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23813107840 = 275671972819
BaseRepresentation
bin10110001011010111…
…110011000010000000
32021110120120012212001
4112023113303002000
5342232123422330
614534541313344
71502053035244
oct261327630200
967416505761
1023813107840
11a10a973415
124746b65854
132326681372
14121c8aa424
159458c59ca
hex58b5f3080

23813107840 has 128 divisors (see below), whose sum is σ = 58091774400. Its totient is φ = 9332133888.

The previous prime is 23813107807. The next prime is 23813107847. The reversal of 23813107840 is 4870131832.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 23813107840.

It is not an unprimeable number, because it can be changed into a prime (23813107847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8445951 + ... + 8448769.

Almost surely, 223813107840 is an apocalyptic number.

23813107840 is a gapful number since it is divisible by the number (20) 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 23813107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29045887200).

23813107840 is an abundant number, since it is smaller than the sum of its proper divisors (34278666560).

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

23813107840 is a wasteful number, since it uses less digits than its factorization.

23813107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 23813107840 in words is "twenty-three billion, eight hundred thirteen million, one hundred seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 197 268 320 335 394 536 640 670 788 985 1072 1340 1576 1970 2144 2680 2819 3152 3940 4288 5360 5638 6304 7880 8576 10720 11276 12608 13199 14095 15760 21440 22552 25216 26398 28190 31520 42880 45104 52796 56380 63040 65995 90208 105592 112760 126080 131990 180416 188873 211184 225520 263980 360832 377746 422368 451040 527960 555343 755492 844736 902080 944365 1055920 1110686 1510984 1689472 1804160 1888730 2111840 2221372 2776715 3021968 3777460 4223680 4442744 5553430 6043936 7554920 8447360 8885488 11106860 12087872 15109840 17770976 22213720 24175744 30219680 35541952 37207981 44427440 60439360 71083904 74415962 88854880 120878720 148831924 177709760 186039905 297663848 355419520 372079810 595327696 744159620 1190655392 1488319240 2381310784 2976638480 4762621568 5953276960 11906553920 23813107840