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2025920225016 = 2333192938943759
BaseRepresentation
bin11101011110110010010…
…000010101111011111000
321011200020212022201012000
4131132302100111323320
5231143041034200031
64150410033221000
7266240122532142
oct35366220257370
97150225281160
102025920225016
11711208173556
12288778701760
13119074625c1c
14700ab139c92
1537a738743e6
hex1d7b2415ef8

2025920225016 has 256 divisors, whose sum is σ = 6143904000000. Its totient is φ = 616101437952.

The previous prime is 2025920225009. The next prime is 2025920225023. The reversal of 2025920225016 is 6105220295202.

It is a happy number.

2025920225016 is a `hidden beast` number, since 2 + 0 + 2 + 592 + 0 + 2 + 2 + 50 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (2025920225009) and next prime (2025920225023).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46275345 + ... + 46319103.

It is an arithmetic number, because the mean of its divisors is an integer number (23999625000).

Almost surely, 22025920225016 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 2025920225016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071952000000).

2025920225016 is an abundant number, since it is smaller than the sum of its proper divisors (4117983774984).

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

2025920225016 is a wasteful number, since it uses less digits than its factorization.

2025920225016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44211 (or 44201 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2025920225016 in words is "two trillion, twenty-five billion, nine hundred twenty million, two hundred twenty-five thousand, sixteen".