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97201282050 = 232521931735863
BaseRepresentation
bin101101010000110100…
…1011101110000000010
3100021220010100201222100
41122201221131300002
53043032012011200
6112353104451230
710010511156645
oct1324151356002
9307803321870
1097201282050
113824a653964
1216a08619b16
139220a40c12
1449c1491a5c
1527dd6a4d00
hex16a1a5dc02

97201282050 has 144 divisors (see below), whose sum is σ = 275766903360. Its totient is φ = 24477966720.

The previous prime is 97201282039. The next prime is 97201282091. The reversal of 97201282050 is 5028210279.

It is a junction number, because it is equal to n+sod(n) for n = 97201281996 and 97201282014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2692419 + ... + 2728281.

It is an arithmetic number, because the mean of its divisors is an integer number (1915047940).

Almost surely, 297201282050 is an apocalyptic number.

97201282050 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97201282050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137883451680).

97201282050 is an abundant number, since it is smaller than the sum of its proper divisors (178565621310).

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

97201282050 is a wasteful number, since it uses less digits than its factorization.

97201282050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36217 (or 36209 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 97201282050 in words is "ninety-seven billion, two hundred one million, two hundred eighty-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 317 342 450 475 570 634 855 950 951 1425 1585 1710 1902 2850 2853 3170 4275 4755 5706 6023 7925 8550 9510 12046 14265 15850 18069 23775 28530 30115 35863 36138 47550 54207 60230 71325 71726 90345 107589 108414 142650 150575 179315 180690 215178 271035 301150 322767 358630 451725 537945 542070 645534 681397 896575 903450 1075890 1355175 1362794 1613835 1793150 2044191 2689725 2710350 3227670 3406985 4088382 5379450 6132573 6813970 8069175 10220955 11368571 12265146 16138350 17034925 20441910 22737142 30662865 34069850 34105713 51104775 56842855 61325730 68211426 102209550 102317139 113685710 153314325 170528565 204634278 216002849 284214275 306628650 341057130 432005698 511585695 568428550 648008547 852642825 1023171390 1080014245 1296017094 1705285650 1944025641 2160028490 2557928475 3240042735 3888051282 5115856950 5400071225 6480085470 9720128205 10800142450 16200213675 19440256410 32400427350 48600641025 97201282050