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2664869616 = 2432314313883
BaseRepresentation
bin1001111011010110…
…1010111011110000
320212201102101212200
42132311222323300
520424201311431
61120233223200
7123016006113
oct23665527360
96781371780
102664869616
111148281a92
12624561b00
13336136536
141b3cca57a
15108e45ee6
hex9ed6aef0

2664869616 has 120 divisors (see below), whose sum is σ = 7878114816. Its totient is φ = 839583360.

The previous prime is 2664869609. The next prime is 2664869617. The reversal of 2664869616 is 6169684662.

2664869616 is a `hidden beast` number, since 2 + 66 + 486 + 96 + 16 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664869617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185011 + ... + 198893.

Almost surely, 22664869616 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 2664869616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939057408).

2664869616 is an abundant number, since it is smaller than the sum of its proper divisors (5213245200).

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

2664869616 is a wasteful number, since it uses less digits than its factorization.

2664869616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13971 (or 13962 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 2664869616 is about 51622.3751487666. The cubic root of 2664869616 is about 1386.4109773670.

The spelling of 2664869616 in words is "two billion, six hundred sixty-four million, eight hundred sixty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 43 48 62 72 86 93 124 129 144 172 186 248 258 279 344 372 387 496 516 558 688 744 774 1032 1116 1333 1488 1548 2064 2232 2666 3096 3999 4464 5332 6192 7998 10664 11997 13883 15996 21328 23994 27766 31992 41649 47988 55532 63984 83298 95976 111064 124947 166596 191952 222128 249894 333192 430373 499788 596969 666384 860746 999576 1193938 1291119 1721492 1790907 1999152 2387876 2582238 3442984 3581814 3873357 4775752 5164476 5372721 6885968 7163628 7746714 9551504 10328952 10745442 14327256 15493428 18506039 20657904 21490884 28654512 30986856 37012078 42981768 55518117 61973712 74024156 85963536 111036234 148048312 166554351 222072468 296096624 333108702 444144936 666217404 888289872 1332434808 2664869616