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2945931016 = 2374110312457
BaseRepresentation
bin1010111110010111…
…0101011100001000
321121022021210122011
42233211311130020
522013124243031
61204153305304
7133001000110
oct25745653410
97538253564
102945931016
1112819a0636
126a2705234
1337c433062
141dd370040
151239636b1
hexaf975708

2945931016 has 64 divisors (see below), whose sum is σ = 6529985280. Its totient is φ = 1219691520.

The previous prime is 2945931007. The next prime is 2945931047. The reversal of 2945931016 is 6101395492.

It is a self number, because there is not a number n which added to its sum of digits gives 2945931016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230260 + ... + 242716.

It is an arithmetic number, because the mean of its divisors is an integer number (102031020).

Almost surely, 22945931016 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 2945931016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264992640).

2945931016 is an abundant number, since it is smaller than the sum of its proper divisors (3584054264).

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

2945931016 is a wasteful number, since it uses less digits than its factorization.

2945931016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12614 (or 12610 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 2945931016 is about 54276.4314965529. The cubic root of 2945931016 is about 1433.5324369288.

The spelling of 2945931016 in words is "two billion, nine hundred forty-five million, nine hundred thirty-one thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 41 56 82 103 164 206 287 328 412 574 721 824 1148 1442 2296 2884 4223 5768 8446 12457 16892 24914 29561 33784 49828 59122 87199 99656 118244 174398 236488 348796 510737 697592 1021474 1283071 2042948 2566142 3575159 4085896 5132284 7150318 8981497 10264568 14300636 17962994 28601272 35925988 52605911 71851976 105211822 210423644 368241377 420847288 736482754 1472965508 2945931016