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20287629120 = 2635111921177
BaseRepresentation
bin10010111001001111…
…001010011101000000
31221100212202100020010
4102321033022131000
5313022113112440
613153042144520
71315514000523
oct227117123500
957325670203
1020287629120
118670924040
123b22352140
131bb4163995
14da6598bba
157db134580
hex4b93ca740

20287629120 has 112 divisors (see below), whose sum is σ = 70269006528. Its totient is φ = 4918210560.

The previous prime is 20287629091. The next prime is 20287629127. The reversal of 20287629120 is 2192678202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20287629127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 950029 + ... + 971148.

It is an arithmetic number, because the mean of its divisors is an integer number (627401844).

Almost surely, 220287629120 is an apocalyptic number.

20287629120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20287629120 is an abundant number, since it is smaller than the sum of its proper divisors (49981377408).

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

20287629120 is a wasteful number, since it uses less digits than its factorization.

20287629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921208 (or 1921198 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 20287629120 in words is "twenty billion, two hundred eighty-seven million, six hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 1921177 3842354 5763531 7684708 9605885 11527062 15369416 19211770 21132947 23054124 28817655 30738832 38423540 42265894 46108248 57635310 61477664 63398841 76847080 84531788 92216496 105664735 115270620 122955328 126797682 153694160 169063576 184432992 211329470 230541240 253595364 307388320 316994205 338127152 368865984 422658940 461082480 507190728 614776640 633988410 676254304 845317880 922164960 1014381456 1267976820 1352508608 1690635760 1844329920 2028762912 2535953640 3381271520 4057525824 5071907280 6762543040 10143814560 20287629120