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23828820736 = 28728272297
BaseRepresentation
bin10110001100010011…
…101111001100000000
32021111200010111220011
4112030103233030000
5342300134230421
614540302154304
71502333430400
oct261423571400
967450114804
1023828820736
11a118825786
124750282994
1323299c3336
1412209da800
15946e7b4e1
hex58c4ef300

23828820736 has 108 divisors (see below), whose sum is σ = 55421224488. Its totient is φ = 10195562496.

The previous prime is 23828820733. The next prime is 23828820787. The reversal of 23828820736 is 63702882832.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 23828820736.

It is not an unprimeable number, because it can be changed into a prime (23828820731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10372740 + ... + 10375036.

It is an arithmetic number, because the mean of its divisors is an integer number (513159486).

Almost surely, 223828820736 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 23828820736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27710612244).

23828820736 is an abundant number, since it is smaller than the sum of its proper divisors (31592403752).

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

23828820736 is an equidigital number, since it uses as much as digits as its factorization.

23828820736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 23828820736 in words is "twenty-three billion, eight hundred twenty-eight million, eight hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 827 896 1568 1654 1792 2297 3136 3308 4594 5789 6272 6616 9188 11578 12544 13232 16079 18376 23156 26464 32158 36752 40523 46312 52928 64316 73504 81046 92624 105856 112553 128632 147008 162092 185248 211712 225106 257264 294016 324184 370496 450212 514528 588032 648368 740992 900424 1029056 1296736 1481984 1800848 1899619 2058112 2593472 3601696 3799238 4116224 5186944 7203392 7598476 10373888 13297333 14406784 15196952 26594666 28813568 30393904 53189332 60787808 93081331 106378664 121575616 186162662 212757328 243151232 372325324 425514656 486302464 744650648 851029312 1489301296 1702058624 2978602592 3404117248 5957205184 11914410368 23828820736