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2057347782 = 233715734667
BaseRepresentation
bin111101010100000…
…1010001011000110
312022101021002121000
41322220022023012
513203140112112
6540052034130
7101661111330
oct17250121306
95271232530
102057347782
11966356926
12495002946
1326a306069
14157346450
15c093e7dc
hex7aa0a2c6

2057347782 has 64 divisors (see below), whose sum is σ = 5258442240. Its totient is φ = 584052768.

The previous prime is 2057347751. The next prime is 2057347811. The reversal of 2057347782 is 2877437502.

2057347782 is a `hidden beast` number, since 2 + 0 + 573 + 4 + 7 + 78 + 2 = 666.

It is a super-2 number, since 2×20573477822 = 8465359792200639048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42013 + ... + 76679.

It is an arithmetic number, because the mean of its divisors is an integer number (82163160).

Almost surely, 22057347782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057347782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629221120).

2057347782 is an abundant number, since it is smaller than the sum of its proper divisors (3201094458).

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

2057347782 is a wasteful number, since it uses less digits than its factorization.

2057347782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34842 (or 34836 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 2057347782 is about 45357.9957890558. The cubic root of 2057347782 is about 1271.8500290437.

The spelling of 2057347782 in words is "two billion, fifty-seven million, three hundred forty-seven thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 157 189 314 378 471 942 1099 1413 2198 2826 3297 4239 6594 8478 9891 19782 29673 34667 59346 69334 104001 208002 242669 312003 485338 624006 728007 936009 1456014 1872018 2184021 4368042 5442719 6552063 10885438 13104126 16328157 32656314 38099033 48984471 76198066 97968942 114297099 146953413 228594198 293906826 342891297 685782594 1028673891 2057347782