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2025771503616 = 21234723532
BaseRepresentation
bin11101011110101001011…
…001000001000000000000
321011122212111110212210000
4131132221121001000000
5231142240001103431
64150343201440000
7266233335446100
oct35365131010000
97148774425700
102025771503616
11711141224a03
12288736940000
1311904c883cb3
14700954a5200
1537a657989e6
hex1d7a9641000

2025771503616 has 585 divisors, whose sum is σ = 7059575621901. Its totient is φ = 577152221184.

The previous prime is 2025771503611. The next prime is 2025771503621. The reversal of 2025771503616 is 6163051775202.

It is a happy number.

The square root of 2025771503616 is 1423296.

It is a perfect power (a square), and thus also a powerful number.

2025771503616 is a `hidden beast` number, since 2 + 0 + 2 + 577 + 15 + 0 + 3 + 61 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2025771503611) and next prime (2025771503621).

It can be written as a sum of positive squares in only one way, i.e., 823011840000 + 1202759663616 = 907200^2 + 1096704^2 .

It is not an unprimeable number, because it can be changed into a prime (2025771503611) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5738729296 + ... + 5738729648.

Almost surely, 22025771503616 is an apocalyptic number.

2025771503616 is the 1423296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2025771503616

2025771503616 is an abundant number, since it is smaller than the sum of its proper divisors (5033804118285).

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

2025771503616 is an frugal number, since it uses more digits than its factorization.

2025771503616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 2025771503616 in words is "two trillion, twenty-five billion, seven hundred seventy-one million, five hundred three thousand, six hundred sixteen".