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145394854605 = 3757111337359
BaseRepresentation
bin1000011101101000110…
…1010110101011001101
3111220021211001220000000
42013122031112223031
54340232040321410
6150443220154513
713335006605250
oct2073215265315
9456254056000
10145394854605
1156730672270
1224218538a39
1310931480160
147073d15097
153bae671dc0
hex21da356acd

145394854605 has 512 divisors, whose sum is σ = 361834905600. Its totient is φ = 54117227520.

The previous prime is 145394854597. The next prime is 145394854613. The reversal of 145394854605 is 506458493541.

145394854605 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 94 + 8 + 546 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (145394854597) and next prime (145394854613).

It is not a de Polignac number, because 145394854605 - 23 = 145394854597 is a prime.

It is a super-2 number, since 2×1453948546052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 404999416 + ... + 404999774.

It is an arithmetic number, because the mean of its divisors is an integer number (706708800).

Almost surely, 2145394854605 is an apocalyptic number.

145394854605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145394854605 is an abundant number, since it is smaller than the sum of its proper divisors (216440050995).

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

145394854605 is a wasteful number, since it uses less digits than its factorization.

145394854605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

It can be divided in two parts, 145394 and 854605, that added together give a palindrome (999999).

The spelling of 145394854605 in words is "one hundred forty-five billion, three hundred ninety-four million, eight hundred fifty-four thousand, six hundred five".