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271077993340 = 225711435969383
BaseRepresentation
bin1111110001110110000…
…0011110101101111100
3221220200220001212020021
43330131200132231330
513420131431241330
6324310450101524
725404364632250
oct3743540365574
9856626055207
10271077993340
11a4a66507660
124465357a8a4
131c740bb08bb
14d197d48260
1570b852067a
hex3f1d81eb7c

271077993340 has 192 divisors, whose sum is σ = 738556600320. Its totient is φ = 81126984960.

The previous prime is 271077993317. The next prime is 271077993379. The reversal of 271077993340 is 43399770172.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3872289 + ... + 3941671.

It is an arithmetic number, because the mean of its divisors is an integer number (3846648960).

Almost surely, 2271077993340 is an apocalyptic number.

271077993340 is a gapful number since it is divisible by the number (20) 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 271077993340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369278300160).

271077993340 is an abundant number, since it is smaller than the sum of its proper divisors (467478606980).

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

271077993340 is a wasteful number, since it uses less digits than its factorization.

271077993340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69512 (or 69510 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 52.

The spelling of 271077993340 in words is "two hundred seventy-one billion, seventy-seven million, nine hundred ninety-three thousand, three hundred forty".