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2094212064 = 253716718661
BaseRepresentation
bin111110011010011…
…0010001111100000
312101221121222212210
41330310302033200
513242104241224
6543450122120
7102616336350
oct17464621740
95357558783
102094212064
1198514557a
124a5420340
13274b42549
1415c1c0b60
15c3cc2429
hex7cd323e0

2094212064 has 96 divisors (see below), whose sum is σ = 6320595456. Its totient is φ = 594731520.

The previous prime is 2094212059. The next prime is 2094212069. The reversal of 2094212064 is 4602124902.

It is an interprime number because it is at equal distance from previous prime (2094212059) and next prime (2094212069).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2094212069) 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, 102894 + ... + 121554.

It is an arithmetic number, because the mean of its divisors is an integer number (65839536).

Almost surely, 22094212064 is an apocalyptic number.

2094212064 is a gapful number since it is divisible by the number (24) 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 2094212064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160297728).

2094212064 is an abundant number, since it is smaller than the sum of its proper divisors (4226383392).

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

2094212064 is a wasteful number, since it uses less digits than its factorization.

2094212064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18848 (or 18840 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2094212064 is about 45762.5618164018. The cubic root of 2094212064 is about 1279.4015887707.

Adding to 2094212064 its reverse (4602124902), we get a palindrome (6696336966).

The spelling of 2094212064 in words is "two billion, ninety-four million, two hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 167 168 224 334 336 501 668 672 1002 1169 1336 2004 2338 2672 3507 4008 4676 5344 7014 8016 9352 14028 16032 18661 18704 28056 37322 37408 55983 56112 74644 111966 112224 130627 149288 223932 261254 298576 391881 447864 522508 597152 783762 895728 1045016 1567524 1791456 2090032 3116387 3135048 4180064 6232774 6270096 9349161 12465548 12540192 18698322 21814709 24931096 37396644 43629418 49862192 65444127 74793288 87258836 99724384 130888254 149586576 174517672 261776508 299173152 349035344 523553016 698070688 1047106032 2094212064