Search a number
-
+
64779002064 = 2432783976597
BaseRepresentation
bin111100010101001000…
…010010000011010000
320012012120010021010200
4330111020102003100
52030131411031224
645431542455200
74452166301220
oct742510220320
9205176107120
1064779002064
1125522070047
121067a434500
13615488c06a
1431c7468080
151a420a35c9
hexf152120d0

64779002064 has 120 divisors (see below), whose sum is σ = 207439639680. Its totient is φ = 18485985024.

The previous prime is 64779002063. The next prime is 64779002077. The reversal of 64779002064 is 46020097746.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64779002063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807414 + ... + 884010.

It is an arithmetic number, because the mean of its divisors is an integer number (1728663664).

Almost surely, 264779002064 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 64779002064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103719819840).

64779002064 is an abundant number, since it is smaller than the sum of its proper divisors (142660637616).

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

64779002064 is a wasteful number, since it uses less digits than its factorization.

64779002064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77457 (or 77448 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 64779002064 in words is "sixty-four billion, seven hundred seventy-nine million, two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 839 1008 1678 2517 3356 5034 5873 6712 7551 10068 11746 13424 15102 17619 20136 23492 30204 35238 40272 46984 52857 60408 70476 76597 93968 105714 120816 140952 153194 211428 229791 281904 306388 422856 459582 536179 612776 689373 845712 919164 1072358 1225552 1378746 1608537 1838328 2144716 2757492 3217074 3676656 4289432 4825611 5514984 6434148 8578864 9651222 11029968 12868296 19302444 25736592 38604888 64264883 77209776 128529766 192794649 257059532 385589298 449854181 514119064 578383947 771178596 899708362 1028238128 1156767894 1349562543 1542357192 1799416724 2313535788 2699125086 3084714384 3598833448 4048687629 4627071576 5398250172 7197666896 8097375258 9254143152 10796500344 16194750516 21593000688 32389501032 64779002064