Search a number
-
+
106785765522 = 232770232
BaseRepresentation
bin110001101110011101…
…1010111100010010010
3101012122002020221120200
41203130323113202102
53222144123444042
6121020125320030
710500152013312
oct1433473274222
9335562227520
10106785765522
1141318865187
1218842406016
13a0ba616307
145250371442
152b9ed36c4c
hex18dced7892

106785765522 has 18 divisors (see below), whose sum is σ = 231372162567. Its totient is φ = 35594793036.

The previous prime is 106785765521. The next prime is 106785765539. The reversal of 106785765522 is 225567587601.

106785765522 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 8 + 57 + 65 + 522 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53392882761 + 53392882761 = 231069^2 + 231069^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=231069.

It is a super-2 number, since 2×1067857655222 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106785765521) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1347903 + ... + 1424925.

Almost surely, 2106785765522 is an apocalyptic number.

106785765522 is an abundant number, since it is smaller than the sum of its proper divisors (124586397045).

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

106785765522 is an frugal number, since it uses more digits than its factorization.

106785765522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154054 (or 77028 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 106785765522 in words is "one hundred six billion, seven hundred eighty-five million, seven hundred sixty-five thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 18 77023 154046 231069 462138 693207 1386414 5932542529 11865085058 17797627587 35595255174 53392882761 106785765522