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2719922016 = 25377395477
BaseRepresentation
bin1010001000011110…
…1011011101100000
321000120000100120110
42202013223131200
521032300001031
61125521211320
7124254645540
oct24207533540
97016010513
102719922016
111176363739
1263aa90b40
13344670516
141bb33b320
1510dbbcc46
hexa21eb760

2719922016 has 96 divisors (see below), whose sum is σ = 8172299520. Its totient is φ = 775927296.

The previous prime is 2719922003. The next prime is 2719922027. The reversal of 2719922016 is 6102299172.

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

It is a congruent number.

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, 493870 + ... + 499346.

It is an arithmetic number, because the mean of its divisors is an integer number (85128120).

Almost surely, 22719922016 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 2719922016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086149760).

2719922016 is an abundant number, since it is smaller than the sum of its proper divisors (5452377504).

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

2719922016 is a wasteful number, since it uses less digits than its factorization.

2719922016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6236 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 2719922016 is about 52152.8715987912. The cubic root of 2719922016 is about 1395.8930687683.

The spelling of 2719922016 in words is "two billion, seven hundred nineteen million, nine hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 739 1478 2217 2956 4434 5173 5477 5912 8868 10346 10954 11824 15519 16431 17736 20692 21908 23648 31038 32862 35472 38339 41384 43816 62076 65724 70944 76678 82768 87632 115017 124152 131448 153356 165536 175264 230034 248304 262896 306712 460068 496608 525792 613424 920136 1226848 1840272 3680544 4047503 8095006 12142509 16190012 24285018 28332521 32380024 48570036 56665042 64760048 84997563 97140072 113330084 129520096 169995126 194280144 226660168 339990252 388560288 453320336 679980504 906640672 1359961008 2719922016