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12381720552 = 2332374647793
BaseRepresentation
bin10111000100000001…
…00000111111101000
31011221220101120111200
423202000200333220
5200324210024202
65404343124200
7615554613435
oct134200407750
934856346450
1012381720552
115284181a03
122496743660
131224275b86
148565c4b8c
154c7022e1c
hex2e2020fe8

12381720552 has 48 divisors (see below), whose sum is σ = 34440153540. Its totient is φ = 4015692288.

The previous prime is 12381720539. The next prime is 12381720553. The reversal of 12381720552 is 25502718321.

12381720552 is a `hidden beast` number, since 1 + 2 + 3 + 81 + 7 + 20 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10988490276 + 1393230276 = 104826^2 + 37326^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12381720553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2321233 + ... + 2326560.

Almost surely, 212381720552 is an apocalyptic number.

12381720552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12381720552 is an abundant number, since it is smaller than the sum of its proper divisors (22058432988).

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

12381720552 is a wasteful number, since it uses less digits than its factorization.

12381720552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4647842 (or 4647835 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 12381720552 in words is "twelve billion, three hundred eighty-one million, seven hundred twenty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 4647793 9295586 13943379 18591172 27886758 37182344 41830137 55773516 83660274 111547032 167320548 171968341 334641096 343936682 515905023 687873364 1031810046 1375746728 1547715069 2063620092 3095430138 4127240184 6190860276 12381720552