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150223745664 = 273414489173
BaseRepresentation
bin1000101111101000001…
…0000111001010000000
3112100202100110222020000
42023322002013022000
54430124234330124
6153002320120000
713565453524656
oct2137202071200
9470670428200
10150223745664
115878942a623
1225145766000
1311220a2ba45
1473b1394dd6
153d935796c9
hex22fa087280

150223745664 has 80 divisors (see below), whose sum is σ = 447063463770. Its totient is φ = 50074578432.

The previous prime is 150223745663. The next prime is 150223745731. The reversal of 150223745664 is 466547322051.

150223745664 is a `hidden beast` number, since 1 + 50 + 2 + 2 + 37 + 4 + 566 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91663617600 + 58560128064 = 302760^2 + 241992^2 .

It is a super-2 number, since 2×1502237456642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150223745663) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7234219 + ... + 7254954.

Almost surely, 2150223745664 is an apocalyptic number.

It is an amenable number.

150223745664 is an abundant number, since it is smaller than the sum of its proper divisors (296839718106).

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

150223745664 is an equidigital number, since it uses as much as digits as its factorization.

150223745664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14489199 (or 14489178 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 150223745664 in words is "one hundred fifty billion, two hundred twenty-three million, seven hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 14489173 28978346 43467519 57956692 86935038 115913384 130402557 173870076 231826768 260805114 347740152 391207671 463653536 521610228 695480304 782415342 927307072 1043220456 1173623013 1390960608 1564830684 1854614144 2086440912 2347246026 2781921216 3129661368 4172881824 4694492052 5563842432 6259322736 8345763648 9388984104 12518645472 16691527296 18777968208 25037290944 37555936416 50074581888 75111872832 150223745664