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150345500052 = 2231129162124229
BaseRepresentation
bin1000110000000101001…
…0100100010110010100
3112101001211120201211210
42030001102210112110
54430401422000202
6153022345501420
713601462444016
oct2140122442624
9471054521753
10150345500052
115884112a490
122517a4a1870
131124001b367
1473c360a1b6
153d9e0c9c6c
hex23014a4594

150345500052 has 96 divisors (see below), whose sum is σ = 396154684800. Its totient is φ = 43959283200.

The previous prime is 150345500051. The next prime is 150345500057. The reversal of 150345500052 is 250005543051.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 150345499992 and 150345500019.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150345500051) 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 31 ways as a sum of consecutive naturals, for example, 6193074 + ... + 6217302.

It is an arithmetic number, because the mean of its divisors is an integer number (4126611300).

Almost surely, 2150345500052 is an apocalyptic number.

150345500052 is a gapful number since it is divisible by the number (12) 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 150345500052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198077342400).

150345500052 is an abundant number, since it is smaller than the sum of its proper divisors (245809184748).

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

150345500052 is a wasteful number, since it uses less digits than its factorization.

150345500052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25897 (or 25895 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 150345500052 in words is "one hundred fifty billion, three hundred forty-five million, five hundred thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1621 1914 3242 3828 4863 6484 9726 17831 19452 24229 35662 47009 48458 53493 71324 72687 94018 96916 106986 141027 145374 188036 213972 266519 282054 290748 517099 533038 564108 702641 799557 1034198 1066076 1405282 1551297 1599114 2068396 2107923 2810564 3102594 3198228 4215846 6205188 7729051 8431692 15458102 23187153 30916204 39275209 46374306 78550418 92748612 117825627 157100836 235651254 432027299 471302508 864054598 1138981061 1296081897 1728109196 2277962122 2592163794 3416943183 4555924244 5184327588 6833886366 12528791671 13667772732 25057583342 37586375013 50115166684 75172750026 150345500052