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4265824346112 = 213371923179317
BaseRepresentation
bin111110000100110110111…
…100011110000000000000
3120002210211122002122000110
4332010312330132000000
51024342402013033422
613023405340151320
7620124050445540
oct76046674360000
916083748078013
104265824346112
1113a51426a730a
1258a8b3b38540
1324c35b42bc24
1410a67763b320
1575e6d16e60c
hex3e136f1e000

4265824346112 has 896 divisors, whose sum is σ = 14404038451200. Its totient is φ = 1094821871616.

The previous prime is 4265824346087. The next prime is 4265824346123. The reversal of 4265824346112 is 2116434285624.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13456858978 + ... + 13456859294.

Almost surely, 24265824346112 is an apocalyptic number.

4265824346112 is a gapful number since it is divisible by the number (42) 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 4265824346112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7202019225600).

4265824346112 is an abundant number, since it is smaller than the sum of its proper divisors (10138214105088).

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

4265824346112 is a wasteful number, since it uses less digits than its factorization.

4265824346112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 550 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The spelling of 4265824346112 in words is "four trillion, two hundred sixty-five billion, eight hundred twenty-four million, three hundred forty-six thousand, one hundred twelve".