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257045064840 = 23325714014069
BaseRepresentation
bin1110111101100100010…
…1000110110010001000
3220120110220122020020200
43233121011012302020
513202412014033330
6314030155452200
724366550000254
oct3573105066210
9816426566220
10257045064840
119a015268793
1241997a57060
131b315812b05
14c62633d264
156a46585a60
hex3bd9146c88

257045064840 has 48 divisors (see below), whose sum is σ = 835396461900. Its totient is φ = 68545350528.

The previous prime is 257045064833. The next prime is 257045064841. The reversal of 257045064840 is 48460540752.

It can be written as a sum of positive squares in 2 ways, for example, as 242176188996 + 14868875844 = 492114^2 + 121938^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (257045064841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357006675 + ... + 357007394.

Almost surely, 2257045064840 is an apocalyptic number.

257045064840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257045064840 is an abundant number, since it is smaller than the sum of its proper divisors (578351397060).

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

257045064840 is a wasteful number, since it uses less digits than its factorization.

257045064840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714014086 (or 714014079 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 257045064840 in words is "two hundred fifty-seven billion, forty-five million, sixty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 714014069 1428028138 2142042207 2856056276 3570070345 4284084414 5712112552 6426126621 7140140690 8568168828 10710211035 12852253242 14280281380 17136337656 21420422070 25704506484 28560562760 32130633105 42840844140 51409012968 64261266210 85681688280 128522532420 257045064840