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20013656320 = 28572977023
BaseRepresentation
bin10010101000111010…
…000010100100000000
31220122210020002012101
4102220322002210000
5311441444000240
613105534040144
71305646162150
oct225072024400
956583202171
1020013656320
118540207239
123a66649054
131b6c4797b8
14d7c03c760
157c206739a
hex4a8e82900

20013656320 has 144 divisors (see below), whose sum is σ = 56677340160. Its totient is φ = 6625124352.

The previous prime is 20013656303. The next prime is 20013656323. The reversal of 20013656320 is 2365631002.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (20013656323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221329 + ... + 298351.

It is an arithmetic number, because the mean of its divisors is an integer number (393592640).

Almost surely, 220013656320 is an apocalyptic number.

20013656320 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 20013656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28338670080).

20013656320 is an abundant number, since it is smaller than the sum of its proper divisors (36663683840).

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

20013656320 is an equidigital number, since it uses as much as digits as its factorization.

20013656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77080 (or 77066 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The spelling of 20013656320 in words is "twenty billion, thirteen million, six hundred fifty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 128 140 145 160 203 224 232 256 280 290 320 406 448 464 560 580 640 812 896 928 1015 1120 1160 1280 1624 1792 1856 2030 2240 2320 3248 3712 4060 4480 4640 6496 7424 8120 8960 9280 12992 16240 18560 25984 32480 37120 51968 64960 77023 129920 154046 259840 308092 385115 539161 616184 770230 1078322 1232368 1540460 2156644 2233667 2464736 2695805 3080920 4313288 4467334 4929472 5391610 6161840 8626576 8934668 9858944 10783220 11168335 12323680 15635669 17253152 17869336 19717888 21566440 22336670 24647360 31271338 34506304 35738672 43132880 44673340 49294720 62542676 69012608 71477344 78178345 86265760 89346680 98589440 125085352 138025216 142954688 156356690 172531520 178693360 250170704 285909376 312713380 345063040 357386720 500341408 571818752 625426760 690126080 714773440 1000682816 1250853520 1429546880 2001365632 2501707040 2859093760 4002731264 5003414080 10006828160 20013656320