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455462746140 = 22351012692711031
BaseRepresentation
bin1101010000010111011…
…00011111100000011100
31121112121222111210112210
412220023230133200130
524430241430334030
6545123043200420
744622535315233
oct6501354374034
91545558453483
10455462746140
11166184934486
1274331676110
1333c4707a11c
141808a20db1a
15bcaab4ebb0
hex6a0bb1f81c

455462746140 has 192 divisors, whose sum is σ = 1298738810880. Its totient is φ = 119249280000.

The previous prime is 455462746133. The next prime is 455462746163. The reversal of 455462746140 is 41647264554.

It is a self number, because there is not a number n which added to its sum of digits gives 455462746140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 441767425 + ... + 441768455.

It is an arithmetic number, because the mean of its divisors is an integer number (6764264640).

Almost surely, 2455462746140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455462746140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649369405440).

455462746140 is an abundant number, since it is smaller than the sum of its proper divisors (843276064740).

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

455462746140 is a wasteful number, since it uses less digits than its factorization.

455462746140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 455462746140 in words is "four hundred fifty-five billion, four hundred sixty-two million, seven hundred forty-six thousand, one hundred forty".