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2079688464 = 243274347981
BaseRepresentation
bin111101111110101…
…1000011100010000
312100221022010020200
41323331120130100
513224400012324
6542210535200
7102352026450
oct17375303420
95327263220
102079688464
11977a257a7
124a0597500
13271b289b9
1415a2bdd60
15c28a3ec9
hex7bf58710

2079688464 has 120 divisors (see below), whose sum is σ = 6806534592. Its totient is φ = 580366080.

The previous prime is 2079688447. The next prime is 2079688493. The reversal of 2079688464 is 4648869702.

It is a self number, because there is not a number n which added to its sum of digits gives 2079688464.

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 23 ways as a sum of consecutive naturals, for example, 19354 + ... + 67334.

Almost surely, 22079688464 is an apocalyptic number.

2079688464 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 2079688464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403267296).

2079688464 is an abundant number, since it is smaller than the sum of its proper divisors (4726846128).

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

2079688464 is a wasteful number, since it uses less digits than its factorization.

2079688464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48045 (or 48036 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 2079688464 is about 45603.6014367287. The cubic root of 2079688464 is about 1276.4371264663.

The spelling of 2079688464 in words is "two billion, seventy-nine million, six hundred eighty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 84 86 112 126 129 144 168 172 252 258 301 336 344 387 504 516 602 688 774 903 1008 1032 1204 1548 1806 2064 2408 2709 3096 3612 4816 5418 6192 7224 10836 14448 21672 43344 47981 95962 143943 191924 287886 335867 383848 431829 575772 671734 767696 863658 1007601 1151544 1343468 1727316 2015202 2063183 2303088 2686936 3022803 3454632 4030404 4126366 5373872 6045606 6189549 6909264 8060808 8252732 12091212 12379098 14442281 16121616 16505464 18568647 24182424 24758196 28884562 33010928 37137294 43326843 48364848 49516392 57769124 74274588 86653686 99032784 115538248 129980529 148549176 173307372 231076496 259961058 297098352 346614744 519922116 693229488 1039844232 2079688464