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1379340591552 = 263471117317983
BaseRepresentation
bin10100000100100111000…
…110110010000111000000
311212212022121200002220000
4110010213012302013000
5140044342142412202
62533354343520000
7201440226402360
oct24044706620700
94785277602800
101379340591552
11491a7a893a10
121a33aa459000
13a00c0732a31
144aa909149a0
1525d2e58d91c
hex141271b21c0

1379340591552 has 2240 divisors, whose sum is σ = 5710210007040. Its totient is φ = 318305894400.

The previous prime is 1379340591547. The next prime is 1379340591647. The reversal of 1379340591552 is 2551950439731.

It is a happy number.

1379340591552 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 3 + 40 + 591 + 5 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16618561303 + ... + 16618561385.

It is an arithmetic number, because the mean of its divisors is an integer number (2549200896).

Almost surely, 21379340591552 is an apocalyptic number.

1379340591552 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 1379340591552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855105003520).

1379340591552 is an abundant number, since it is smaller than the sum of its proper divisors (4330869415488).

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

1379340591552 is a wasteful number, since it uses less digits than its factorization.

1379340591552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 1379340591552 in words is "one trillion, three hundred seventy-nine billion, three hundred forty million, five hundred ninety-one thousand, five hundred fifty-two".