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146718875521 = 67257172
BaseRepresentation
bin1000100010100100100…
…0000101111110000001
3112000201002110010020201
42020221020011332001
54400440013004041
6151222434405201
713412554602451
oct2105110057601
9460632403221
10146718875521
115724aa86829
1224527a30801
1310ab287879a
14715bac9d61
153c3aa09631
hex2229205f81

146718875521 has 9 divisors (see below), whose sum is σ = 148967450499. Its totient is φ = 144503760984.

The previous prime is 146718875509. The next prime is 146718875533. The reversal of 146718875521 is 125578817641.

The square root of 146718875521 is 383039.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (146718875509) and next prime (146718875533).

It can be written as a sum of positive squares in only one way, i.e., 85529927025 + 61188948496 = 292455^2 + 247364^2 .

It is not a de Polignac number, because 146718875521 - 27 = 146718875393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146718875591) 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, 25660755 + ... + 25666471.

Almost surely, 2146718875521 is an apocalyptic number.

146718875521 is the 383039-th square number.

146718875521 is the 191520-th centered octagonal number.

It is an amenable number.

146718875521 is a deficient number, since it is larger than the sum of its proper divisors (2248574978).

146718875521 is an frugal number, since it uses more digits than its factorization.

146718875521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11568 (or 5784 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 55.

The spelling of 146718875521 in words is "one hundred forty-six billion, seven hundred eighteen million, eight hundred seventy-five thousand, five hundred twenty-one".

Divisors: 1 67 4489 5717 383039 25663613 32684089 2189833963 146718875521