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2045756349 = 327132497871
BaseRepresentation
bin111100111101111…
…1100001110111101
312021120110012010200
41321323330032331
513142203200344
6534555354113
7101460433140
oct17173741675
95246405120
102045756349
1195a85a02a
12491152939
13267aa8020
141559aa057
15be900069
hex79efc3bd

2045756349 has 24 divisors (see below), whose sum is σ = 3636901632. Its totient is φ = 1079079840.

The previous prime is 2045756341. The next prime is 2045756351. The reversal of 2045756349 is 9436575402.

2045756349 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 7 + 5 + 634 + 9 = 666.

It is not a de Polignac number, because 2045756349 - 23 = 2045756341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045756341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1248117 + ... + 1249754.

It is an arithmetic number, because the mean of its divisors is an integer number (151537568).

Almost surely, 22045756349 is an apocalyptic number.

It is an amenable number.

2045756349 is a deficient number, since it is larger than the sum of its proper divisors (1591145283).

2045756349 is a wasteful number, since it uses less digits than its factorization.

2045756349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497897 (or 2497894 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 2045756349 is about 45230.0381273330. The cubic root of 2045756349 is about 1269.4569255125.

The spelling of 2045756349 in words is "two billion, forty-five million, seven hundred fifty-six thousand, three hundred forty-nine".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 2497871 7493613 17485097 22480839 32472323 52455291 97416969 157365873 227306261 292250907 681918783 2045756349