Search a number
-
+
64454855845446 = 232113723933676597
BaseRepresentation
bin11101010011111000100001…
…10010010110011001000110
322110012211020201121021012200
432221330100302112121012
531422012021044023241
6345030052455455330
716401465262020243
oct1651742062263106
9273184221537180
1064454855845446
11195a0172876730
12728b948987546
1329c70b3a804b1
1411cb8bb4245ca
1576b94327a4b6
hex3a9f10c96646

64454855845446 has 96 divisors (see below), whose sum is σ = 156530777483808. Its totient is φ = 18995942085120.

The previous prime is 64454855845423. The next prime is 64454855845607.

64454855845446 is a `hidden beast` number, since 6 + 4 + 4 + 5 + 4 + 85 + 58 + 454 + 46 = 666.

64454855845446 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15692820 + ... + 19369416.

It is an arithmetic number, because the mean of its divisors is an integer number (1630528932123).

Almost surely, 264454855845446 is an apocalyptic number.

64454855845446 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 64454855845446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78265388741904).

64454855845446 is an abundant number, since it is smaller than the sum of its proper divisors (92075921638362).

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

64454855845446 is a wasteful number, since it uses less digits than its factorization.

64454855845446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3679046 (or 3679043 counting only the distinct ones).

The product of its digits is 5898240000, while the sum is 72.

The spelling of 64454855845446 in words is "sixty-four trillion, four hundred fifty-four billion, eight hundred fifty-five million, eight hundred forty-five thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2393 2442 3663 4786 7179 7326 14358 21537 26323 43074 52646 78969 88541 157938 177082 236907 265623 473814 531246 796869 973951 1593738 1947902 2921853 3676597 5843706 7353194 8765559 11029791 17531118 22059582 33089373 40442567 66178746 80885134 121327701 136034089 242655402 272068178 363983103 408102267 727966206 816204534 1224306801 1496374979 2448613602 2992749958 4489124937 8798096621 8978249874 13467374811 17596193242 26394289863 26934749622 52788579726 79182869589 96779062831 158365739178 193558125662 290337188493 325529574977 580674376986 651059149954 871011565479 976588724931 1742023130958 1953177449862 2929766174793 3580825324747 5859532349586 7161650649494 10742475974241 21484951948482 32227427922723 64454855845446