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11356231156644 = 223111017971068761
BaseRepresentation
bin1010010101000001010000…
…0111111100001110100100
31111012122102021102102122210
42211100110013330032210
52442030030134003034
640052551445323420
72251313665101123
oct245202407741644
944178367372583
1011356231156644
1136891724824a0
121334ab6a06570
13644b70c33cca
142b39047c9aba
1514a6057a68e9
hexa54141fc3a4

11356231156644 has 96 divisors (see below), whose sum is σ = 29229631788672. Its totient is φ = 3402931840000.

The previous prime is 11356231156637. The next prime is 11356231156649. The reversal of 11356231156644 is 44665113265311.

It is a junction number, because it is equal to n+sod(n) for n = 11356231156593 and 11356231156602.

It is not an unprimeable number, because it can be changed into a prime (11356231156649) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10091224 + ... + 11159984.

It is an arithmetic number, because the mean of its divisors is an integer number (304475331132).

Almost surely, 211356231156644 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 11356231156644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14614815894336).

11356231156644 is an abundant number, since it is smaller than the sum of its proper divisors (17873400632028).

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

11356231156644 is a wasteful number, since it uses less digits than its factorization.

11356231156644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069677 (or 1069675 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The spelling of 11356231156644 in words is "eleven trillion, three hundred fifty-six billion, two hundred thirty-one million, one hundred fifty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 797 1111 1212 1594 2222 2391 3188 3333 4444 4782 6666 8767 9564 13332 17534 26301 35068 52602 80497 105204 160994 241491 321988 482982 885467 965964 1068761 1770934 2137522 2656401 3206283 3541868 4275044 5312802 6412566 10625604 11756371 12825132 23512742 35269113 47025484 70538226 107944861 141076452 215889722 323834583 431779444 647669166 851802517 1187393471 1295338332 1703605034 2374786942 2555407551 3407210068 3562180413 4749573884 5110815102 7124360826 9369827687 10221630204 14248721652 18739655374 28109483061 37479310748 56218966122 86032054217 112437932244 172064108434 258096162651 344128216868 516192325302 946352596387 1032384650604 1892705192774 2839057789161 3785410385548 5678115578322 11356231156644