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2575470816 = 25342343201
BaseRepresentation
bin1001100110000010…
…1001000011100000
320122111012110210000
42121200221003200
520233310031231
61103321140000
7120552066162
oct23140510340
96574173700
102575470816
111101871386
125ba62a600
13320765139
141a6098932
151011876e6
hex998290e0

2575470816 has 120 divisors (see below), whose sum is σ = 7903892304. Its totient is φ = 821145600.

The previous prime is 2575470769. The next prime is 2575470823. The reversal of 2575470816 is 6180745752.

2575470816 is a `hidden beast` number, since 2 + 575 + 4 + 70 + 8 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38016 + ... + 81216.

Almost surely, 22575470816 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 2575470816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951946152).

2575470816 is an abundant number, since it is smaller than the sum of its proper divisors (5328421488).

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

2575470816 is a wasteful number, since it uses less digits than its factorization.

2575470816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43246 (or 43229 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 2575470816 is about 50749.0967013207. The cubic root of 2575470816 is about 1370.7309250779.

The spelling of 2575470816 in words is "two billion, five hundred seventy-five million, four hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 648 736 828 864 1104 1242 1296 1656 1863 2208 2484 2592 3312 3726 4968 6624 7452 9936 14904 19872 29808 43201 59616 86402 129603 172804 259206 345608 388809 518412 691216 777618 993623 1036824 1166427 1382432 1555236 1987246 2073648 2332854 2980869 3110472 3499281 3974492 4147296 4665708 5961738 6220944 6998562 7948984 8942607 9331416 11923476 12441888 13997124 15897968 17885214 18662832 23846952 26827821 27994248 31795936 35770428 37325664 47693904 53655642 55988496 71540856 80483463 95387808 107311284 111976992 143081712 160966926 214622568 286163424 321933852 429245136 643867704 858490272 1287735408 2575470816