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3688252656 = 243116985327
BaseRepresentation
bin1101101111010110…
…0100010011110000
3100112001002122111020
43123311210103300
530023143041111
61405552015440
7160253426124
oct33365442360
910461078436
103688252656
111622a168a0
1286b231580
1346a16c92a
1426dba3584
15168be5906
hexdbd644f0

3688252656 has 40 divisors (see below), whose sum is σ = 10394168064. Its totient is φ = 1117652160.

The previous prime is 3688252639. The next prime is 3688252661. The reversal of 3688252656 is 6562528863.

It is a junction number, because it is equal to n+sod(n) for n = 3688252599 and 3688252608.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3492136 + ... + 3493191.

Almost surely, 23688252656 is an apocalyptic number.

It is an amenable number.

3688252656 is an abundant number, since it is smaller than the sum of its proper divisors (6705915408).

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

3688252656 is a wasteful number, since it uses less digits than its factorization.

3688252656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6985349 (or 6985343 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 51.

The square root of 3688252656 is about 60730.9859626863. The cubic root of 3688252656 is about 1545.0417567081.

The spelling of 3688252656 in words is "three billion, six hundred eighty-eight million, two hundred fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 6985327 13970654 20955981 27941308 41911962 55882616 76838597 83823924 111765232 153677194 167647848 230515791 307354388 335295696 461031582 614708776 922063164 1229417552 1844126328 3688252656