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63729093312 = 2632234810469
BaseRepresentation
bin111011010110100011…
…001100101011000000
320002111101112101002100
4323112203030223000
52021004121441222
645135435350400
74414160232603
oct732643145300
9202441471070
1063729093312
1125033459065
12104268b2400
1360181c9191
143127c4833a
1519ced144ac
hexed68ccac0

63729093312 has 84 divisors (see below), whose sum is σ = 190610063280. Its totient is φ = 20319416832.

The previous prime is 63729093277. The next prime is 63729093317. The reversal of 63729093312 is 21339092736.

63729093312 is a `hidden beast` number, since 637 + 2 + 9 + 0 + 9 + 3 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×637290933122 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63729093317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2391987 + ... + 2418482.

It is an arithmetic number, because the mean of its divisors is an integer number (2269167420).

Almost surely, 263729093312 is an apocalyptic number.

It is an amenable number.

63729093312 is an abundant number, since it is smaller than the sum of its proper divisors (126880969968).

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

63729093312 is a wasteful number, since it uses less digits than its factorization.

63729093312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810510 (or 4810497 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 63729093312 in words is "sixty-three billion, seven hundred twenty-nine million, ninety-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 4810469 9620938 14431407 19241876 28862814 38483752 43294221 57725628 76967504 86588442 110640787 115451256 153935008 173176884 221281574 230902512 307870016 331922361 346353768 442563148 461805024 663844722 692707536 885126296 923610048 995767083 1327689444 1385415072 1770252592 1991534166 2655378888 2770830144 3540505184 3983068332 5310757776 7081010368 7966136664 10621515552 15932273328 21243031104 31864546656 63729093312