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13790924752 = 2411233792077
BaseRepresentation
bin11001101100000000…
…01100111111010000
31022121010001120020211
430312000030333100
5211220434043002
610200243213504
7665515632463
oct146600147720
938533046224
1013790924752
115937687980
12280a677294
1313ba1c7c07
1494b8112da
1555aad4dd7
hex33600cfd0

13790924752 has 80 divisors (see below), whose sum is σ = 31238750592. Its totient is φ = 5833935360.

The previous prime is 13790924747. The next prime is 13790924759. The reversal of 13790924752 is 25742909731.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13790924696 and 13790924705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13790924759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103738 + ... + 195814.

Almost surely, 213790924752 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 13790924752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15619375296).

13790924752 is an abundant number, since it is smaller than the sum of its proper divisors (17447825840).

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

13790924752 is a wasteful number, since it uses less digits than its factorization.

13790924752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92156 (or 92150 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

The spelling of 13790924752 in words is "thirteen billion, seven hundred ninety million, nine hundred twenty-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 37 44 46 74 88 92 148 176 184 253 296 368 407 506 592 814 851 1012 1628 1702 2024 3256 3404 4048 6512 6808 9361 13616 18722 37444 74888 92077 149776 184154 368308 736616 1012847 1473232 2025694 2117771 3406849 4051388 4235542 6813698 8102776 8471084 13627396 16205552 16942168 23295481 27254792 33884336 37475339 46590962 54509584 74950678 78357527 93181924 149901356 156715054 186363848 299802712 313430108 372727696 599605424 626860216 861932797 1253720432 1723865594 3447731188 6895462376 13790924752