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3688913700 = 2232524098793
BaseRepresentation
bin1101101111100000…
…0101101100100100
3100112002100020021100
43123320011230210
530023330214300
61410014120100
7160262151303
oct33370055444
910462306240
103688913700
11162332850a
1286b4b0030
1346a341794
1426dcd643a
15168cc6700
hexdbe05b24

3688913700 has 54 divisors (see below), whose sum is σ = 11562697874. Its totient is φ = 983710080.

The previous prime is 3688913693. The next prime is 3688913747. The reversal of 3688913700 is 73198863.

It is a happy number.

3688913700 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 327465216 + 3361448484 = 18096^2 + 57978^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2048497 + ... + 2050296.

Almost surely, 23688913700 is an apocalyptic number.

3688913700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3688913700 is an abundant number, since it is smaller than the sum of its proper divisors (7873784174).

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

3688913700 is a wasteful number, since it uses less digits than its factorization.

3688913700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098813 (or 4098803 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3688913700 is about 60736.4281136123. The cubic root of 3688913700 is about 1545.1340569259.

The spelling of 3688913700 in words is "three billion, six hundred eighty-eight million, nine hundred thirteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 4098793 8197586 12296379 16395172 20493965 24592758 36889137 40987930 49185516 61481895 73778274 81975860 102469825 122963790 147556548 184445685 204939650 245927580 307409475 368891370 409879300 614818950 737782740 922228425 1229637900 1844456850 3688913700