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149352017888 = 2537795093137
BaseRepresentation
bin1000101100011000010…
…0101110111111100000
3112021111121011121112002
42023012010232333200
54421333104033023
6152340020023132
713535040130403
oct2130604567740
9467447147462
10149352017888
1158381358647
1224b41831aa8
1311112253aa8
14732b6b7d3a
153d41c84b28
hex22c612efe0

149352017888 has 96 divisors (see below), whose sum is σ = 306504777600. Its totient is φ = 71574257664.

The previous prime is 149352017887. The next prime is 149352017917. The reversal of 149352017888 is 888710253941.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149352017887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47608256 + ... + 47611392.

It is an arithmetic number, because the mean of its divisors is an integer number (3192758100).

Almost surely, 2149352017888 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 149352017888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153252388800).

149352017888 is an abundant number, since it is smaller than the sum of its proper divisors (157152759712).

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

149352017888 is a wasteful number, since it uses less digits than its factorization.

149352017888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3772 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 56.

The spelling of 149352017888 in words is "one hundred forty-nine billion, three hundred fifty-two million, seventeen thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 37 74 79 148 158 296 316 509 592 632 1018 1184 1264 2036 2528 2923 3137 4072 5846 6274 8144 11692 12548 16288 18833 23384 25096 37666 40211 46768 50192 75332 80422 93536 100384 116069 150664 160844 232138 247823 301328 321688 464276 495646 602656 643376 928552 991292 1286752 1487807 1596733 1857104 1982584 2975614 3193466 3714208 3965168 5951228 6386932 7930336 9169451 11902456 12773864 18338902 23804912 25547728 36677804 47609824 51095456 59079121 73355608 118158242 126141907 146711216 236316484 252283814 293422432 472632968 504567628 945265936 1009135256 1890531872 2018270512 4036541024 4667250559 9334501118 18669002236 37338004472 74676008944 149352017888