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284298061248 = 2634131418637
BaseRepresentation
bin1000010001100010111…
…11000010010111000000
31000011211012221220010000
410020301133002113000
514124220300424443
6334334342040000
726353112435265
oct4106137022700
91004735856100
10284298061248
11aa62a931313
1247122a19000
1320a69a44ba6
14da8d9db26c
1575dde428d3
hex42317c25c0

284298061248 has 140 divisors (see below), whose sum is σ = 849183739272. Its totient is φ = 94042391040.

The previous prime is 284298061241. The next prime is 284298061253. The reversal of 284298061248 is 842160892482.

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

It is a junction number, because it is equal to n+sod(n) for n = 284298061194 and 284298061203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284298061241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 469786 + ... + 888422.

Almost surely, 2284298061248 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 284298061248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424591869636).

284298061248 is an abundant number, since it is smaller than the sum of its proper divisors (564885678024).

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

284298061248 is a wasteful number, since it uses less digits than its factorization.

284298061248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418792 (or 418773 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 284298061248 in words is "two hundred eighty-four billion, two hundred ninety-eight million, sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 131 144 162 192 216 262 288 324 393 432 524 576 648 786 864 1048 1179 1296 1572 1728 2096 2358 2592 3144 3537 4192 4716 5184 6288 7074 8384 9432 10611 12576 14148 18864 21222 25152 28296 37728 42444 56592 75456 84888 113184 169776 226368 339552 418637 679104 837274 1255911 1674548 2511822 3349096 3767733 5023644 6698192 7535466 10047288 11303199 13396384 15070932 20094576 22606398 26792768 30141864 33909597 40189152 45212796 54841447 60283728 67819194 80378304 90425592 109682894 120567456 135638388 164524341 180851184 219365788 241134912 271276776 329048682 361702368 438731576 493573023 542553552 658097364 723404736 877463152 987146046 1085107104 1316194728 1480719069 1754926304 1974292092 2170214208 2632389456 2961438138 3509852608 3948584184 4442157207 5264778912 5922876276 7897168368 8884314414 10529557824 11845752552 15794336736 17768628828 23691505104 31588673472 35537257656 47383010208 71074515312 94766020416 142149030624 284298061248