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54468868608 = 293471137461
BaseRepresentation
bin110010101110100110…
…001111101000000000
312012121000210012220000
4302232212033220000
51343023012243413
641004520520000
73635534513130
oct625646175000
9165530705800
1054468868608
11211112901a0
12a681620000
1351a086658b
1428ca054ac0
15163bd84073
hexcae98fa00

54468868608 has 800 divisors, whose sum is σ = 208620897408. Its totient is φ = 13735526400.

The previous prime is 54468868589. The next prime is 54468868613. The reversal of 54468868608 is 80686886445.

54468868608 is a `hidden beast` number, since 54 + 468 + 8 + 68 + 60 + 8 = 666.

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

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, 118153498 + ... + 118153958.

Almost surely, 254468868608 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 54468868608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104310448704).

54468868608 is an abundant number, since it is smaller than the sum of its proper divisors (154152028800).

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

54468868608 is a wasteful number, since it uses less digits than its factorization.

54468868608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 54468868608 in words is "fifty-four billion, four hundred sixty-eight million, eight hundred sixty-eight thousand, six hundred eight".