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20177857287940 = 22511271988113163
BaseRepresentation
bin1001001011010000001100…
…00001000001011100000100
32122102222120120022212112111
410211220012001001130010
510121043222431203230
6110525325113030404
74151542054023022
oct445500601013404
978388516285474
1020177857287940
11647a421448a00
12231a72b6b5404
13b349c1034311
144da88364d712
1524ed143db92a
hex125a06041704

20177857287940 has 144 divisors (see below), whose sum is σ = 46697097404160. Its totient is φ = 7318324710400.

The previous prime is 20177857287937. The next prime is 20177857287961. The reversal of 20177857287940 is 4978275877102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1532915799 + ... + 1532928961.

It is an arithmetic number, because the mean of its divisors is an integer number (324285398640).

Almost surely, 220177857287940 is an apocalyptic number.

20177857287940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20177857287940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23348548702080).

20177857287940 is an abundant number, since it is smaller than the sum of its proper divisors (26519240116220).

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

20177857287940 is a wasteful number, since it uses less digits than its factorization.

20177857287940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14794 (or 14781 counting only the distinct ones).

The product of its (nonzero) digits is 110638080, while the sum is 67.

The spelling of 20177857287940 in words is "twenty trillion, one hundred seventy-seven billion, eight hundred fifty-seven million, two hundred eighty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 719 881 1210 1438 1762 2420 2876 3524 3595 4405 7190 7909 8810 9691 13163 14380 15818 17620 19382 26326 31636 38764 39545 48455 52652 65815 79090 86999 96910 106601 131630 144793 158180 173998 193820 213202 263260 289586 347996 426404 434995 533005 579172 633439 723965 869990 1066010 1266878 1447930 1592723 1739980 2132020 2533756 2895860 3167195 3185446 6334390 6370892 6967829 7963615 9464197 11596603 12668780 13935658 15927230 18928394 23193206 27871316 31854460 34839145 37856788 46386412 47320985 57983015 69678290 76646119 94641970 104106167 115966030 127562633 139356580 153292238 189283940 208212334 231932060 255125266 306584476 383230595 416424668 510250532 520530835 637813165 766461190 1041061670 1145167837 1275626330 1403188963 1532922380 2082123340 2290335674 2551252660 2806377926 4580671348 5612755852 5725839185 7015944815 8337957557 11451678370 14031889630 16675915114 22903356740 28063779260 33351830228 41689787785 83379575570 91717533127 166759151140 183435066254 366870132508 458587665635 917175331270 1008892864397 1834350662540 2017785728794 4035571457588 5044464321985 10088928643970 20177857287940