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1349061595344 = 24351720410639
BaseRepresentation
bin10011101000011010010…
…101100101000011010000
311202222011102101201200000
4103220122111211003100
5134100334232022334
62511430023530000
7166316001233451
oct23503225450320
94688142351600
101349061595344
11480152111a01
12199559bb9900
139a2a6615128
144941b403128
152515b204299
hex13a1a5650d0

1349061595344 has 120 divisors (see below), whose sum is σ = 4145645911680. Its totient is φ = 423234989568.

The previous prime is 1349061595337. The next prime is 1349061595417. The reversal of 1349061595344 is 4435951609431.

1349061595344 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 0 + 6 + 1 + 595 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10139224 + ... + 10271415.

It is an arithmetic number, because the mean of its divisors is an integer number (34547049264).

Almost surely, 21349061595344 is an apocalyptic number.

It is an amenable number.

1349061595344 is an abundant number, since it is smaller than the sum of its proper divisors (2796584316336).

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

1349061595344 is a wasteful number, since it uses less digits than its factorization.

1349061595344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20410679 (or 20410661 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 1349061595344 in words is "one trillion, three hundred forty-nine billion, sixty-one million, five hundred ninety-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 306 324 408 432 459 486 612 648 816 918 972 1224 1296 1377 1836 1944 2448 2754 3672 3888 4131 5508 7344 8262 11016 16524 22032 33048 66096 20410639 40821278 61231917 81642556 122463834 163285112 183695751 244927668 326570224 346980863 367391502 489855336 551087253 693961726 734783004 979710672 1040942589 1102174506 1387923452 1469566008 1653261759 2081885178 2204349012 2775846904 2939132016 3122827767 3306523518 4163770356 4408698024 4959785277 5551693808 6245655534 6613047036 8327540712 8817396048 9368483301 9919570554 12491311068 13226094072 16655081424 18736966602 19839141108 24982622136 26452188144 28105449903 37473933204 39678282216 49965244272 56210899806 74947866408 79356564432 84316349709 112421799612 149895732816 168632699418 224843599224 337265398836 449687198448 674530797672 1349061595344