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1379005605120 = 2835111322337227
BaseRepresentation
bin10100000100010011001…
…000111010010100000000
311212211110021100000220010
4110010103020322110000
5140043200413330440
62533301215544520
7201426021145503
oct24042310722400
94784407300803
101379005605120
11491918793720
121a331622b140
13a0069205400
144aa5c23513a
1525d0ee6d580
hex1411323a500

1379005605120 has 1728 divisors, whose sum is σ = 5600079120384. Its totient is φ = 285928980480.

The previous prime is 1379005605067. The next prime is 1379005605127. The reversal of 1379005605120 is 215065009731.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1379005605127) 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 191 ways as a sum of consecutive naturals, for example, 6074914447 + ... + 6074914673.

It is an arithmetic number, because the mean of its divisors is an integer number (3240786528).

Almost surely, 21379005605120 is an apocalyptic number.

1379005605120 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 1379005605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800039560192).

1379005605120 is an abundant number, since it is smaller than the sum of its proper divisors (4221073515264).

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

1379005605120 is a wasteful number, since it uses less digits than its factorization.

1379005605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The spelling of 1379005605120 in words is "one trillion, three hundred seventy-nine billion, five million, six hundred five thousand, one hundred twenty".