Search a number
-
+
146540011576345 = 5929276711401483
BaseRepresentation
bin100001010100011100000001…
…010101011101110000011001
3201012212002101100211110222221
4201110130001111131300121
5123201402420430420340
61235355315120144041
742603111044333662
oct4124340125356031
9635762340743887
10146540011576345
11427682a7276662
1214528529468021
13639c882494a0a
142828808242369
1511e1c96ac944a
hex85470155dc19

146540011576345 has 16 divisors (see below), whose sum is σ = 176100937032960. Its totient is φ = 117063485074944.

The previous prime is 146540011576331. The next prime is 146540011576373. The reversal of 146540011576345 is 543675110045641.

It is a cyclic number.

It is not a de Polignac number, because 146540011576345 - 29 = 146540011575833 is a prime.

It is a super-2 number, since 2×1465400115763452 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146540011576292 and 146540011576301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7151974 + ... + 18553456.

It is an arithmetic number, because the mean of its divisors is an integer number (11006308564560).

Almost surely, 2146540011576345 is an apocalyptic number.

It is an amenable number.

146540011576345 is a deficient number, since it is larger than the sum of its proper divisors (29560925456615).

146540011576345 is a wasteful number, since it uses less digits than its factorization.

146540011576345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11405184.

The product of its (nonzero) digits is 6048000, while the sum is 52.

The spelling of 146540011576345 in words is "one hundred forty-six trillion, five hundred forty billion, eleven million, five hundred seventy-six thousand, three hundred forty-five".

Divisors: 1 5 929 2767 4645 13835 2570543 11401483 12852715 57007415 10591977707 31547903461 52959888535 157739517305 29308002315269 146540011576345