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12462574740 = 22357211312401
BaseRepresentation
bin10111001101101001…
…11100110010010100
31012011112112101121020
423212310330302110
5201010404342430
65420352121140
7620556065100
oct134664746224
935145471536
1012462574740
115315886950
1224b98361b0
131237c44ca5
14863230900
154ce194b10
hex2e6d3cc94

12462574740 has 432 divisors, whose sum is σ = 45871261632. Its totient is φ = 2499840000.

The previous prime is 12462574739. The next prime is 12462574781. The reversal of 12462574740 is 4747526421.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12462574692 and 12462574701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31078540 + ... + 31078940.

It is an arithmetic number, because the mean of its divisors is an integer number (106183476).

Almost surely, 212462574740 is an apocalyptic number.

12462574740 is a gapful number since it is divisible by the number (10) 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 12462574740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22935630816).

12462574740 is an abundant number, since it is smaller than the sum of its proper divisors (33408686892).

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

12462574740 is a wasteful number, since it uses less digits than its factorization.

12462574740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 12462574740 in words is "twelve billion, four hundred sixty-two million, five hundred seventy-four thousand, seven hundred forty".