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146993399641 = 11191353198197
BaseRepresentation
bin1000100011100101111…
…1010100011101011001
3112001102020000101112201
42020321133110131121
54402020302242031
6151310002410201
713422430165354
oct2107137243531
9461366011481
10146993399641
1157380a3a870
12245a3960961
1310b276c68aa
14718634b29b
153c54b84d61
hex22397d4759

146993399641 has 16 divisors (see below), whose sum is σ = 161653459968. Its totient is φ = 132553484800.

The previous prime is 146993399611. The next prime is 146993399731.

146993399641 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-146993399641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146993399611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642555 + ... + 840751.

It is an arithmetic number, because the mean of its divisors is an integer number (10103341248).

Almost surely, 2146993399641 is an apocalyptic number.

146993399641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146993399641 is a deficient number, since it is larger than the sum of its proper divisors (14660060327).

146993399641 is a wasteful number, since it uses less digits than its factorization.

146993399641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198752.

The product of its digits is 34012224, while the sum is 64.

The spelling of 146993399641 in words is "one hundred forty-six billion, nine hundred ninety-three million, three hundred ninety-nine thousand, six hundred forty-one".

Divisors: 1 11 191 353 2101 3883 67423 198197 741653 2180167 37855627 69963541 416411897 769598951 13363036331 146993399641