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13123722752 = 29773103487
BaseRepresentation
bin11000011100011110…
…00001111000000000
31020212121121012011122
430032033001320000
5203334133112002
610010130531412
7643134542240
oct141617017000
936777535148
1013123722752
115624aaa168
122663136b68
131311c0022a
148c6d73b20
1551c2406a2
hex30e3c1e00

13123722752 has 160 divisors (see below), whose sum is σ = 30736223232. Its totient is φ = 5482266624.

The previous prime is 13123722709. The next prime is 13123722797. The reversal of 13123722752 is 25722732131.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26947853 + ... + 26948339.

Almost surely, 213123722752 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 13123722752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15368111616).

13123722752 is an abundant number, since it is smaller than the sum of its proper divisors (17612500480).

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

13123722752 is an equidigital number, since it uses as much as digits as its factorization.

13123722752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 672 counting only the distinct ones).

The product of its digits is 35280, while the sum is 35.

The spelling of 13123722752 in words is "thirteen billion, one hundred twenty-three million, seven hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 103 112 128 146 206 224 256 292 412 448 487 511 512 584 721 824 896 974 1022 1168 1442 1648 1792 1948 2044 2336 2884 3296 3409 3584 3896 4088 4672 5768 6592 6818 7519 7792 8176 9344 11536 13184 13636 15038 15584 16352 18688 23072 26368 27272 30076 31168 32704 35551 37376 46144 50161 52633 52736 54544 60152 62336 65408 71102 92288 100322 105266 109088 120304 124672 130816 142204 184576 200644 210532 218176 240608 248857 249344 261632 284408 351127 369152 401288 421064 436352 481216 497714 568816 702254 802576 842128 872704 962432 995428 1137632 1404508 1605152 1684256 1745408 1924864 1990856 2275264 2809016 3210304 3368512 3661753 3849728 3981712 4550528 5618032 6420608 6737024 7323506 7963424 9101056 11236064 12841216 13474048 14647012 15926848 18202112 22472128 25632271 25682432 26948096 29294024 31853696 44944256 51264542 58588048 63707392 89888512 102529084 117176096 127414784 179777024 205058168 234352192 410116336 468704384 820232672 937408768 1640465344 1874817536 3280930688 6561861376 13123722752