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1631204364042 = 23411344317077
BaseRepresentation
bin10111101111001011010…
…110110100111100001010
312202221102102210102020000
4113233023112310330022
5203211201304122132
63245210454343430
7225564523215231
oct27571326647412
95687372712200
101631204364042
1157987637a000
1222417b05ab76
13baa8b97ca86
1458d44a7db18
152c670d0b87c
hex17bcb5b4f0a

1631204364042 has 160 divisors (see below), whose sum is σ = 4029653289024. Its totient is φ = 493159661280.

The previous prime is 1631204364037. The next prime is 1631204364091. The reversal of 1631204364042 is 2404634021361.

1631204364042 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 2 + 0 + 4 + 3 + 640 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1631204363988 and 1631204364006.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95512008 + ... + 95529084.

Almost surely, 21631204364042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1631204364042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014826644512).

1631204364042 is an abundant number, since it is smaller than the sum of its proper divisors (2398448924982).

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

1631204364042 is a wasteful number, since it uses less digits than its factorization.

1631204364042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17567 (or 17536 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 1631204364042 in words is "one trillion, six hundred thirty-one billion, two hundred four million, three hundred sixty-four thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 443 594 726 886 891 1089 1329 1331 1782 2178 2658 2662 3267 3987 3993 4873 6534 7974 7986 9746 9801 11961 11979 14619 17077 19602 23922 23958 29238 34154 35883 35937 43857 51231 53603 71766 71874 87714 102462 107206 107811 131571 153693 160809 187847 215622 263142 307386 321618 375694 394713 461079 482427 563541 589633 789426 922158 964854 1127082 1179266 1383237 1447281 1690623 1768899 2066317 2766474 2894562 3381246 3537798 4132634 4341843 5071869 5306697 6198951 7565111 8683686 10143738 10613394 12397902 15130222 15215607 15920091 18596853 22695333 22729487 30431214 31840182 37193706 45390666 45458974 47760273 55790559 68085999 68188461 83216221 95520546 111581118 136171998 136376922 166432442 167371677 204257997 204565383 249648663 334743354 408515994 409130766 499297326 612773991 613696149 748945989 915378431 1225547982 1227392298 1497891978 1830756862 1841088447 2246837967 2746135293 3682176894 4493675934 5492270586 6740513901 8238405879 10069162741 13481027802 16476811758 20138325482 24715217637 30207488223 49430435274 60414976446 74145652911 90622464669 148291305822 181244929338 271867394007 543734788014 815602182021 1631204364042