Search a number
-
+
107581761448 = 23722921144851
BaseRepresentation
bin110010000110001011…
…1110110011110101000
3101021200120001201201021
41210030113312132220
53230311412331243
6121231122302224
710525655612200
oct1441427663650
9337616051637
10107581761448
1141697110757
1218a24ab7974
13a1b64c6815
1452c7d77400
152be9b6c6ed
hex190c5f67a8

107581761448 has 96 divisors (see below), whose sum is σ = 243896205600. Its totient is φ = 44304624000.

The previous prime is 107581761439. The next prime is 107581761491. The reversal of 107581761448 is 844167185701.

It is a junction number, because it is equal to n+sod(n) for n = 107581761395 and 107581761404.

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 23 ways as a sum of consecutive naturals, for example, 2376223 + ... + 2421073.

It is an arithmetic number, because the mean of its divisors is an integer number (2540585475).

Almost surely, 2107581761448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107581761448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121948102800).

107581761448 is an abundant number, since it is smaller than the sum of its proper divisors (136314444152).

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

107581761448 is a wasteful number, since it uses less digits than its factorization.

107581761448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45111 (or 45100 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 52.

The spelling of 107581761448 in words is "one hundred seven billion, five hundred eighty-one million, seven hundred sixty-one thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 211 232 392 406 422 812 844 1421 1477 1624 1688 2842 2954 5684 5908 6119 10339 11368 11816 12238 20678 24476 41356 42833 44851 48952 82712 85666 89702 171332 179404 299831 313957 342664 358808 599662 627914 1199324 1255828 1300679 2197699 2398648 2511656 2601358 4395398 5202716 8790796 9104753 9463561 10405432 17581592 18209506 18927122 36419012 37854244 63733271 66244927 72838024 75708488 127466542 132489854 254933084 264979708 274443269 463714489 509866168 529959416 548886538 927428978 1097773076 1854857956 1921102883 2195546152 3709715912 3842205766 7684411532 13447720181 15368823064 26895440362 53790880724 107581761448