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20048216700 = 22352198274253
BaseRepresentation
bin10010101010111101…
…111000001001111100
31220202012020221010110
4102222331320021330
5312024320413300
613113210510020
71306546013241
oct225275701174
956665227113
1020048216700
118558771a36
123a76135310
131b7668a425
14d828775c8
157c50e2550
hex4aaf7827c

20048216700 has 144 divisors (see below), whose sum is σ = 61147336320. Its totient is φ = 5057498880.

The previous prime is 20048216689. The next prime is 20048216701. The reversal of 20048216700 is 761284002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20048216701) 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 47 ways as a sum of consecutive naturals, for example, 4711774 + ... + 4716026.

It is an arithmetic number, because the mean of its divisors is an integer number (424634280).

Almost surely, 220048216700 is an apocalyptic number.

20048216700 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 20048216700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30573668160).

20048216700 is an abundant number, since it is smaller than the sum of its proper divisors (41099119620).

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

20048216700 is a wasteful number, since it uses less digits than its factorization.

20048216700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5116 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 20048216700 in words is "twenty billion, forty-eight million, two hundred sixteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 827 950 1140 1425 1654 1900 2481 2850 3308 4135 4253 4962 5700 8270 8506 9924 12405 12759 15713 16540 17012 20675 21265 24810 25518 31426 41350 42530 47139 49620 51036 62025 62852 63795 78565 80807 82700 85060 94278 106325 124050 127590 157130 161614 188556 212650 235695 242421 248100 255180 314260 318975 323228 392825 404035 425300 471390 484842 637950 785650 808070 942780 969684 1178475 1212105 1275900 1571300 1616140 2020175 2356950 2424210 3517231 4040350 4713900 4848420 6060525 7034462 8080700 10551693 12121050 14068924 17586155 21103386 24242100 35172310 42206772 52758465 66827389 70344620 87930775 105516930 133654778 175861550 200482167 211033860 263792325 267309556 334136945 351723100 400964334 527584650 668273890 801928668 1002410835 1055169300 1336547780 1670684725 2004821670 3341369450 4009643340 5012054175 6682738900 10024108350 20048216700