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1341267177216 = 28317312532017
BaseRepresentation
bin10011100001001001110…
…000001110111100000000
311202020001012211021002010
4103201021300032330000
5133433403344132331
62504100350252520
7165621564616401
oct23411160167400
94666035737063
101341267177216
1147791239a22a
12197b437b7140
1399633861bb5
1448cbc1719a8
1524d51cb6e46
hex13849c0ef00

1341267177216 has 432 divisors, whose sum is σ = 3981232739232. Its totient is φ = 399334440960.

The previous prime is 1341267177209. The next prime is 1341267177307. The reversal of 1341267177216 is 6127717621431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 664980240 + ... + 664982256.

It is an arithmetic number, because the mean of its divisors is an integer number (9215816526).

Almost surely, 21341267177216 is an apocalyptic number.

1341267177216 is a gapful number since it is divisible by the number (16) 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 1341267177216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990616369616).

1341267177216 is an abundant number, since it is smaller than the sum of its proper divisors (2639965562016).

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

1341267177216 is a wasteful number, since it uses less digits than its factorization.

1341267177216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2123 counting only the distinct ones).

The product of its digits is 592704, while the sum is 48.

The spelling of 1341267177216 in words is "one trillion, three hundred forty-one billion, two hundred sixty-seven million, one hundred seventy-seven thousand, two hundred sixteen".