Search a number
-
+
64693439646 = 23112736072011
BaseRepresentation
bin111100010000000001…
…111000110010011110
320011222121010020120020
4330100001320302132
52024443010032041
645415244533010
74450110110133
oct742001706236
9204877106506
1064693439646
112548883a800
1210655851166
13613cc31c04
1431b9d5458a
151a39801866
hexf10078c9e

64693439646 has 96 divisors (see below), whose sum is σ = 144476150784. Its totient is φ = 19294070400.

The previous prime is 64693439639. The next prime is 64693439647.

64693439646 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×646934396462 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64693439646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64693439647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32168781 + ... + 32170791.

It is an arithmetic number, because the mean of its divisors is an integer number (1504959904).

Almost surely, 264693439646 is an apocalyptic number.

64693439646 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64693439646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72238075392).

64693439646 is an abundant number, since it is smaller than the sum of its proper divisors (79782711138).

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

64693439646 is a wasteful number, since it uses less digits than its factorization.

64693439646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 2707 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 60.

The spelling of 64693439646 in words is "sixty-four billion, six hundred ninety-three million, four hundred thirty-nine thousand, six hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 73 121 146 219 242 363 438 607 726 803 1214 1606 1821 2011 2409 3642 4022 4818 6033 6677 8833 12066 13354 17666 20031 22121 26499 40062 44242 44311 52998 66363 73447 88622 132726 132933 146803 146894 220341 243331 265866 293606 440409 440682 486662 487421 729993 880818 974842 1220677 1459986 1462263 1614833 2441354 2924526 3229666 3662031 4844499 5361631 7324062 9688998 10723262 13427447 16084893 17763163 26854894 32169786 35526326 40282341 53289489 80564682 89109421 106578978 147701917 178218842 267328263 295403834 443105751 534656526 886211502 980203631 1960407262 2940610893 5881221786 10782239941 21564479882 32346719823 64693439646