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54869462605440 = 27335743167181349
BaseRepresentation
bin11000111100111010010101…
…10100111101111010000000
321012021110200012010200012000
430132131022310331322000
524142440124411333230
6312410403320304000
714362121301555030
oct1436351264757200
9235243605120160
1054869462605440
1116535010218a8a
1261a20a0012000
132480225496972
14d799a63978c0
15652432269b60
hex31e74ad3de80

54869462605440 has 2048 divisors, whose sum is σ = 230538147840000. Its totient is φ = 12074602659840.

The previous prime is 54869462605439. The next prime is 54869462605493. The reversal of 54869462605440 is 4450626496845.

54869462605440 is a `hidden beast` number, since 5 + 4 + 8 + 69 + 4 + 6 + 26 + 0 + 544 + 0 = 666.

54869462605440 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 157219090386 + ... + 157219090734.

It is an arithmetic number, because the mean of its divisors is an integer number (112567455000).

Almost surely, 254869462605440 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 54869462605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115269073920000).

54869462605440 is an abundant number, since it is smaller than the sum of its proper divisors (175668685234560).

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

54869462605440 is a wasteful number, since it uses less digits than its factorization.

54869462605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 54869462605440 in words is "fifty-four trillion, eight hundred sixty-nine billion, four hundred sixty-two million, six hundred five thousand, four hundred forty".