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1377376000000 = 211567111343
BaseRepresentation
bin10100000010110010000…
…000011101100000000000
311212200020200221111220221
4110002302000131200000
5140031331224000000
62532431403512424
7201340442553250
oct24026200354000
94780220844827
101377376000000
11491161931230
121a2b40528714
139cb69705320
144a945a35960
1525c66d7261a
hex140b201d800

1377376000000 has 1344 divisors, whose sum is σ = 4729664459520. Its totient is φ = 387072000000.

The previous prime is 1377375999991. The next prime is 1377376000019. The reversal of 1377376000000 is 6737731.

It is a self number, because there is not a number n which added to its sum of digits gives 1377376000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 32031999979 + ... + 32032000021.

It is an arithmetic number, because the mean of its divisors is an integer number (3519095580).

Almost surely, 21377376000000 is an apocalyptic number.

1377376000000 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 1377376000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364832229760).

1377376000000 is an abundant number, since it is smaller than the sum of its proper divisors (3352288459520).

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

1377376000000 is an frugal number, since it uses more digits than its factorization.

1377376000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 34.

The spelling of 1377376000000 in words is "one trillion, three hundred seventy-seven billion, three hundred seventy-six million", and thus it is an aban number.