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2068696416 = 25361457773
BaseRepresentation
bin111101101001101…
…1100110101100000
312100011121122222210
41323103130311200
513214041241131
6541135202120
7102156425613
oct17323346540
95304548883
102068696416
119717a8266
12498976340
1326c77a727
14158a5c17a
15c1932146
hex7b4dcd60

2068696416 has 96 divisors (see below), whose sum is σ = 5538583008. Its totient is φ = 675901440.

The previous prime is 2068696403. The next prime is 2068696423. The reversal of 2068696416 is 6146968602.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2675806 + ... + 2676578.

It is an arithmetic number, because the mean of its divisors is an integer number (57693573).

Almost surely, 22068696416 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 2068696416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769291504).

2068696416 is an abundant number, since it is smaller than the sum of its proper divisors (3469886592).

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

2068696416 is a wasteful number, since it uses less digits than its factorization.

2068696416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 2068696416 is about 45482.9244442351. The cubic root of 2068696416 is about 1274.1843130277.

The spelling of 2068696416 in words is "two billion, sixty-eight million, six hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 457 488 732 773 914 976 1371 1464 1546 1828 1952 2319 2742 2928 3092 3656 4638 5484 5856 6184 7312 9276 10968 12368 14624 18552 21936 24736 27877 37104 43872 47153 55754 74208 83631 94306 111508 141459 167262 188612 223016 282918 334524 353261 377224 446032 565836 669048 706522 754448 892064 1059783 1131672 1338096 1413044 1508896 2119566 2263344 2676192 2826088 4239132 4526688 5652176 8478264 11304352 16956528 21548921 33913056 43097842 64646763 86195684 129293526 172391368 258587052 344782736 517174104 689565472 1034348208 2068696416