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12454985088 = 273471343307
BaseRepresentation
bin10111001100101111…
…11111110110000000
31012011000020210120000
423212113333312000
5201001434010323
65415521320000
7620434424610
oct134627776600
935130223500
1012454985088
115311572707
1224b7196000
1312364b8580
14862216a40
154cd695e43
hex2e65ffd80

12454985088 has 640 divisors, whose sum is σ = 46832459520. Its totient is φ = 3197988864.

The previous prime is 12454985027. The next prime is 12454985099. The reversal of 12454985088 is 88058945421.

12454985088 is a `hidden beast` number, since 1 + 2 + 45 + 4 + 98 + 508 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40569831 + ... + 40570137.

It is an arithmetic number, because the mean of its divisors is an integer number (73175718).

Almost surely, 212454985088 is an apocalyptic number.

12454985088 is a gapful number since it is divisible by the number (18) 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 12454985088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23416229760).

12454985088 is an abundant number, since it is smaller than the sum of its proper divisors (34377474432).

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

12454985088 is a wasteful number, since it uses less digits than its factorization.

12454985088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 12454985088 in words is "twelve billion, four hundred fifty-four million, nine hundred eighty-five thousand, eighty-eight".