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1377109025676 = 223619311575107
BaseRepresentation
bin10100000010100010000…
…110000010001110001100
311212122120002120211000000
4110002202012002032030
5140030304402310201
62532345105404300
7201331021403406
oct24024206021614
94778502524000
101377109025676
1149103516449a
121a2a87039690
139cb262cb757
144a91c3bbb76
1525c4d6d8d86
hex140a218238c

1377109025676 has 336 divisors, whose sum is σ = 3951901864960. Its totient is φ = 418085815680.

The previous prime is 1377109025671. The next prime is 1377109025687. The reversal of 1377109025676 is 6765209017731.

1377109025676 is a `hidden beast` number, since 1 + 3 + 7 + 71 + 0 + 9 + 0 + 2 + 567 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1377109025671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 269648715 + ... + 269653821.

Almost surely, 21377109025676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377109025676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975950932480).

1377109025676 is an abundant number, since it is smaller than the sum of its proper divisors (2574792839284).

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

1377109025676 is a wasteful number, since it uses less digits than its factorization.

1377109025676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 1377109025676 in words is "one trillion, three hundred seventy-seven billion, one hundred nine million, twenty-five thousand, six hundred seventy-six".