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3821653216 = 253119319961
BaseRepresentation
bin1110001111001001…
…1100110011100000
3100212100010002122201
43203302130303200
530311320400331
61431115142544
7163463342053
oct34362346340
910770102581
103821653216
111691250697
128a7a44a54
1348b9a9184
142837aaa9a
15175796a61
hexe3c9cce0

3821653216 has 48 divisors (see below), whose sum is σ = 7807218048. Its totient is φ = 1839513600.

The previous prime is 3821653201. The next prime is 3821653249. The reversal of 3821653216 is 6123561283.

3821653216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181476 + ... + 201436.

It is an arithmetic number, because the mean of its divisors is an integer number (162650376).

Almost surely, 23821653216 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 3821653216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903609024).

3821653216 is an abundant number, since it is smaller than the sum of its proper divisors (3985564832).

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

3821653216 is a wasteful number, since it uses less digits than its factorization.

3821653216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20195 (or 20187 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 3821653216 is about 61819.5213181079. The cubic root of 3821653216 is about 1563.4491424168.

The spelling of 3821653216 in words is "three billion, eight hundred twenty-one million, six hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 124 193 248 386 496 772 992 1544 3088 5983 6176 11966 19961 23932 39922 47864 79844 95728 159688 191456 319376 618791 638752 1237582 2475164 3852473 4950328 7704946 9900656 15409892 19801312 30819784 61639568 119426663 123279136 238853326 477706652 955413304 1910826608 3821653216