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20242251360 = 25325119311783
BaseRepresentation
bin10010110110100010…
…000011111001100000
31221020201100220122100
4102312202003321200
5312424004020420
613144341410400
71314423204042
oct226642037140
957221326570
1020242251360
118648250061
123b0b109a00
131ba7936436
14da0545a92
157d716e190
hex4b6883e60

20242251360 has 144 divisors (see below), whose sum is σ = 69140451744. Its totient is φ = 5392951296.

The previous prime is 20242251349. The next prime is 20242251371. The reversal of 20242251360 is 6315224202.

It is a happy number.

20242251360 is a `hidden beast` number, since 202 + 422 + 5 + 1 + 36 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20242251349) and next prime (20242251371).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1712029 + ... + 1723811.

It is an arithmetic number, because the mean of its divisors is an integer number (480142026).

Almost surely, 220242251360 is an apocalyptic number.

20242251360 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 20242251360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34570225872).

20242251360 is an abundant number, since it is smaller than the sum of its proper divisors (48898200384).

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

20242251360 is a wasteful number, since it uses less digits than its factorization.

20242251360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12997 (or 12986 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20242251360 its reverse (6315224202), we get a palindrome (26557475562).

The spelling of 20242251360 in words is "twenty billion, two hundred forty-two million, two hundred fifty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1193 1440 2386 3579 4772 5965 7158 9544 10737 11783 11930 14316 17895 19088 21474 23566 23860 28632 35349 35790 38176 42948 47132 47720 53685 57264 58915 70698 71580 85896 94264 95440 106047 107370 114528 117830 141396 143160 171792 176745 188528 190880 212094 214740 235660 282792 286320 343584 353490 377056 424188 429480 471320 530235 565584 572640 706980 848376 858960 942640 1060470 1131168 1413960 1696752 1717920 1885280 2120940 2827920 3393504 4241880 5655840 8483760 14057119 16967520 28114238 42171357 56228476 70285595 84342714 112456952 126514071 140571190 168685428 210856785 224913904 253028142 281142380 337370856 421713570 449827808 506056284 562284760 632570355 674741712 843427140 1012112568 1124569520 1265140710 1349483424 1686854280 2024225136 2249139040 2530281420 3373708560 4048450272 5060562840 6747417120 10121125680 20242251360