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23465631540 = 223513149201907
BaseRepresentation
bin10101110110101010…
…010001111100110100
32020120100201120222110
4111312222101330310
5341024200202130
614440245531020
71460333401641
oct256652217464
966510646873
1023465631540
119a5181231a
12466a713a70
13229c69caa0
1411c8698dc8
15925139ab0
hex576a91f34

23465631540 has 96 divisors (see below), whose sum is σ = 71233142400. Its totient is φ = 5737360896.

The previous prime is 23465631529. The next prime is 23465631547. The reversal of 23465631540 is 4513656432.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23465631547) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15267 + ... + 217173.

It is an arithmetic number, because the mean of its divisors is an integer number (742011900).

Almost surely, 223465631540 is an apocalyptic number.

23465631540 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 23465631540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35616571200).

23465631540 is an abundant number, since it is smaller than the sum of its proper divisors (47767510860).

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

23465631540 is a wasteful number, since it uses less digits than its factorization.

23465631540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202081 (or 202079 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 23465631540 in words is "twenty-three billion, four hundred sixty-five million, six hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 149 156 195 260 298 390 447 596 745 780 894 1490 1788 1937 2235 2980 3874 4470 5811 7748 8940 9685 11622 19370 23244 29055 38740 58110 116220 201907 403814 605721 807628 1009535 1211442 2019070 2422884 2624791 3028605 4038140 5249582 6057210 7874373 10499164 12114420 13123955 15748746 26247910 30084143 31497492 39371865 52495820 60168286 78743730 90252429 120336572 150420715 157487460 180504858 300841430 361009716 391093859 451262145 601682860 782187718 902524290 1173281577 1564375436 1805048580 1955469295 2346563154 3910938590 4693126308 5866407885 7821877180 11732815770 23465631540