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377084032416 = 253271321106779
BaseRepresentation
bin1010111110010111111…
…01011011010110100000
31100001022122010121012200
411133023331123112200
522134232003014131
6445121403253200
736146331250620
oct5371375332640
91301278117180
10377084032416
11135a14118813
12610b881a200
1329735ac1b00
141437290a880
159c1eb872e6
hex57cbf5b5a0

377084032416 has 216 divisors, whose sum is σ = 1327046928480. Its totient is φ = 99450643968.

The previous prime is 377084032397. The next prime is 377084032427. The reversal of 377084032416 is 614230480773.

It is a super-2 number, since 2×3770840324162 (a number of 24 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 212686 + ... + 894093.

It is an arithmetic number, because the mean of its divisors is an integer number (6143735780).

Almost surely, 2377084032416 is an apocalyptic number.

377084032416 is a gapful number since it is divisible by the number (36) 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 377084032416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663523464240).

377084032416 is an abundant number, since it is smaller than the sum of its proper divisors (949962896064).

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

377084032416 is a wasteful number, since it uses less digits than its factorization.

377084032416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106828 (or 1106804 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 377084032416 in words is "three hundred seventy-seven billion, eighty-four million, thirty-two thousand, four hundred sixteen".