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20399504800 = 2552292233943
BaseRepresentation
bin10010111111111001…
…111011110110100000
31221122200021012210211
4102333321323312200
5313234233123200
613212120103504
71321342633633
oct227771736640
957580235724
1020399504800
118718a96984
123b53904b94
131c013a49cc
14db739bc1a
157e5d82aba
hex4bfe7bda0

20399504800 has 144 divisors (see below), whose sum is σ = 51761687040. Its totient is φ = 7841111040.

The previous prime is 20399504789. The next prime is 20399504809. The reversal of 20399504800 is 840599302.

It is a happy number.

It is a super-2 number, since 2×203995048002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (20399504809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5171629 + ... + 5175571.

It is an arithmetic number, because the mean of its divisors is an integer number (359456160).

Almost surely, 220399504800 is an apocalyptic number.

20399504800 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 20399504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25880843520).

20399504800 is an abundant number, since it is smaller than the sum of its proper divisors (31362182240).

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

20399504800 is a wasteful number, since it uses less digits than its factorization.

20399504800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4215 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 20399504800 in words is "twenty billion, three hundred ninety-nine million, five hundred four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 145 160 200 223 232 290 400 446 464 580 725 800 892 928 1115 1160 1450 1784 2230 2320 2900 3568 3943 4460 4640 5575 5800 6467 7136 7886 8920 11150 11600 12934 15772 17840 19715 22300 23200 25868 31544 32335 35680 39430 44600 51736 63088 64670 78860 89200 98575 103472 114347 126176 129340 157720 161675 178400 197150 206944 228694 258680 315440 323350 394300 457388 517360 571735 630880 646700 788600 879289 914776 1034720 1143470 1293400 1577200 1758578 1829552 2286940 2586800 2858675 3154400 3517156 3659104 4396445 4573880 5173600 5717350 7034312 8792890 9147760 11434700 14068624 17585780 18295520 21982225 22869400 25499381 28137248 35171560 43964450 45738800 50998762 70343120 87928900 91477600 101997524 127496905 140686240 175857800 203995048 254993810 351715600 407990096 509987620 637484525 703431200 815980192 1019975240 1274969050 2039950480 2549938100 4079900960 5099876200 10199752400 20399504800