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146727582404 = 22135741491497
BaseRepresentation
bin1000100010100110100…
…1010011101011000100
3112000201200211110211212
42020221221103223010
54400444230114104
6151223345150552
713413021605114
oct2105151235304
9460650743755
10146727582404
11572549933a7
122452a92b458
1310ab46068a0
14715cd15044
153c3b67936e
hex2229a53ac4

146727582404 has 24 divisors (see below), whose sum is σ = 276573788568. Its totient is φ = 67708488960.

The previous prime is 146727582401. The next prime is 146727582457. The reversal of 146727582404 is 404285727641.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 963978304 + 145763604100 = 31048^2 + 381790^2 .

It is a super-2 number, since 2×1467275824042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146727582401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52784 + ... + 544280.

It is an arithmetic number, because the mean of its divisors is an integer number (11523907857).

Almost surely, 2146727582404 is an apocalyptic number.

It is an amenable number.

146727582404 is a deficient number, since it is larger than the sum of its proper divisors (129846206164).

146727582404 is a wasteful number, since it uses less digits than its factorization.

146727582404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497255 (or 497253 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 50.

The spelling of 146727582404 in words is "one hundred forty-six billion, seven hundred twenty-seven million, five hundred eighty-two thousand, four hundred four".

Divisors: 1 2 4 13 26 52 5741 11482 22964 74633 149266 298532 491497 982994 1965988 6389461 12778922 25557844 2821684277 5643368554 11286737108 36681895601 73363791202 146727582404