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1349760957363 = 3974134
BaseRepresentation
bin10011101001000100000…
…001011011101110110011
311210000222011101000000000
4103221010001123232303
5134103302301113423
62512023245401043
7166342222560000
oct23510401335663
94700864330000
101349760957363
11480480965a45
12199714269183
139a388490000
14494862528a7
152519c7ec843
hex13a4405bbb3

1349760957363 has 250 divisors, whose sum is σ = 2558719337284. Its totient is φ = 711961823664.

The previous prime is 1349760957359. The next prime is 1349760957371. The reversal of 1349760957363 is 3637590679431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1349760957363 is a `hidden beast` number, since 1 + 3 + 497 + 60 + 9 + 57 + 36 + 3 = 666.

It is not a de Polignac number, because 1349760957363 - 22 = 1349760957359 is a prime.

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

It is a Duffinian number.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 1349760957363 = 26913 + 109983 = 73713 + 98283.

It is a self number, because there is not a number n which added to its sum of digits gives 1349760957363.

It is not an unprimeable number, because it can be changed into a prime (1349760957373) by changing a digit.

It is a polite number, since it can be written in 249 ways as a sum of consecutive naturals, for example, 103827765945 + ... + 103827765957.

Almost surely, 21349760957363 is an apocalyptic number.

1349760957363 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1349760957363 is a deficient number, since it is larger than the sum of its proper divisors (1208958379921).

1349760957363 is an frugal number, since it uses more digits than its factorization.

1349760957363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 63.

The spelling of 1349760957363 in words is "one trillion, three hundred forty-nine billion, seven hundred sixty million, nine hundred fifty-seven thousand, three hundred sixty-three".