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3681415000 = 23541395297
BaseRepresentation
bin1101101101101101…
…1110111101011000
3100111120020020222201
43123123132331120
530014420240000
61405145255544
7160141340224
oct33333367530
910446206881
103681415000
11161a07663a
12868a945b4
13468917593
1426cd03784
151682e496a
hexdb6def58

3681415000 has 80 divisors (see below), whose sum is σ = 8689249800. Its totient is φ = 1461696000.

The previous prime is 3681414973. The next prime is 3681415007. The reversal of 3681415000 is 5141863.

It is a self number, because there is not a number n which added to its sum of digits gives 3681415000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3681415007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 692352 + ... + 697648.

Almost surely, 23681415000 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 3681415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344624900).

3681415000 is an abundant number, since it is smaller than the sum of its proper divisors (5007834800).

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

3681415000 is a wasteful number, since it uses less digits than its factorization.

3681415000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 3681415000 is about 60674.6652236335. The cubic root of 3681415000 is about 1544.0863811552.

Adding to 3681415000 its reverse (5141863), we get a palindrome (3686556863).

The spelling of 3681415000 in words is "three billion, six hundred eighty-one million, four hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 139 200 250 278 500 556 625 695 1000 1112 1250 1390 2500 2780 3475 5000 5297 5560 6950 10594 13900 17375 21188 26485 27800 34750 42376 52970 69500 86875 105940 132425 139000 173750 211880 264850 347500 529700 662125 695000 736283 1059400 1324250 1472566 2648500 2945132 3310625 3681415 5297000 5890264 6621250 7362830 13242500 14725660 18407075 26485000 29451320 36814150 73628300 92035375 147256600 184070750 368141500 460176875 736283000 920353750 1840707500 3681415000