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146522332448 = 2515724312
BaseRepresentation
bin1000100001110101101…
…0010101110100100000
3112000012101121200211122
42020131122111310200
54400034204114243
6151151134031412
713404650163542
oct2103532256440
9460171550748
10146522332448
115715a045038
1224492048568
1310a80c31acb
14713d967692
153c28634668
hex221d695d20

146522332448 has 54 divisors (see below), whose sum is σ = 290990054313. Its totient is φ = 72625637760.

The previous prime is 146522332441. The next prime is 146522332457. The reversal of 146522332448 is 844233225641.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 139956795664 + 6565536784 = 374108^2 + 81028^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=270668.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 146522332399 and 146522332408.

It is not an unprimeable number, because it can be changed into a prime (146522332441) 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, 339958793 + ... + 339959223.

Almost surely, 2146522332448 is an apocalyptic number.

It is an amenable number.

146522332448 is a deficient number, since it is larger than the sum of its proper divisors (144467721865).

146522332448 is an frugal number, since it uses more digits than its factorization.

146522332448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 590 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 44.

The spelling of 146522332448 in words is "one hundred forty-six billion, five hundred twenty-two million, three hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 157 314 431 628 862 1256 1724 2512 3448 5024 6896 13792 24649 49298 67667 98596 135334 185761 197192 270668 371522 394384 541336 743044 788768 1082672 1486088 2165344 2972176 5944352 10623719 21247438 29164477 42494876 58328954 84989752 116657908 169979504 233315816 339959008 466631632 933263264 4578822889 9157645778 18315291556 36630583112 73261166224 146522332448