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2899055664 = 243346114557
BaseRepresentation
bin1010110011001100…
…0001010000110000
321111001002021202000
42230303001100300
521414124240124
61155400454000
7131561365221
oct25463012060
97431067660
102899055664
11125849447a
1268aa7a300
133727ccc6b
141d704b248
1511e7a46c9
hexaccc1430

2899055664 has 80 divisors (see below), whose sum is σ = 8339987040. Its totient is φ = 964189440.

The previous prime is 2899055647. The next prime is 2899055707. The reversal of 2899055664 is 4665509982.

It is a happy number.

2899055664 is a `hidden beast` number, since 2 + 89 + 9 + 0 + 556 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2899055664.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191874 + ... + 206430.

It is an arithmetic number, because the mean of its divisors is an integer number (104249838).

Almost surely, 22899055664 is an apocalyptic number.

2899055664 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 2899055664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169993520).

2899055664 is an abundant number, since it is smaller than the sum of its proper divisors (5440931376).

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

2899055664 is a wasteful number, since it uses less digits than its factorization.

2899055664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15035 (or 15023 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 2899055664 is about 53842.8794178023. The cubic root of 2899055664 is about 1425.8883413860. Note that the first 3 decimals are identical.

The spelling of 2899055664 in words is "two billion, eight hundred ninety-nine million, fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 461 922 1383 1844 2766 3688 4149 5532 7376 8298 11064 12447 14557 16596 22128 24894 29114 33192 43671 49788 58228 66384 87342 99576 116456 131013 174684 199152 232912 262026 349368 393039 524052 698736 786078 1048104 1572156 2096208 3144312 6288624 6710777 13421554 20132331 26843108 40264662 53686216 60396993 80529324 107372432 120793986 161058648 181190979 241587972 322117296 362381958 483175944 724763916 966351888 1449527832 2899055664