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145118656 = 2619131911
BaseRepresentation
bin10001010011001…
…01010111000000
3101010001210101001
420221211113000
5244122244111
622222221344
73411326314
oct1051452700
9333053331
10145118656
1174a08881
1240724854
13240b0137
14153b7b44
15cb181c1
hex8a655c0

145118656 has 56 divisors (see below), whose sum is σ = 305775360. Its totient is φ = 68140800.

The previous prime is 145118629. The next prime is 145118663. The reversal of 145118656 is 656811541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158841 + ... + 159751.

Almost surely, 2145118656 is an apocalyptic number.

145118656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145118656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152887680).

145118656 is an abundant number, since it is smaller than the sum of its proper divisors (160656704).

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

145118656 is a wasteful number, since it uses less digits than its factorization.

145118656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1063 counting only the distinct ones).

The product of its digits is 28800, while the sum is 37.

The square root of 145118656 is about 12046.5204934869. The cubic root of 145118656 is about 525.5020515623.

The spelling of 145118656 in words is "one hundred forty-five million, one hundred eighteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 131 152 262 304 524 608 911 1048 1216 1822 2096 2489 3644 4192 4978 7288 8384 9956 14576 17309 19912 29152 34618 39824 58304 69236 79648 119341 138472 159296 238682 276944 477364 553888 954728 1107776 1909456 2267479 3818912 4534958 7637824 9069916 18139832 36279664 72559328 145118656