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187053840072 = 2332114330717891
BaseRepresentation
bin1010111000110101000…
…1110001011011001000
3122212211002210121201200
42232031101301123020
511031041240340242
6221533100544200
716341240256341
oct2561521613310
9585732717650
10187053840072
117236901a680
1230303b52060
131484014b708
1490a696d0c8
154cebb0a04c
hex2b8d4716c8

187053840072 has 192 divisors, whose sum is σ = 567385378560. Its totient is φ = 55181347200.

The previous prime is 187053840047. The next prime is 187053840091. The reversal of 187053840072 is 270048350781.

187053840072 is a `hidden beast` number, since 1 + 8 + 7 + 0 + 538 + 40 + 0 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10446247 + ... + 10464137.

It is an arithmetic number, because the mean of its divisors is an integer number (2955132180).

Almost surely, 2187053840072 is an apocalyptic number.

187053840072 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 187053840072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283692689280).

187053840072 is an abundant number, since it is smaller than the sum of its proper divisors (380331538488).

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

187053840072 is a wasteful number, since it uses less digits than its factorization.

187053840072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18264 (or 18257 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 187053840072 in words is "one hundred eighty-seven billion, fifty-three million, eight hundred forty thousand, seventy-two".