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23799849984 = 2103216072
BaseRepresentation
bin10110001010100101…
…001110010000000000
32021102122121122111100
4112022211032100000
5342220230144414
614533345214400
71501532246511
oct261245162000
967378548440
1023799849984
11a103438609
124742631400
1323239bb991
14121ac18a08
15944657609
hex58a94e400

23799849984 has 99 divisors (see below), whose sum is σ = 68764340827. Its totient is φ = 7928346624.

The previous prime is 23799849973. The next prime is 23799850031. The reversal of 23799849984 is 48994899732.

The square root of 23799849984 is 154272.

It is a perfect power (a square), and thus also a powerful number.

23799849984 is a `hidden beast` number, since 2 + 379 + 98 + 4 + 99 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14809309 + ... + 14810915.

Almost surely, 223799849984 is an apocalyptic number.

23799849984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

23799849984 is the 154272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23799849984

23799849984 is an abundant number, since it is smaller than the sum of its proper divisors (44964490843).

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

23799849984 is an frugal number, since it uses more digits than its factorization.

23799849984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240 (or 1612 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 23799849984 in words is "twenty-three billion, seven hundred ninety-nine million, eight hundred forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1607 2304 3072 3214 4608 4821 6428 9216 9642 12856 14463 19284 25712 28926 38568 51424 57852 77136 102848 115704 154272 205696 231408 308544 411392 462816 617088 822784 925632 1234176 1645568 1851264 2468352 2582449 3702528 4936704 5164898 7405056 7747347 10329796 14810112 15494694 20659592 23242041 30989388 41319184 46484082 61978776 82638368 92968164 123957552 165276736 185936328 247915104 330553472 371872656 495830208 661106944 743745312 991660416 1322213888 1487490624 1983320832 2644427776 2974981248 3966641664 5949962496 7933283328 11899924992 23799849984