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145882458717 = 317194317412011
BaseRepresentation
bin1000011111011101000…
…1011010101001011101
3111221112210120202002120
42013313101122221131
54342231402134332
6151003435213153
713353050303502
oct2076721325135
9457483522076
10145882458717
1156960932476
12243338a71b9
13109ab4b4cb8
1470bc9a14a9
153bdc38c32c
hex21f745aa5d

145882458717 has 64 divisors (see below), whose sum is σ = 222070717440. Its totient is φ = 84609100800.

The previous prime is 145882458703. The next prime is 145882458721. The reversal of 145882458717 is 717854288541.

It is not a de Polignac number, because 145882458717 - 28 = 145882458461 is a prime.

It is a super-2 number, since 2×1458824587172 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145882458797) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72541242 + ... + 72543252.

It is an arithmetic number, because the mean of its divisors is an integer number (3469854960).

Almost surely, 2145882458717 is an apocalyptic number.

145882458717 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

145882458717 is a deficient number, since it is larger than the sum of its proper divisors (76188258723).

145882458717 is a wasteful number, since it uses less digits than its factorization.

145882458717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834.

The product of its digits is 20070400, while the sum is 60.

The spelling of 145882458717 in words is "one hundred forty-five billion, eight hundred eighty-two million, four hundred fifty-eight thousand, seven hundred seventeen".

Divisors: 1 3 17 19 43 51 57 129 323 731 817 969 1741 2011 2193 2451 5223 6033 13889 29597 33079 34187 38209 41667 74863 86473 88791 99237 102561 114627 224589 259419 562343 649553 1272671 1422397 1470041 1642987 1687029 1948659 3501151 3818013 4267191 4410123 4928961 10503453 24180749 27930779 59519567 66521869 72542247 83792337 150549493 178558701 199565607 451648479 1130871773 2559341381 2860440367 3392615319 7678024143 8581321101 48627486239 145882458717