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12351453828672 = 263771181171473
BaseRepresentation
bin1011001110111100110000…
…0001001001011001000000
31121201210021001110110011210
42303233030001021121000
53104331234140004142
642134102441210120
72413235353165230
oct263571401113100
947653231413153
1012351453828672
113a32249759152
121475964a90940
136b797753595a
14309b56575cc0
151664528ed49c
hexb3bcc049640

12351453828672 has 224 divisors, whose sum is σ = 37895921915904. Its totient is φ = 3477312921600.

The previous prime is 12351453828667. The next prime is 12351453828697. The reversal of 12351453828672 is 27682835415321.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172777128 + ... + 172848600.

Almost surely, 212351453828672 is an apocalyptic number.

12351453828672 is a gapful number since it is divisible by the number (12) 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 12351453828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18947960957952).

12351453828672 is an abundant number, since it is smaller than the sum of its proper divisors (25544468087232).

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

12351453828672 is a wasteful number, since it uses less digits than its factorization.

12351453828672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73377 (or 73367 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 57.

The spelling of 12351453828672 in words is "twelve trillion, three hundred fifty-one billion, four hundred fifty-three million, eight hundred twenty-eight thousand, six hundred seventy-two".