Search a number
-
+
1376358931980 = 2234561971391033
BaseRepresentation
bin10100000001110101011…
…000101001111000001100
311212120121211011002220000
4110001311120221320030
5140022240341310410
62532142432324300
7201303312614334
oct24016530517014
94776554132800
101376358931980
1149078a80aa4a
121a28b79a3690
139ca36aa0426
144a88a9240c4
1525c0791ddc0
hex14075629e0c

1376358931980 has 480 divisors, whose sum is σ = 4469932864320. Its totient is φ = 354376581120.

The previous prime is 1376358931967. The next prime is 1376358932017. The reversal of 1376358931980 is 891398536731.

1376358931980 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 358 + 93 + 198 + 0 = 666.

It is a super-2 number, since 2×13763589319802 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1332389544 + ... + 1332390576.

It is an arithmetic number, because the mean of its divisors is an integer number (9312360134).

Almost surely, 21376358931980 is an apocalyptic number.

1376358931980 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 1376358931980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234966432160).

1376358931980 is an abundant number, since it is smaller than the sum of its proper divisors (3093573932340).

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

1376358931980 is a wasteful number, since it uses less digits than its factorization.

1376358931980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 1376358931980 in words is "one trillion, three hundred seventy-six billion, three hundred fifty-eight million, nine hundred thirty-one thousand, nine hundred eighty".