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6944540454496 = 2519293112705163
BaseRepresentation
bin110010100001110011011…
…0111011110111001100000
3220120220001222001011021101
41211003212313132321200
51402234404324020441
622434140003004144
71314504120623161
oct145034667367140
926526058034241
106944540454496
112238188051a17
12941a94669654
133b4b3776a608
141a01907bd768
15c099b8cb231
hex650e6ddee60

6944540454496 has 96 divisors (see below), whose sum is σ = 15368166374400. Its totient is φ = 3073632791040.

The previous prime is 6944540454491. The next prime is 6944540454503.

6944540454496 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×69445404544962 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6944540454491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5805990 + ... + 6899173.

It is an arithmetic number, because the mean of its divisors is an integer number (160085066400).

Almost surely, 26944540454496 is an apocalyptic number.

It is an amenable number.

6944540454496 is an abundant number, since it is smaller than the sum of its proper divisors (8423625919904).

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

6944540454496 is a wasteful number, since it uses less digits than its factorization.

6944540454496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12705252 (or 12705244 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 64.

The spelling of 6944540454496 in words is "six trillion, nine hundred forty-four billion, five hundred forty million, four hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 19 29 31 32 38 58 62 76 116 124 152 232 248 304 464 496 551 589 608 899 928 992 1102 1178 1798 2204 2356 3596 4408 4712 7192 8816 9424 14384 17081 17632 18848 28768 34162 68324 136648 273296 546592 12705163 25410326 50820652 101641304 203282608 241398097 368449727 393860053 406565216 482796194 736899454 787720106 965592388 1473798908 1575440212 1931184776 2947597816 3150880424 3862369552 5895195632 6301760848 7000544813 7483341007 7724739104 11421941537 11790391264 12603521696 14001089626 14966682014 22843883074 28002179252 29933364028 45687766148 56004358504 59866728056 91375532296 112008717008 119733456112 182751064592 217016889203 224017434016 239466912224 365502129184 434033778406 868067556812 1736135113624 3472270227248 6944540454496