Search a number
-
+
1117482323380 = 2252912491542589
BaseRepresentation
bin10000010000101111001…
…000110000110110110100
310221211102021010210221021
4100100233020300312310
5121302100433322010
62213210404230524
7143510153011243
oct20205710606664
93854367123837
101117482323380
113a0a15703335
121606aa69b444
13814bb9a4a17
143c12d25a95a
151e10569d8da
hex1042f230db4

1117482323380 has 48 divisors (see below), whose sum is σ = 2429579250000. Its totient is φ = 431233560576.

The previous prime is 1117482323371. The next prime is 1117482323383. The reversal of 1117482323380 is 833232847111.

It can be written as a sum of positive squares in 8 ways, for example, as 87902762256 + 1029579561124 = 296484^2 + 1014682^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117482323383) by changing a digit.

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, 46875 + ... + 1495714.

It is an arithmetic number, because the mean of its divisors is an integer number (50616234375).

Almost surely, 21117482323380 is an apocalyptic number.

1117482323380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1117482323380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214789625000).

1117482323380 is an abundant number, since it is smaller than the sum of its proper divisors (1312096926620).

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

1117482323380 is a wasteful number, since it uses less digits than its factorization.

1117482323380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543876 (or 1543874 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 1117482323380 in words is "one trillion, one hundred seventeen billion, four hundred eighty-two million, three hundred twenty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1249 2498 4996 6245 12490 24980 36221 72442 144884 181105 362210 724420 1542589 3085178 6170356 7712945 15425890 30851780 44735081 89470162 178940324 223675405 447350810 894701620 1926693661 3853387322 7706774644 9633468305 19266936610 38533873220 55874116169 111748232338 223496464676 279370580845 558741161690 1117482323380