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107604072040 = 23543487128461
BaseRepresentation
bin110010000110110110…
…0111101011001101000
3101021202010001020002111
41210031230331121220
53230333120301130
6121233240412104
710526346343513
oct1441554753150
9337663036074
10107604072040
11416a8769a63
1218a30477034
13a1bb00885a
1452cad03d7a
152bebac802a
hex190db3d668

107604072040 has 64 divisors (see below), whose sum is σ = 248250245760. Its totient is φ = 41954008320.

The previous prime is 107604071983. The next prime is 107604072089. The reversal of 107604072040 is 40270406701.

It is a junction number, because it is equal to n+sod(n) for n = 107604071993 and 107604072011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773410 + ... + 901870.

It is an arithmetic number, because the mean of its divisors is an integer number (3878910090).

Almost surely, 2107604072040 is an apocalyptic number.

107604072040 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 107604072040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124125122880).

107604072040 is an abundant number, since it is smaller than the sum of its proper divisors (140646173720).

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

107604072040 is a wasteful number, since it uses less digits than its factorization.

107604072040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129002 (or 128998 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

Adding to 107604072040 its reverse (40270406701), we get a palindrome (147874478741).

The spelling of 107604072040 in words is "one hundred seven billion, six hundred four million, seventy-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 487 860 974 1720 1948 2435 3896 4870 9740 19480 20941 41882 83764 104705 128461 167528 209410 256922 418820 513844 642305 837640 1027688 1284610 2569220 5138440 5523823 11047646 22095292 27619115 44190584 55238230 62560507 110476460 125121014 220952920 250242028 312802535 500484056 625605070 1251210140 2502420280 2690101801 5380203602 10760407204 13450509005 21520814408 26901018010 53802036020 107604072040