous prime is 46881063688687. The next prime is 46881063688721. The reversal of 46881063688711 is 11788636018864.

It is a de Polignac number, because none of the positive numbers 2k-46881063688711 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46881063688721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7267252036 + ... + 7267258486.

It is an arithmetic number, because the mean of its divisors is an integer number (614897149680).

Almost surely, 246881063688711 is an apocalyptic number.

46881063688711 is a deficient number, since it is larger than the sum of its proper divisors (12149062680569).

46881063688711 is a wasteful number, since it uses less digits than its factorization.

46881063688711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7413 (or 7394 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 67.

The spelling of 46881063688711 in words is "forty-six trillion, eight hundred eighty-one billion, sixty-three million, six hundred eighty-eight thousand, seven hundred eleven".

Divisors: 1 7 19 29 131 133 203 361 551 757 917 2489 2527 3799 3857 5299 6451 10469 14383 17423 21953 26593 45157 47291 72181 73283 99167 100681 122569 153671 187079 273277 331037 417107 505267 694169 845081 857983 1309553 1371439 1884173 1912939 2328811 2875843 2919749 3554501 4883407 5915567 7925033 9600073 13189211 16056539 16301677 20130901 24507349 24881507 34183849 35799287 54641017 55475231 67535519 92784733 112395773 141618803 171551443 250595009 305074241 382487119 465639631 472748633 639726317 649493131 991331621 1038179323 1762909927 2135519687 2690757257 3259477417 4478084219 7267255261 8847152989 12154800023 12340369489 18552063193 18835300799 51124387883 61930070923 85083600161 129864442351 230941200437 352489200667 357870715181 1616588403059 2467424404669 6697294812673 46881063688711