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127871239680 = 293454314341
BaseRepresentation
bin111011100010110111…
…0000100011000000000
3110020001120022000110000
41313011232010120000
54043340014132210
6134424312240000
712144524414022
oct1670556043000
9406046260400
10127871239680
114a258a87a88
12209479a0000
13c09ab57042
146290894012
1534d6019ac0
hex1dc5b84600

127871239680 has 400 divisors, whose sum is σ = 468678087504. Its totient is φ = 33303674880.

The previous prime is 127871239621. The next prime is 127871239709. The reversal of 127871239680 is 86932178721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8909310 + ... + 8923650.

Almost surely, 2127871239680 is an apocalyptic number.

127871239680 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 127871239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234339043752).

127871239680 is an abundant number, since it is smaller than the sum of its proper divisors (340806847824).

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

127871239680 is an equidigital number, since it uses as much as digits as its factorization.

127871239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14419 (or 14394 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 127871239680 in words is "one hundred twenty-seven billion, eight hundred seventy-one million, two hundred thirty-nine thousand, six hundred eighty".