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187161287040 = 27335713412903
BaseRepresentation
bin1010111001001110101…
…1101001100110000000
3122220002120222111021000
42232103223221212000
511031301242141130
6221551455532000
716344013455660
oct2562353514600
9586076874230
10187161287040
1172413738122
1230333b2a000
131485949b9c0
1490b6d3c1a0
154d06281260
hex2b93ae9980

187161287040 has 1024 divisors, whose sum is σ = 836017459200. Its totient is φ = 38512558080.

The previous prime is 187161287039. The next prime is 187161287077. The reversal of 187161287040 is 40782161781.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64470229 + ... + 64473131.

It is an arithmetic number, because the mean of its divisors is an integer number (816423300).

Almost surely, 2187161287040 is an apocalyptic number.

187161287040 is a gapful number since it is divisible by the number (10) 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 187161287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418008729600).

187161287040 is an abundant number, since it is smaller than the sum of its proper divisors (648856172160).

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

187161287040 is a wasteful number, since it uses less digits than its factorization.

187161287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 187161287040 in words is "one hundred eighty-seven billion, one hundred sixty-one million, two hundred eighty-seven thousand, forty".