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2545034394672 = 243471149951109
BaseRepresentation
bin100101000010001111110…
…111101111110000110000
3100000022011211012211220000
4211002033313233300300
5313144212301112142
65225101143350000
7351605216263620
oct45021767576060
910008154184800
102545034394672
118a1385626580
123512b2a52300
13155cc3776653
148b274b36880
154630759514c
hex2508fdefc30

2545034394672 has 400 divisors, whose sum is σ = 9202253280000. Its totient is φ = 659710241280.

The previous prime is 2545034394667. The next prime is 2545034394689. The reversal of 2545034394672 is 2764934305452.

2545034394672 is a `hidden beast` number, since 2 + 5 + 4 + 503 + 43 + 94 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 49770654 + ... + 49821762.

It is an arithmetic number, because the mean of its divisors is an integer number (23005633200).

Almost surely, 22545034394672 is an apocalyptic number.

2545034394672 is a gapful number since it is divisible by the number (22) 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 2545034394672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601126640000).

2545034394672 is an abundant number, since it is smaller than the sum of its proper divisors (6657218885328).

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

2545034394672 is a wasteful number, since it uses less digits than its factorization.

2545034394672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51646 (or 51631 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 2545034394672 in words is "two trillion, five hundred forty-five billion, thirty-four million, three hundred ninety-four thousand, six hundred seventy-two".