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43996952381382 = 23471113271314811
BaseRepresentation
bin10100000000011110101101…
…01101111100011111000110
312202210001211020222122110000
422000033112231330133012
521231321224302201012
6233323530525142130
712160450331525310
oct1200172655743706
9182701736878400
1043996952381382
1113023003691770
124b26aa23ba946
131b71b82b78470
14ac166cb787b0
155146dd378ddc
hex2803d6b7c7c6

43996952381382 has 160 divisors (see below), whose sum is σ = 132366899960064. Its totient is φ = 10548719812800.

The previous prime is 43996952381381. The next prime is 43996952381383. The reversal of 43996952381382 is 28318325969934.

43996952381382 is a `hidden beast` number, since 4 + 3 + 9 + 9 + 6 + 9 + 5 + 238 + 1 + 382 = 666.

It is an interprime number because it is at equal distance from previous prime (43996952381381) and next prime (43996952381383).

It is a self number, because there is not a number n which added to its sum of digits gives 43996952381382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43996952381381) 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, 135495244 + ... + 135819567.

Almost surely, 243996952381382 is an apocalyptic number.

43996952381382 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

43996952381382 is an abundant number, since it is smaller than the sum of its proper divisors (88369947578682).

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

43996952381382 is a wasteful number, since it uses less digits than its factorization.

43996952381382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271314856 (or 271314847 counting only the distinct ones).

The product of its digits is 604661760, while the sum is 72.

The spelling of 43996952381382 in words is "forty-three trillion, nine hundred ninety-six billion, nine hundred fifty-two million, three hundred eighty-one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 81 91 99 117 126 143 154 162 182 189 198 231 234 273 286 297 351 378 429 462 546 567 594 693 702 819 858 891 1001 1053 1134 1287 1386 1638 1782 2002 2079 2106 2457 2574 3003 3861 4158 4914 6006 6237 7371 7722 9009 11583 12474 14742 18018 23166 27027 54054 81081 162162 271314811 542629622 813944433 1627888866 1899203677 2441833299 2984462921 3527092543 3798407354 4883666598 5697611031 5968925842 7054185086 7325499897 8953388763 10581277629 11395222062 14650999794 17092833093 17906777526 20891240447 21162555258 21976499691 24689647801 26860166289 31743832887 34185666186 38798017973 41782480894 43952999382 49379295602 51278499279 53720332578 62673721341 63487665774 74068943403 77596035946 80580498867 95231498661 102556998558 116394053919 125347442682 148137886806 153835497837 161160997734 188021164023 190462997322 222206830209 232788107838 241741496601 271586125811 285694495983 307670995674 349182161757 376042328046 444413660418 483482993202 543172251622 564063492069 571388991966 666620490627 698364323514 814758377433 1047546485271 1128126984138 1333240981254 1629516754866 1692190476207 1999861471881 2095092970542 2444275132299 3142639455813 3384380952414 3999722943762 4888550264598 6285278911626 7332825396897 14665650793794 21998476190691 43996952381382