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2732669856 = 253272695039
BaseRepresentation
bin1010001011100001…
…0011101110100000
321001110000000022200
42202320103232200
521044030413411
61131054333200
7124501211340
oct24270235640
97043000280
102732669856
111182580344
126431ba200
133471b4a17
141bccd8d20
1510ed89e56
hexa2e13ba0

2732669856 has 144 divisors (see below), whose sum is σ = 8915961600. Its totient is φ = 777705984.

The previous prime is 2732669843. The next prime is 2732669857. The reversal of 2732669856 is 6589662372.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2732669857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539785 + ... + 544823.

It is an arithmetic number, because the mean of its divisors is an integer number (61916400).

Almost surely, 22732669856 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 2732669856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457980800).

2732669856 is an abundant number, since it is smaller than the sum of its proper divisors (6183291744).

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

2732669856 is a wasteful number, since it uses less digits than its factorization.

2732669856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5331 (or 5320 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 2732669856 is about 52274.9448206308. The cubic root of 2732669856 is about 1398.0704465719.

The spelling of 2732669856 in words is "two billion, seven hundred thirty-two million, six hundred sixty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 269 288 336 504 538 672 807 1008 1076 1614 1883 2016 2152 2421 3228 3766 4304 4842 5039 5649 6456 7532 8608 9684 10078 11298 12912 15064 15117 16947 19368 20156 22596 25824 30128 30234 33894 35273 38736 40312 45192 45351 60256 60468 67788 70546 77472 80624 90384 90702 105819 120936 135576 141092 161248 180768 181404 211638 241872 271152 282184 317457 362808 423276 483744 542304 564368 634914 725616 846552 1128736 1269828 1355491 1451232 1693104 2539656 2710982 3386208 4066473 5079312 5421964 8132946 9488437 10158624 10843928 12199419 16265892 18976874 21687856 24398838 28465311 32531784 37953748 43375712 48797676 56930622 65063568 75907496 85395933 97595352 113861244 130127136 151814992 170791866 195190704 227722488 303629984 341583732 390381408 455444976 683167464 910889952 1366334928 2732669856