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401091111552 = 27318112774519
BaseRepresentation
bin1011101011000101110…
…01001010101010000000
31102100021201200120122210
411311202321022222000
523032413311032202
6504131514302120
740656261124155
oct5654271125200
91370251616583
10401091111552
1114511352668a
1265898727940
132ba906c9391
14155ad06a22c
15a6775c5c6c
hex5d62e4aa80

401091111552 has 128 divisors (see below), whose sum is σ = 1072360598400. Its totient is φ = 132824862720.

The previous prime is 401091111541. The next prime is 401091111559. The reversal of 401091111552 is 255111190104.

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

It is not an unprimeable number, because it can be changed into a prime (401091111559) 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, 88754349 + ... + 88758867.

It is an arithmetic number, because the mean of its divisors is an integer number (8377817175).

Almost surely, 2401091111552 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 401091111552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536180299200).

401091111552 is an abundant number, since it is smaller than the sum of its proper divisors (671269486848).

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

401091111552 is a wasteful number, since it uses less digits than its factorization.

401091111552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 30.

The spelling of 401091111552 in words is "four hundred one billion, ninety-one million, one hundred eleven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 362 384 543 724 1086 1277 1448 2172 2554 2896 3831 4344 4519 5108 5792 7662 8688 9038 10216 11584 13557 15324 17376 18076 20432 23168 27114 30648 34752 36152 40864 54228 61296 69504 72304 81728 108456 122592 144608 163456 216912 231137 245184 289216 433824 462274 490368 578432 693411 817939 867648 924548 1386822 1635878 1735296 1849096 2453817 2773644 3271756 3698192 4907634 5547288 5770763 6543512 7396384 9815268 11094576 11541526 13087024 14792768 17312289 19630536 22189152 23083052 26174048 29585536 34624578 39261072 44378304 46166104 52348096 69249156 78522144 88756608 92332208 104696192 138498312 157044288 184664416 276996624 314088576 369328832 553993248 738657664 1044508103 1107986496 2089016206 2215972992 3133524309 4178032412 6267048618 8356064824 12534097236 16712129648 25068194472 33424259296 50136388944 66848518592 100272777888 133697037184 200545555776 401091111552