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2634305294064 = 2431925711239271
BaseRepresentation
bin100110010101011000110…
…101001100111011110000
3100022211121021011102000010
4212111120311030323300
5321130024123402224
65334103320454520
7361215353354463
oct46253065147360
910284537142003
102634305294064
11926225731584
1236666761a440
1316154c50aa42
1491702c832da
15487ce901e29
hex26558d4cef0

2634305294064 has 80 divisors (see below), whose sum is σ = 7191335796480. Its totient is φ = 828648898560.

The previous prime is 2634305294063. The next prime is 2634305294077. The reversal of 2634305294064 is 4604925034362.

2634305294064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2634305294063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5385252 + ... + 5854019.

It is an arithmetic number, because the mean of its divisors is an integer number (89891697456).

Almost surely, 22634305294064 is an apocalyptic number.

2634305294064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2634305294064 is an abundant number, since it is smaller than the sum of its proper divisors (4557030502416).

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

2634305294064 is a wasteful number, since it uses less digits than its factorization.

2634305294064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11239558 (or 11239552 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 2634305294064 in words is "two trillion, six hundred thirty-four billion, three hundred five million, two hundred ninety-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 257 304 456 514 771 912 1028 1542 2056 3084 4112 4883 6168 9766 12336 14649 19532 29298 39064 58596 78128 117192 234384 11239271 22478542 33717813 44957084 67435626 89914168 134871252 179828336 213546149 269742504 427092298 539485008 640638447 854184596 1281276894 1708369192 2562553788 2888492647 3416738384 5125107576 5776985294 8665477941 10250215152 11553970588 17330955882 23107941176 34661911764 46215882352 54881360293 69323823528 109762720586 138647647056 164644080879 219525441172 329288161758 439050882344 658576323516 878101764688 1317152647032 2634305294064