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149427426560 = 285263443879
BaseRepresentation
bin1000101100101010010…
…0011001010100000000
3112021200212001202202212
42023022210121110000
54422011410122220
6152351312201252
713536644111636
oct2131244312400
9467625052685
10149427426560
115840a983265
1224b62b39228
1311124a673c9
147337707356
153d486cd0c5
hex22ca919500

149427426560 has 72 divisors (see below), whose sum is σ = 359287125120. Its totient is φ = 59543570432.

The previous prime is 149427426553. The next prime is 149427426569. The reversal of 149427426560 is 65624724941.

It is a junction number, because it is equal to n+sod(n) for n = 149427426499 and 149427426508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149427426569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114701 + ... + 558579.

It is an arithmetic number, because the mean of its divisors is an integer number (4990098960).

Almost surely, 2149427426560 is an apocalyptic number.

149427426560 is a gapful number since it is divisible by the number (10) 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 149427426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179643562560).

149427426560 is an abundant number, since it is smaller than the sum of its proper divisors (209859698560).

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

149427426560 is an equidigital number, since it uses as much as digits as its factorization.

149427426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444163 (or 444149 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 50.

The spelling of 149427426560 in words is "one hundred forty-nine billion, four hundred twenty-seven million, four hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 263 320 526 640 1052 1280 1315 2104 2630 4208 5260 8416 10520 16832 21040 33664 42080 67328 84160 168320 336640 443879 887758 1775516 2219395 3551032 4438790 7102064 8877580 14204128 17755160 28408256 35510320 56816512 71020640 113633024 116740177 142041280 233480354 284082560 466960708 568165120 583700885 933921416 1167401770 1867842832 2334803540 3735685664 4669607080 7471371328 9339214160 14942742656 18678428320 29885485312 37356856640 74713713280 149427426560