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12458890144458 = 2322330093937547
BaseRepresentation
bin1011010101001100111110…
…1110001010101011001010
31122010001120110211202221200
42311103033232022223022
53113111301334110313
642255311330245030
72424060624616542
oct265231756125312
948101513752850
1012458890144458
113a7387075837a
121492749126776
136c4b39866544
1431102908c322
1516913e8dab73
hexb54cfb8aaca

12458890144458 has 24 divisors (see below), whose sum is σ = 28167925544928. Its totient is φ = 3972399756072.

The previous prime is 12458890144439. The next prime is 12458890144487. The reversal of 12458890144458 is 85444109885421.

12458890144458 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 88 + 90 + 14 + 4 + 458 = 666.

It is a super-2 number, since 2×124588901444582 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12458890144395 and 12458890144404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15046968360 + ... + 15046969187.

It is an arithmetic number, because the mean of its divisors is an integer number (1173663564372).

Almost surely, 212458890144458 is an apocalyptic number.

12458890144458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12458890144458 is an abundant number, since it is smaller than the sum of its proper divisors (15709035400470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12458890144458 is a wasteful number, since it uses less digits than its factorization.

12458890144458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30093937578 (or 30093937575 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 63.

The spelling of 12458890144458 in words is "twelve trillion, four hundred fifty-eight billion, eight hundred ninety million, one hundred forty-four thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 30093937547 60187875094 90281812641 180563625282 270845437923 541690875846 692160563581 1384321127162 2076481690743 4152963381486 6229445072229 12458890144458