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3685370000 = 24541328349
BaseRepresentation
bin1101101110101010…
…0100100010010000
3100111211200012020012
43123222210202100
530021423320000
61405410134052
7160220061644
oct33352444220
910454605205
103685370000
111621328034
1286a281328
134696a0810
1426d652c24
15168826735
hexdbaa4890

3685370000 has 100 divisors (see below), whose sum is σ = 9609345900. Its totient is φ = 1360704000.

The previous prime is 3685369991. The next prime is 3685370011. The reversal of 3685370000 is 735863.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 3684975616 + 394384 = 60704^2 + 628^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 115826 + ... + 144174.

It is an arithmetic number, because the mean of its divisors is an integer number (96093459).

Almost surely, 23685370000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3685370000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804672950).

3685370000 is an abundant number, since it is smaller than the sum of its proper divisors (5923975900).

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

3685370000 is a wasteful number, since it uses less digits than its factorization.

3685370000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28390 (or 28369 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 3685370000 is about 60707.2483316449. The cubic root of 3685370000 is about 1544.6391284044.

The spelling of 3685370000 in words is "three billion, six hundred eighty-five million, three hundred seventy thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 28349 32500 56698 65000 113396 130000 141745 226792 283490 368537 453584 566980 708725 737074 1133960 1417450 1474148 1842685 2267920 2834900 2948296 3543625 3685370 5669800 5896592 7087250 7370740 9213425 11339600 14174500 14741480 17718125 18426850 28349000 29482960 35436250 36853700 46067125 56698000 70872500 73707400 92134250 141745000 147414800 184268500 230335625 283490000 368537000 460671250 737074000 921342500 1842685000 3685370000