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2054345656 = 23111011811277
BaseRepresentation
bin111101001110010…
…1101001110111000
312022011121120110011
41322130231032320
513201403030111
6535503431304
7101623435636
oct17234551670
95264546404
102054345656
11964696330
12493bb5534
132697c475c
14156ba4356
15c054a021
hex7a72d3b8

2054345656 has 64 divisors (see below), whose sum is σ = 4270462560. Its totient is φ = 918720000.

The previous prime is 2054345651. The next prime is 2054345659. The reversal of 2054345656 is 6565434502.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054345651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1608090 + ... + 1609366.

Almost surely, 22054345656 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 2054345656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135231280).

2054345656 is an abundant number, since it is smaller than the sum of its proper divisors (2216116904).

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

2054345656 is a wasteful number, since it uses less digits than its factorization.

2054345656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The square root of 2054345656 is about 45324.8900274452. The cubic root of 2054345656 is about 1271.2310909450.

The spelling of 2054345656 in words is "two billion, fifty-four million, three hundred forty-five thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 88 101 181 202 362 404 724 808 1111 1277 1448 1991 2222 2554 3982 4444 5108 7964 8888 10216 14047 15928 18281 28094 36562 56188 73124 112376 128977 146248 201091 231137 257954 402182 462274 515908 804364 924548 1031816 1418747 1608728 1849096 2542507 2837494 5085014 5674988 10170028 11349976 20340056 23344837 46689674 93379348 186758696 256793207 513586414 1027172828 2054345656