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107488780360 = 23513206709193
BaseRepresentation
bin110010000011011010…
…1001010000001001000
3101021110002002210122021
41210012311022001020
53230114111432420
6121214001334224
710523446362253
oct1440665120110
9337402083567
10107488780360
1141649683685
12189b9937374
13a1a016ca20
1452b989209a
152be19027aa
hex1906d4a048

107488780360 has 32 divisors (see below), whose sum is σ = 260453584440. Its totient is φ = 39688164864.

The previous prime is 107488780339. The next prime is 107488780379. The reversal of 107488780360 is 63087884701.

It can be written as a sum of positive squares in 4 ways, for example, as 88876726884 + 18612053476 = 298122^2 + 136426^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 107488780298 and 107488780307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103354077 + ... + 103355116.

Almost surely, 2107488780360 is an apocalyptic number.

107488780360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107488780360 is an abundant number, since it is smaller than the sum of its proper divisors (152964804080).

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

107488780360 is a wasteful number, since it uses less digits than its factorization.

107488780360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206709217 (or 206709213 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 52.

The spelling of 107488780360 in words is "one hundred seven billion, four hundred eighty-eight million, seven hundred eighty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 206709193 413418386 826836772 1033545965 1653673544 2067091930 2687219509 4134183860 5374439018 8268367720 10748878036 13436097545 21497756072 26872195090 53744390180 107488780360