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1376083924992 = 21134723143127
BaseRepresentation
bin10100000001100100111…
…111100101100000000000
311212112220122200022020000
4110001210333211200000
5140021204441044432
62532055250120000
7201263433240600
oct24014477454000
94775818608200
101376083924992
11490659557147
121a283b880000
139c9c1b135ba
144a8621b8c00
1525bdd6ea57c
hex14064fe5800

1376083924992 has 1440 divisors, whose sum is σ = 5090105180160. Its totient is φ = 368709304320.

The previous prime is 1376083924991. The next prime is 1376083924997. The reversal of 1376083924992 is 2994293806731.

1376083924992 is a `hidden beast` number, since 1 + 3 + 7 + 60 + 83 + 9 + 2 + 499 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1376083924991) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10835306433 + ... + 10835306559.

It is an arithmetic number, because the mean of its divisors is an integer number (3534795264).

Almost surely, 21376083924992 is an apocalyptic number.

1376083924992 is a gapful number since it is divisible by the number (12) 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 1376083924992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545052590080).

1376083924992 is an abundant number, since it is smaller than the sum of its proper divisors (3714021255168).

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

1376083924992 is a wasteful number, since it uses less digits than its factorization.

1376083924992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 1376083924992 in words is "one trillion, three hundred seventy-six billion, eighty-three million, nine hundred twenty-four thousand, nine hundred ninety-two".