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28834653744 = 24321342136587
BaseRepresentation
bin11010110110101011…
…011110011000110000
32202102112111011211200
4122312223132120300
5433023132404434
621125122411200
72040356340621
oct326653363060
982375434750
1028834653744
1111257457156
125708800b00
132946b14bc0
141577779a48
15b3b686199
hex6b6ade630

28834653744 has 120 divisors (see below), whose sum is σ = 87113247312. Its totient is φ = 8850885120.

The previous prime is 28834653733. The next prime is 28834653781. The reversal of 28834653744 is 44735643882.

28834653744 is a `hidden beast` number, since 28 + 8 + 3 + 46 + 537 + 44 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 769819 + ... + 806405.

Almost surely, 228834653744 is an apocalyptic number.

28834653744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28834653744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43556623656).

28834653744 is an abundant number, since it is smaller than the sum of its proper divisors (58278593568).

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

28834653744 is a wasteful number, since it uses less digits than its factorization.

28834653744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37035 (or 37026 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 28834653744 in words is "twenty-eight billion, eight hundred thirty-four million, six hundred fifty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 421 468 624 842 936 1263 1684 1872 2526 3368 3789 5052 5473 6736 7578 10104 10946 15156 16419 20208 21892 30312 32838 36587 43784 49257 60624 65676 73174 87568 98514 109761 131352 146348 197028 219522 262704 292696 329283 394056 439044 475631 585392 658566 788112 878088 951262 1317132 1426893 1756176 1902524 2634264 2853786 3805048 4280679 5268528 5707572 7610096 8561358 11415144 15403127 17122716 22830288 30806254 34245432 46209381 61612508 68490864 92418762 123225016 138628143 184837524 200240651 246450032 277256286 369675048 400481302 554512572 600721953 739350096 800962604 1109025144 1201443906 1601925208 1802165859 2218050288 2402887812 3203850416 3604331718 4805775624 7208663436 9611551248 14417326872 28834653744