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13950482256 = 24361196029
BaseRepresentation
bin11001111111000001…
…10111011101010000
31100000020021221000000
430333200313131100
5212032310413011
610224143130000
71002464066634
oct147740673520
940006257000
1013950482256
115a09757887
122853ba3900
131414292139
14964aa6dc4
15569b01356
hex33f837750

13950482256 has 70 divisors (see below), whose sum is σ = 40525084490. Its totient is φ = 4650156864.

The previous prime is 13950482207. The next prime is 13950482269. The reversal of 13950482256 is 65228405931.

13950482256 is a `hidden beast` number, since 1 + 395 + 0 + 4 + 8 + 2 + 256 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13529411856 + 421070400 = 116316^2 + 20520^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 586351 + ... + 609678.

Almost surely, 213950482256 is an apocalyptic number.

13950482256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13950482256 is an abundant number, since it is smaller than the sum of its proper divisors (26574602234).

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

13950482256 is an equidigital number, since it uses as much as digits as its factorization.

13950482256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196055 (or 1196034 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 13950482256 in words is "thirteen billion, nine hundred fifty million, four hundred eighty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 1196029 2392058 3588087 4784116 7176174 9568232 10764261 14352348 19136464 21528522 28704696 32292783 43057044 57409392 64585566 86114088 96878349 129171132 172228176 193756698 258342264 290635047 387513396 516684528 581270094 775026792 871905141 1162540188 1550053584 1743810282 2325080376 3487620564 4650160752 6975241128 13950482256