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2945942912 = 27114434723
BaseRepresentation
bin1010111110010111…
…1000010110000000
321121022022101221202
42233211320112000
522013130133122
61204153440332
7133001046563
oct25745702600
97538271852
102945942912
1112819a9570
126a27100a8
1337c4385b3
141dd3744da
15123966e92
hexaf978580

2945942912 has 64 divisors (see below), whose sum is σ = 6418215360. Its totient is φ = 1335759360.

The previous prime is 2945942911. The next prime is 2945942953. The reversal of 2945942912 is 2192495492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2945942911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 621383 + ... + 626105.

It is an arithmetic number, because the mean of its divisors is an integer number (100284615).

Almost surely, 22945942912 is an apocalyptic number.

2945942912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2945942912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209107680).

2945942912 is an abundant number, since it is smaller than the sum of its proper divisors (3472272448).

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

2945942912 is a wasteful number, since it uses less digits than its factorization.

2945942912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5191 (or 5179 counting only the distinct ones).

The product of its digits is 466560, while the sum is 47.

The square root of 2945942912 is about 54276.5410836026. The cubic root of 2945942912 is about 1433.5343665145.

The spelling of 2945942912 in words is "two billion, nine hundred forty-five million, nine hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 443 704 886 1408 1772 3544 4723 4873 7088 9446 9746 14176 18892 19492 28352 37784 38984 51953 56704 75568 77968 103906 151136 155936 207812 302272 311872 415624 604544 623744 831248 1662496 2092289 3324992 4184578 6649984 8369156 16738312 23015179 33476624 46030358 66953248 92060716 133906496 184121432 267812992 368242864 736485728 1472971456 2945942912