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146545545641 = 114127110931097
BaseRepresentation
bin1000100001111011001…
…0111001000110101001
3112000021000022001100112
42020132302321012221
54400111124430031
6151153323344105
713405351404515
oct2103662710651
9460230261315
10146545545641
115717115a4a0
1224499982035
1310a8599b921
147142a8b145
153c2a6bc62b
hex221ecb91a9

146545545641 has 32 divisors (see below), whose sum is σ = 164671750656. Its totient is φ = 129257856000.

The previous prime is 146545545581. The next prime is 146545545701.

146545545641 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (146545545581) and next prime (146545545701).

It is a cyclic number.

It is not a de Polignac number, because 146545545641 - 230 = 145471803817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 146545545641.

It is not an unprimeable number, because it can be changed into a prime (146545545241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133587005 + ... + 133588101.

It is an arithmetic number, because the mean of its divisors is an integer number (5145992208).

Almost surely, 2146545545641 is an apocalyptic number.

146545545641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146545545641 is a deficient number, since it is larger than the sum of its proper divisors (18126205015).

146545545641 is a wasteful number, since it uses less digits than its factorization.

146545545641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513.

The product of its digits is 5760000, while the sum is 50.

The spelling of 146545545641 in words is "one hundred forty-six billion, five hundred forty-five million, five hundred forty-five thousand, six hundred forty-one".

Divisors: 1 11 41 271 451 1093 1097 2981 11111 12023 12067 44813 44977 122221 296203 297287 492943 494747 1199021 3258233 3270157 12144323 12188767 13189231 49159861 133587553 134076437 324934691 540758471 3574281601 13322322331 146545545641