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1213641337552 = 24761379468709
BaseRepresentation
bin10001101010010010101…
…010010010101011010000
311022000121202021212011121
4101222102222102223100
5124341014140300202
62325312241452024
7153453110105320
oct21522252225320
94260552255147
101213641337552
1142877a993986
12177266041014
138a5a47c9887
1442a5211b280
15218825c3537
hex11a92a92ad0

1213641337552 has 80 divisors (see below), whose sum is σ = 2738616284800. Its totient is φ = 510254277120.

The previous prime is 1213641337529. The next prime is 1213641337721. The reversal of 1213641337552 is 2557331463121.

It is a junction number, because it is equal to n+sod(n) for n = 1213641337499 and 1213641337508.

It is a congruent number.

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, 2354974 + ... + 2823682.

It is an arithmetic number, because the mean of its divisors is an integer number (34232703560).

Almost surely, 21213641337552 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 1213641337552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369308142400).

1213641337552 is an abundant number, since it is smaller than the sum of its proper divisors (1524974947248).

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

1213641337552 is a wasteful number, since it uses less digits than its factorization.

1213641337552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469164 (or 469158 counting only the distinct ones).

The product of its digits is 453600, while the sum is 43.

The spelling of 1213641337552 in words is "one trillion, two hundred thirteen billion, six hundred forty-one million, three hundred thirty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 244 379 427 488 758 854 976 1516 1708 2653 3032 3416 5306 6064 6832 10612 21224 23119 42448 46238 92476 161833 184952 323666 369904 468709 647332 937418 1294664 1874836 2589328 3280963 3749672 6561926 7499344 13123852 26247704 28591249 52495408 57182498 114364996 177640711 200138743 228729992 355281422 400277486 457459984 710562844 800554972 1243484977 1421125688 1601109944 2486969954 2842251376 3202219888 4973939908 9947879816 10836083371 19895759632 21672166742 43344333484 75852583597 86688666968 151705167194 173377333936 303410334388 606820668776 1213641337552