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145138652992 = 2631163448801
BaseRepresentation
bin1000011100101011110…
…0000001011101000000
3111212121221222111110101
42013022330001131000
54334220443343432
6150401545012144
713325446123624
oct2071274013500
9455557874411
10145138652992
1156609a931a3
1224166784054
13108c0378a78
14704bca3184
153b96e154e7
hex21caf01740

145138652992 has 56 divisors (see below), whose sum is σ = 299124737792. Its totient is φ = 69797376000.

The previous prime is 145138652977. The next prime is 145138652999. The reversal of 145138652992 is 299256831541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145138652999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98992 + ... + 547792.

Almost surely, 2145138652992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145138652992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149562368896).

145138652992 is an abundant number, since it is smaller than the sum of its proper divisors (153986084800).

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

145138652992 is a wasteful number, since it uses less digits than its factorization.

145138652992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449007 (or 448997 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 55.

The spelling of 145138652992 in words is "one hundred forty-five billion, one hundred thirty-eight million, six hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 163 248 326 496 652 992 1304 1984 2608 5053 5216 10106 10432 20212 40424 80848 161696 323392 448801 897602 1795204 3590408 7180816 13912831 14361632 27825662 28723264 55651324 73154563 111302648 146309126 222605296 292618252 445210592 585236504 890421184 1170473008 2267791453 2340946016 4535582906 4681892032 9071165812 18142331624 36284663248 72569326496 145138652992