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1631068213086 = 234133791922777
BaseRepresentation
bin10111101111000011001…
…111011100111101011110
312202221001221121020020000
4113233003033130331132
5203210411430304321
63245145152235130
7225561251025534
oct27570317347536
95687057536200
101631068213086
11579806536854
1222414153baa6
13baa696bc690
1458d3095c154
152c663db5826
hex17bc33dcf5e

1631068213086 has 160 divisors (see below), whose sum is σ = 4046892548160. Its totient is φ = 487750408704.

The previous prime is 1631068213081. The next prime is 1631068213091. The reversal of 1631068213086 is 6803128601361.

1631068213086 is a `hidden beast` number, since 1 + 6 + 310 + 6 + 8 + 21 + 308 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1631068213081) and next prime (1631068213091).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1631068213081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71598930 + ... + 71621706.

It is an arithmetic number, because the mean of its divisors is an integer number (25293078426).

Almost surely, 21631068213086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1631068213086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023446274080).

1631068213086 is an abundant number, since it is smaller than the sum of its proper divisors (2415824335074).

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

1631068213086 is a wasteful number, since it uses less digits than its factorization.

1631068213086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23760 (or 23751 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1631068213086 in words is "one trillion, six hundred thirty-one billion, sixty-eight million, two hundred thirteen thousand, eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 81 111 117 162 222 234 333 351 481 666 702 919 962 999 1053 1443 1838 1998 2106 2757 2886 2997 4329 5514 5994 8271 8658 11947 12987 16542 22777 23894 24813 25974 34003 35841 38961 45554 49626 68006 68331 71682 74439 77922 102009 107523 136662 148878 204018 204993 215046 296101 306027 322569 409986 442039 592202 612054 614979 645138 842749 884078 888303 918081 967707 1229958 1326117 1685498 1776606 1836162 1844937 1935414 2528247 2652234 2664909 2754243 3689874 3978351 5056494 5329818 5508486 7584741 7956702 7994727 10955737 11935053 15169482 15989454 20932063 21911474 22754223 23870106 23984181 32867211 35805159 41864126 45508446 47968362 62796189 65734422 68262669 71610318 98601633 125592378 136525338 188388567 197203266 272116819 295804899 376777134 544233638 565165701 591609798 774486331 816350457 887414697 1130331402 1548972662 1632700914 1695497103 1774829394 2323458993 2449051371 3390994206 4646917986 4898102742 6970376979 7347154113 10068322303 13940753958 14694308226 20136644606 20911130937 22041462339 30204966909 41822261874 44082924678 60409933818 62733392811 90614900727 125466785622 181229801454 271844702181 543689404362 815534106543 1631068213086