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201108326272 = 277479619757
BaseRepresentation
bin1011101101001011111…
…1011000011110000000
3201020002120210111022121
42323102333120132000
511243332212420042
6232215441214024
720346436365640
oct2732277303600
9636076714277
10201108326272
1178320453127
1232b86931314
1315c6cb26939
149a3b38a520
155370902367
hex2ed2fd8780

201108326272 has 128 divisors (see below), whose sum is σ = 460184832000. Its totient is φ = 85756962816.

The previous prime is 201108326261. The next prime is 201108326281. The reversal of 201108326272 is 272623801102.

It is a happy number.

201108326272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265664518 + ... + 265665274.

It is an arithmetic number, because the mean of its divisors is an integer number (3595194000).

Almost surely, 2201108326272 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 201108326272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230092416000).

201108326272 is an abundant number, since it is smaller than the sum of its proper divisors (259076505728).

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

201108326272 is an equidigital number, since it uses as much as digits as its factorization.

201108326272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 201108326272 in words is "two hundred one billion, one hundred eight million, three hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 479 619 757 896 958 1238 1514 1916 2476 3028 3353 3832 4333 4952 5299 6056 6706 7664 8666 9904 10598 12112 13412 15328 17332 19808 21196 24224 26824 30656 34664 39616 42392 48448 53648 61312 69328 79232 84784 96896 107296 138656 169568 214592 277312 296501 339136 362603 429184 468583 554624 593002 678272 725206 937166 1186004 1450412 1874332 2075507 2372008 2538221 2900824 3280081 3748664 4151014 4744016 5076442 5801648 6560162 7497328 8302028 9488032 10152884 11603296 13120324 14994656 16604056 18976064 20305768 23206592 26240648 29989312 33208112 37952128 40611536 46413184 52481296 59978624 66416224 81223072 104962592 132832448 162446144 209925184 224451257 265664896 324892288 419850368 448902514 897805028 1571158799 1795610056 3142317598 3591220112 6284635196 7182440224 12569270392 14364880448 25138540784 28729760896 50277081568 100554163136 201108326272