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2025023746240 = 2651123713910169
BaseRepresentation
bin11101011101111100110…
…100100011000011000000
321011120221101102212111101
4131131330310203003000
5231134222034334430
64150141050424144
7266205655560325
oct35357464430300
97146841385441
102025023746240
11710898126800
12288568432054
13118c60993201
1470024058b4c
1537a1ece0dca
hex1d77cd230c0

2025023746240 has 336 divisors, whose sum is σ = 5483264522400. Its totient is φ = 711245905920.

The previous prime is 2025023746237. The next prime is 2025023746253. The reversal of 2025023746240 is 426473205202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 2025023746240.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199131876 + ... + 199142044.

It is an arithmetic number, because the mean of its divisors is an integer number (16319239650).

Almost surely, 22025023746240 is an apocalyptic number.

2025023746240 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 2025023746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741632261200).

2025023746240 is an abundant number, since it is smaller than the sum of its proper divisors (3458240776160).

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

2025023746240 is a wasteful number, since it uses less digits than its factorization.

2025023746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10384 (or 10363 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 37.

The spelling of 2025023746240 in words is "two trillion, twenty-five billion, twenty-three million, seven hundred forty-six thousand, two hundred forty".