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47755055055774 = 23112299883229507
BaseRepresentation
bin10101101101110110101110…
…00101111100001110011110
320021002100010220011222221110
422312323113011330032132
522224404323043241044
6245322211444042450
713026121532303163
oct1266732705741636
9207070126158843
1047755055055774
1114241894675300
1254332bb393426
132085389496cb1
14bb14dd85a06a
1557c342a476b9
hex2b6ed717c39e

47755055055774 has 96 divisors (see below), whose sum is σ = 108613724607360. Its totient is φ = 13970746278720.

The previous prime is 47755055055751. The next prime is 47755055055781.

47755055055774 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207961929 + ... + 208191435.

It is an arithmetic number, because the mean of its divisors is an integer number (1131392964660).

Almost surely, 247755055055774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47755055055774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54306862303680).

47755055055774 is an abundant number, since it is smaller than the sum of its proper divisors (60858669551586).

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

47755055055774 is a wasteful number, since it uses less digits than its factorization.

47755055055774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239446 (or 239435 counting only the distinct ones).

The product of its (nonzero) digits is 600250000, while the sum is 66.

The spelling of 47755055055774 in words is "forty-seven trillion, seven hundred fifty-five billion, fifty-five million, fifty-five thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 121 174 242 319 363 638 726 957 1914 3509 7018 9883 10527 19766 21054 29649 59298 108713 217426 229507 286607 326139 459014 573214 652278 688521 859821 1195843 1377042 1719642 2391686 2524577 3152677 3587529 5049154 6305354 6655703 7175058 7573731 9458031 13311406 15147462 18916062 19967109 27770347 34679447 39934218 55540694 69358894 73212733 83311041 104038341 146425466 166622082 208076682 219638199 439276398 805340063 1610680126 2268217681 2416020189 4536435362 4832040378 6804653043 13609306086 24950394491 49900788982 65778312749 74851183473 131556625498 149702366946 197334938247 274454339401 394669876494 548908678802 723561440239 823363018203 1447122880478 1646726036406 2170684320717 4341368641434 7959175842629 15918351685258 23877527527887 47755055055774