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187401900096 = 2632325350521
BaseRepresentation
bin1010111010001000000…
…1100001000001000000
3122220201100201220022200
42232202001201001000
511032244341300341
6222031413033200
716352664603525
oct2564201410100
9586640656280
10187401900096
117252753a294
12303a0625800
13148972a58a8
1490dac9314c
154d1c45ddb6
hex2ba2061040

187401900096 has 42 divisors (see below), whose sum is σ = 537153711822. Its totient is φ = 62467299840.

The previous prime is 187401900079. The next prime is 187401900139. The reversal of 187401900096 is 690009104781.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 142430760000 + 44971140096 = 377400^2 + 212064^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 162674685 + ... + 162675836.

It is an arithmetic number, because the mean of its divisors is an integer number (12789374091).

Almost surely, 2187401900096 is an apocalyptic number.

187401900096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

187401900096 is an abundant number, since it is smaller than the sum of its proper divisors (349751811726).

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

187401900096 is a wasteful number, since it uses less digits than its factorization.

187401900096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325350539 (or 325350526 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 187401900096 in words is "one hundred eighty-seven billion, four hundred one million, nine hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 325350521 650701042 976051563 1301402084 1952103126 2602804168 2928154689 3904206252 5205608336 5856309378 7808412504 10411216672 11712618756 15616825008 20822433344 23425237512 31233650016 46850475024 62467300032 93700950048 187401900096