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40851569920 = 28577957713
BaseRepresentation
bin100110000010111100…
…010111110100000000
310220110000102202211011
4212002330113310000
51132131000214140
630433354530304
72644224420640
oct460274276400
9126400382734
1040851569920
1116363712137
127b01136994
133b106202a5
141d9771c520
1510e1648cea
hex982f17d00

40851569920 has 144 divisors (see below), whose sum is σ = 113248719360. Its totient is φ = 13828718592.

The previous prime is 40851569903. The next prime is 40851569923. The reversal of 40851569920 is 2996515804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40851569923) 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, 678984 + ... + 736696.

It is an arithmetic number, because the mean of its divisors is an integer number (786449440).

Almost surely, 240851569920 is an apocalyptic number.

40851569920 is a gapful number since it is divisible by the number (40) 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 40851569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56624359680).

40851569920 is an abundant number, since it is smaller than the sum of its proper divisors (72397149440).

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

40851569920 is an equidigital number, since it uses as much as digits as its factorization.

40851569920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57820 (or 57806 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

The spelling of 40851569920 in words is "forty billion, eight hundred fifty-one million, five hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 79 80 112 128 140 158 160 224 256 280 316 320 395 448 553 560 632 640 790 896 1106 1120 1264 1280 1580 1792 2212 2240 2528 2765 3160 4424 4480 5056 5530 6320 8848 8960 10112 11060 12640 17696 20224 22120 25280 35392 44240 50560 57713 70784 88480 101120 115426 141568 176960 230852 288565 353920 403991 461704 577130 707840 807982 923408 1154260 1615964 1846816 2019955 2308520 3231928 3693632 4039910 4559327 4617040 6463856 7387264 8079820 9118654 9234080 12927712 14774528 16159640 18237308 18468160 22796635 25855424 31915289 32319280 36474616 36936320 45593270 51710848 63830578 64638560 72949232 73872640 91186540 103421696 127661156 129277120 145898464 159576445 182373080 255322312 258554240 291796928 319152890 364746160 510644624 517108480 583593856 638305780 729492320 1021289248 1167187712 1276611560 1458984640 2042578496 2553223120 2917969280 4085156992 5106446240 5835938560 8170313984 10212892480 20425784960 40851569920