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14949351648 = 2532711674123
BaseRepresentation
bin11011110110000110…
…10000000011100000
31102120211211202012200
431323003100003200
5221104013223043
610511224253200
71036313251410
oct157303200340
942524752180
1014949351648
116381579180
122a92611200
1315431c480a
14a1b5dc640
155c765c7d3
hex37b0d00e0

14949351648 has 144 divisors (see below), whose sum is σ = 53002325376. Its totient is φ = 3882942720.

The previous prime is 14949351629. The next prime is 14949351671. The reversal of 14949351648 is 84615394941.

14949351648 is a `hidden beast` number, since 1 + 49 + 49 + 3 + 516 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×149493516482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14949351594 and 14949351603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314886 + ... + 359237.

It is an arithmetic number, because the mean of its divisors is an integer number (368071704).

Almost surely, 214949351648 is an apocalyptic number.

14949351648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14949351648 is an abundant number, since it is smaller than the sum of its proper divisors (38052973728).

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

14949351648 is a wasteful number, since it uses less digits than its factorization.

14949351648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674157 (or 674146 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 14949351648 in words is "fourteen billion, nine hundred forty-nine million, three hundred fifty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 22176 674123 1348246 2022369 2696492 4044738 4718861 5392984 6067107 7415353 8089476 9437722 10785968 12134214 14156583 14830706 16178952 18875444 21571936 22246059 24268428 28313166 29661412 32357904 37750888 42469749 44492118 48536856 51907471 56626332 59322824 64715808 66738177 75501776 84939498 88984236 97073712 103814942 113252664 118645648 133476354 151003552 155722413 169878996 177968472 194147424 207629884 226505328 237291296 266952708 311444826 339757992 355936944 415259768 453010656 467167239 533905416 622889652 679515984 711873888 830519536 934334478 1067810832 1245779304 1359031968 1661039072 1868668956 2135621664 2491558608 3737337912 4983117216 7474675824 14949351648