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2055108464640 = 21235571131173
BaseRepresentation
bin11101111001111110000…
…000101001000000000000
321021110121001010220200000
4131321332000221000000
5232132330231332030
64212034230400000
7301322334503520
oct35717600510000
97243531126600
102055108464640
11722626173a40
12292363800000
1311ba4677b22a
1471679837680
15386d10a1860
hex1de7e029000

2055108464640 has 2496 divisors, whose sum is σ = 9562248364032. Its totient is φ = 410871398400.

The previous prime is 2055108464627. The next prime is 2055108464701. The reversal of 2055108464640 is 464648015502.

It is a happy number.

2055108464640 is a `hidden beast` number, since 20 + 5 + 5 + 108 + 464 + 64 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 11879239594 + ... + 11879239766.

It is an arithmetic number, because the mean of its divisors is an integer number (3831028992).

Almost surely, 22055108464640 is an apocalyptic number.

2055108464640 is a gapful number since it is divisible by the number (20) 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 2055108464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781124182016).

2055108464640 is an abundant number, since it is smaller than the sum of its proper divisors (7507139899392).

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

2055108464640 is a wasteful number, since it uses less digits than its factorization.

2055108464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 2055108464640 in words is "two trillion, fifty-five billion, one hundred eight million, four hundred sixty-four thousand, six hundred forty".