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107575837020 = 22335883225611
BaseRepresentation
bin110010000110000000…
…1010000000101011100
3101021200010220201221000
41210030001100011130
53230303403241040
6121230351310300
710525554345621
oct1441401200534
9337603821830
10107575837020
1141693834633
1218a22b1b390
13a1b5201042
1452c7274348
152be939c130
hex190c05015c

107575837020 has 96 divisors (see below), whose sum is σ = 335060893440. Its totient is φ = 28654274880.

The previous prime is 107575837013. The next prime is 107575837141. The reversal of 107575837020 is 20738575701.

107575837020 is a `hidden beast` number, since 1 + 0 + 7 + 575 + 8 + 3 + 70 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364015 + ... + 589625.

It is an arithmetic number, because the mean of its divisors is an integer number (3490217640).

Almost surely, 2107575837020 is an apocalyptic number.

107575837020 is a gapful number since it is divisible by the number (10) 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 107575837020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167530446720).

107575837020 is an abundant number, since it is smaller than the sum of its proper divisors (227485056420).

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

107575837020 is a wasteful number, since it uses less digits than its factorization.

107575837020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226512 (or 226504 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 107575837020 in words is "one hundred seven billion, five hundred seventy-five million, eight hundred thirty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 883 1766 2649 3532 4415 5298 7947 8830 10596 13245 15894 17660 23841 26490 31788 39735 47682 52980 79470 95364 119205 158940 225611 238410 451222 476820 676833 902444 1128055 1353666 2030499 2256110 2707332 3384165 4060998 4512220 6091497 6768330 8121996 10152495 12182994 13536660 20304990 24365988 30457485 40609980 60914970 121829940 199214513 398429026 597643539 796858052 996072565 1195287078 1792930617 1992145130 2390574156 2988217695 3585861234 3984290260 5378791851 5976435390 7171722468 8964653085 10757583702 11952870780 17929306170 21515167404 26893959255 35858612340 53787918510 107575837020