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7731681807990 = 2357532311300593
BaseRepresentation
bin111000010000010110000…
…1001011100111001110110
31000101010211012100222100010
41300200230021130321312
52003133441020323430
624235515142001050
71425411166005660
oct160405411347166
930333735328303
107731681807990
112510a958a8228
12a4a550716186
1344112c7076ca
141ca303093530
15d61bad8dcb0
hex7082c25ce76

7731681807990 has 128 divisors (see below), whose sum is σ = 21616450394112. Its totient is φ = 1733141329920.

The previous prime is 7731681807959. The next prime is 7731681808009. The reversal of 7731681807990 is 997081861377.

It is a super-3 number, since 3×77316818079903 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25571134 + ... + 25871726.

It is an arithmetic number, because the mean of its divisors is an integer number (168878518704).

Almost surely, 27731681807990 is an apocalyptic number.

7731681807990 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7731681807990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10808225197056).

7731681807990 is an abundant number, since it is smaller than the sum of its proper divisors (13884768586122).

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

7731681807990 is a wasteful number, since it uses less digits than its factorization.

7731681807990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302974.

The product of its (nonzero) digits is 32006016, while the sum is 66.

The spelling of 7731681807990 in words is "seven trillion, seven hundred thirty-one billion, six hundred eighty-one million, eight hundred seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 159 210 265 318 371 530 742 795 1113 1590 1855 2226 2311 3710 4622 5565 6933 11130 11555 13866 16177 23110 32354 34665 48531 69330 80885 97062 122483 161770 242655 244966 300593 367449 485310 601186 612415 734898 857381 901779 1224830 1502965 1714762 1803558 1837245 2104151 2572143 3005930 3674490 4208302 4286905 4508895 5144286 6312453 8573810 9017790 10520755 12624906 12860715 15931429 21041510 25721430 31562265 31862858 47794287 63124530 79657145 95588574 111520003 159314290 223040006 238971435 334560009 477942870 557600015 669120018 694670423 1115200030 1389340846 1672800045 2084011269 3345600090 3473352115 4168022538 4862692961 6946704230 9725385922 10420056345 14588078883 20840112690 24313464805 29176157766 36817532419 48626929610 72940394415 73635064838 110452597257 145880788830 184087662095 220905194514 257722726933 368175324190 515445453866 552262986285 773168180799 1104525972570 1288613634665 1546336361598 2577227269330 3865840903995 7731681807990