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6916945194456 = 23311180120277177
BaseRepresentation
bin110010010100111101000…
…0011111010110111011000
3220111020211210200200222020
41210221322003322313120
51401311400432210311
622413333432454440
71312506231032043
oct144517203726730
926436753620866
106916945194456
112227507268690
12938672b4a420
133b235a66078b
1419cad38a9c5a
15bedd3e62c06
hex64a7a0fadd8

6916945194456 has 128 divisors (see below), whose sum is σ = 18886813320960. Its totient is φ = 2093554944000.

The previous prime is 6916945194443. The next prime is 6916945194559. The reversal of 6916945194456 is 6544915496196.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 963761940 + ... + 963769116.

It is an arithmetic number, because the mean of its divisors is an integer number (147553229070).

Almost surely, 26916945194456 is an apocalyptic number.

6916945194456 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6916945194456 is an abundant number, since it is smaller than the sum of its proper divisors (11969868126504).

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

6916945194456 is a wasteful number, since it uses less digits than its factorization.

6916945194456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11025 (or 11021 counting only the distinct ones).

The product of its digits is 251942400, while the sum is 69.

The spelling of 6916945194456 in words is "six trillion, nine hundred sixteen billion, nine hundred forty-five million, one hundred ninety-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1801 2027 3602 4054 5403 6081 7177 7204 8108 10806 12162 14354 14408 16216 19811 21531 21612 22297 24324 28708 39622 43062 43224 44594 48648 57416 59433 66891 78947 79244 86124 89188 118866 133782 157894 158488 172248 178376 236841 237732 267564 315788 473682 475464 535128 631576 947364 1894728 3650627 7301254 10951881 12925777 14547779 14602508 21903762 25851554 29095558 29205016 38777331 40156897 43643337 43807524 51703108 58191116 77554662 80313794 87286674 87615048 103406216 116382232 120470691 142183547 155109324 160025569 160627588 174573348 240941382 284367094 310218648 320051138 321255176 349146696 426550641 480076707 481882764 568734188 640102276 853101282 960153414 963765528 1137468376 1280204552 1706202564 1920306828 3412405128 3840613656 26200549979 52401099958 78601649937 104802199916 157203299874 209604399832 288206049769 314406599748 576412099538 628813199496 864618149307 1152824199076 1729236298614 2305648398152 3458472597228 6916945194456