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149525190800 = 24521153324209
BaseRepresentation
bin1000101101000001100…
…1010101100010010000
3112021221200000201002122
42023100121111202100
54422211422101200
6152405123433412
713542242102606
oct2132031254220
9467850021078
10149525190800
1158460087a57
1224b8b825868
131113c0a737b
1473466b5876
153d52090385
hex22d0655890

149525190800 has 60 divisors (see below), whose sum is σ = 359546944740. Its totient is φ = 59758018560.

The previous prime is 149525190767. The next prime is 149525190917. The reversal of 149525190800 is 8091525941.

It can be written as a sum of positive squares in 6 ways, for example, as 7363012864 + 142162177936 = 85808^2 + 377044^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 299096 + ... + 623304.

It is an arithmetic number, because the mean of its divisors is an integer number (5992449079).

Almost surely, 2149525190800 is an apocalyptic number.

149525190800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149525190800 is an abundant number, since it is smaller than the sum of its proper divisors (210021753940).

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

149525190800 is a wasteful number, since it uses less digits than its factorization.

149525190800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325380 (or 325369 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 44.

The spelling of 149525190800 in words is "one hundred forty-nine billion, five hundred twenty-five million, one hundred ninety thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1153 2306 4612 5765 9224 11530 18448 23060 28825 46120 57650 92240 115300 230600 324209 461200 648418 1296836 1621045 2593672 3242090 5187344 6484180 8105225 12968360 16210450 25936720 32420900 64841800 129683600 373812977 747625954 1495251908 1869064885 2990503816 3738129770 5981007632 7476259540 9345324425 14952519080 18690648850 29905038160 37381297700 74762595400 149525190800