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1468146680080 = 24540897448733
BaseRepresentation
bin10101010111010100010…
…111001000000100010000
312012100112122222211100221
4111113110113020010100
5143023231022230310
63042242434322424
7211033020606433
oct25272427100420
95170478884327
101468146680080
11516701587703
121b8653429414
13a85a40b2c02
14510b702981a
15282cabd3ada
hex155d45c8110

1468146680080 has 40 divisors (see below), whose sum is σ = 3413532102552. Its totient is φ = 587243003904.

The previous prime is 1468146680071. The next prime is 1468146680087. The reversal of 1468146680080 is 800866418641.

It can be written as a sum of positive squares in 4 ways, for example, as 807496337664 + 660650342416 = 898608^2 + 812804^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1468146680087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3047394 + ... + 3496126.

Almost surely, 21468146680080 is an apocalyptic number.

1468146680080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1468146680080 is an abundant number, since it is smaller than the sum of its proper divisors (1945385422472).

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

1468146680080 is a wasteful number, since it uses less digits than its factorization.

1468146680080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489643 (or 489637 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 52.

The spelling of 1468146680080 in words is "one trillion, four hundred sixty-eight billion, one hundred forty-six million, six hundred eighty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 40897 81794 163588 204485 327176 408970 448733 654352 817940 897466 1635880 1794932 2243665 3271760 3589864 4487330 7179728 8974660 17949320 35898640 18351833501 36703667002 73407334004 91759167505 146814668008 183518335010 293629336016 367036670020 734073340040 1468146680080