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5256106368 = 27379173263
BaseRepresentation
bin1001110010100100…
…11101000110000000
3111120022021212110020
410321102131012000
541231030400433
62225320333440
7244152111162
oct47122350600
914508255406
105256106368
112257a31567
121028314280
13659c2b816
1437c0ca932
1520b694cb3
hex13949d180

5256106368 has 64 divisors (see below), whose sum is σ = 14138342400. Its totient is φ = 1729847808.

The previous prime is 5256106343. The next prime is 5256106369. The reversal of 5256106368 is 8636016525.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5256106369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56296 + ... + 116967.

It is an arithmetic number, because the mean of its divisors is an integer number (220911600).

Almost surely, 25256106368 is an apocalyptic number.

It is an amenable number.

5256106368 is an abundant number, since it is smaller than the sum of its proper divisors (8882236032).

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

5256106368 is a wasteful number, since it uses less digits than its factorization.

5256106368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173359 (or 173347 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 5256106368 is about 72499.0094277156. The cubic root of 5256106368 is about 1738.6868993886.

The spelling of 5256106368 in words is "five billion, two hundred fifty-six million, one hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 5056 7584 10112 15168 30336 173263 346526 519789 693052 1039578 1386104 2079156 2772208 4158312 5544416 8316624 11088832 13687777 16633248 22177664 27375554 33266496 41063331 54751108 66532992 82126662 109502216 164253324 219004432 328506648 438008864 657013296 876017728 1314026592 1752035456 2628053184 5256106368