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257545706434780 = 22517757487371867
BaseRepresentation
bin111010100011110010001000…
…010110000111000011011100
31020202220010111002200110201211
4322203302020112013003130
5232224112101321403110
62311430510355114204
7105151030460335441
oct7243621026070334
91222803432613654
10257545706434780
1175075580097115
1224a760bbba2964
13b0925c081c60a
1447853c8a879c8
151eb954c9b398a
hexea3c885870dc

257545706434780 has 24 divisors (see below), whose sum is σ = 572660453132208. Its totient is φ = 96958383598848.

The previous prime is 257545706434691. The next prime is 257545706434789. The reversal of 257545706434780 is 87434607545752.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257545706434789) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378743685594 + ... + 378743686273.

It is an arithmetic number, because the mean of its divisors is an integer number (23860852213842).

Almost surely, 2257545706434780 is an apocalyptic number.

257545706434780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257545706434780 is an abundant number, since it is smaller than the sum of its proper divisors (315114746697428).

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

257545706434780 is a wasteful number, since it uses less digits than its factorization.

257545706434780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757487371893 (or 757487371891 counting only the distinct ones).

The product of its (nonzero) digits is 790272000, while the sum is 67.

The spelling of 257545706434780 in words is "two hundred fifty-seven trillion, five hundred forty-five billion, seven hundred six million, four hundred thirty-four thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 757487371867 1514974743734 3029949487468 3787436859335 7574873718670 12877285321739 15149747437340 25754570643478 51509141286956 64386426608695 128772853217390 257545706434780