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55346639040 = 2634571122521
BaseRepresentation
bin110011100010111010…
…101011000011000000
312021212012110120120000
4303202322223003000
51401322214422130
641231554320000
73666353445450
oct634272530300
9167765416500
1055346639040
112152180a100
12a887589000
1352b0678a74
142970865d60
15168de6e260
hexce2eab0c0

55346639040 has 840 divisors, whose sum is σ = 247415584416. Its totient is φ = 11496038400.

The previous prime is 55346639027. The next prime is 55346639059. The reversal of 55346639040 is 4093664355.

55346639040 is a `hidden beast` number, since 5 + 5 + 3 + 4 + 6 + 639 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21952980 + ... + 21955500.

Almost surely, 255346639040 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 55346639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123707792208).

55346639040 is an abundant number, since it is smaller than the sum of its proper divisors (192068945376).

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

55346639040 is a wasteful number, since it uses less digits than its factorization.

55346639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 55346639040 in words is "fifty-five billion, three hundred forty-six million, six hundred thirty-nine thousand, forty".