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1481504345680 = 24532941562181
BaseRepresentation
bin10101100011110000100…
…010100100111001010000
312020122000120210112210111
4111203300202210321100
5143233110103030210
63052332123411104
7212015026106062
oct25436042447120
95218016715714
101481504345680
11521336642567
121bb160983a94
13a99225c2c58
14519c3099732
152880d73588a
hex158f08a4e50

1481504345680 has 40 divisors (see below), whose sum is σ = 3444608296584. Its totient is φ = 592582694400.

The previous prime is 1481504345611. The next prime is 1481504345681. The reversal of 1481504345680 is 865434051841.

It can be written as a sum of positive squares in 4 ways, for example, as 491574863376 + 989929482304 = 701124^2 + 994952^2 .

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

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1481504345681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2354190 + ... + 2916370.

Almost surely, 21481504345680 is an apocalyptic number.

1481504345680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1481504345680 is an abundant number, since it is smaller than the sum of its proper divisors (1963103950904).

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

1481504345680 is a wasteful number, since it uses less digits than its factorization.

1481504345680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595135 (or 595129 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 49.

The spelling of 1481504345680 in words is "one trillion, four hundred eighty-one billion, five hundred four million, three hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 32941 65882 131764 164705 263528 329410 527056 562181 658820 1124362 1317640 2248724 2635280 2810905 4497448 5621810 8994896 11243620 22487240 44974480 18518804321 37037608642 74075217284 92594021605 148150434568 185188043210 296300869136 370376086420 740752172840 1481504345680