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4295851286112 = 253239778747741
BaseRepresentation
bin111110100000110100101…
…100001001111001100000
3120012200100021002020010100
4332200310230021321200
51030340400412123422
613045253053502400
7622236125306631
oct76406454117140
916180307066110
104295851286112
111406951070801
12594693aa1a00
13252135267249
1410bcc5499888
1576b2931a7ac
hex3e834b09e60

4295851286112 has 144 divisors (see below), whose sum is σ = 12262917309552. Its totient is φ = 1426498698240.

The previous prime is 4295851286107. The next prime is 4295851286149. The reversal of 4295851286112 is 2116821585924.

It is a happy number.

4295851286112 is a `hidden beast` number, since 4 + 2 + 9 + 5 + 8 + 5 + 12 + 8 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89958562 + ... + 90006302.

It is an arithmetic number, because the mean of its divisors is an integer number (85159147983).

Almost surely, 24295851286112 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 4295851286112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6131458654776).

4295851286112 is an abundant number, since it is smaller than the sum of its proper divisors (7967066023440).

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

4295851286112 is a wasteful number, since it uses less digits than its factorization.

4295851286112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48941 (or 48930 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The spelling of 4295851286112 in words is "four trillion, two hundred ninety-five billion, eight hundred fifty-one million, two hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 397 787 794 1191 1574 1588 2361 2382 3148 3176 3573 4722 4764 6296 6352 7083 7146 9444 9528 12592 12704 14166 14292 18888 19056 25184 28332 28584 37776 38112 47741 56664 57168 75552 95482 113328 114336 143223 190964 226656 286446 312439 381928 429669 572892 624878 763856 859338 937317 1145784 1249756 1527712 1718676 1874634 2291568 2499512 2811951 3437352 3749268 4583136 4999024 5623902 6874704 7498536 9998048 11247804 13749408 14997072 18953177 22495608 29994144 37572167 37906354 44991216 56859531 75144334 75812708 89982432 112716501 113719062 150288668 151625416 170578593 225433002 227438124 300577336 303250832 338149503 341157186 450866004 454876248 601154672 606501664 676299006 682314372 901732008 909752496 1202309344 1352598012 1364628744 1803464016 1819504992 2705196024 2729257488 3606928032 5410392048 5458514976 10820784096 14916150299 29832300598 44748450897 59664601196 89496901794 119329202392 134245352691 178993803588 238658404784 268490705382 357987607176 477316809568 536981410764 715975214352 1073962821528 1431950428704 2147925643056 4295851286112