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1373263668 = 2232723317643
BaseRepresentation
bin101000111011010…
…0101011100110100
310112201001000121100
41101312211130310
510303023414133
6344133450100
746013356110
oct12166453464
93481030540
101373263668
11645198357
12323aa0930
1318b67a16a
14d0552740
1580862e13
hex51da5734

1373263668 has 144 divisors (see below), whose sum is σ = 4273790976. Its totient is φ = 363147840.

The previous prime is 1373263649. The next prime is 1373263669. The reversal of 1373263668 is 8663623731.

1373263668 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 2 + 636 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1373263669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175855 + ... + 183497.

It is an arithmetic number, because the mean of its divisors is an integer number (29679104).

Almost surely, 21373263668 is an apocalyptic number.

1373263668 is a gapful number since it is divisible by the number (18) 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 1373263668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136895488).

1373263668 is an abundant number, since it is smaller than the sum of its proper divisors (2900527308).

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

1373263668 is a wasteful number, since it uses less digits than its factorization.

1373263668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7714 (or 7709 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 1373263668 is about 37057.5723435845. The cubic root of 1373263668 is about 1111.5217792985.

The spelling of 1373263668 in words is "one billion, three hundred seventy-three million, two hundred sixty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 31 36 42 46 62 63 69 84 92 93 124 126 138 161 186 207 217 252 276 279 322 372 414 434 483 558 644 651 713 828 868 966 1116 1302 1426 1449 1932 1953 2139 2604 2852 2898 3906 4278 4991 5796 6417 7643 7812 8556 9982 12834 14973 15286 19964 22929 25668 29946 30572 44919 45858 53501 59892 68787 89838 91716 107002 137574 160503 175789 179676 214004 236933 275148 321006 351578 473866 481509 527367 642012 703156 710799 947732 963018 1054734 1230523 1421598 1582101 1658531 1926036 2109468 2132397 2461046 2843196 3164202 3317062 3691569 4264794 4922092 4975593 5449459 6328404 6634124 7383138 8529588 9951186 10898918 11074707 14766276 14926779 16348377 19902372 21797836 22149414 29853558 32696754 38146213 44298828 49045131 59707116 65393508 76292426 98090262 114438639 152584852 196180524 228877278 343315917 457754556 686631834 1373263668