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3693013664 = 254113121487
BaseRepresentation
bin1101110000011110…
…1110101010100000
3100112101001112100212
43130013232222200
530030402414124
61410242033252
7160342045454
oct33407565240
910471045325
103693013664
11162567890a
12870948828
1346b1489b2
14270682664
1516933640e
hexdc1eeaa0

3693013664 has 48 divisors (see below), whose sum is σ = 7505156736. Its totient is φ = 1787635200.

The previous prime is 3693013637. The next prime is 3693013691. The reversal of 3693013664 is 4663103963.

3693013664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3693013637) and next prime (3693013691).

It is a Harshad number since it is a multiple of its sum of digits (41).

Together with 3812143072 it forms an amicable pair .

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, 161129 + ... + 182615.

It is an arithmetic number, because the mean of its divisors is an integer number (156357432).

Almost surely, 23693013664 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 3693013664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752578368).

3693013664 is an abundant number, since it is smaller than the sum of its proper divisors (3812143072).

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

3693013664 is a wasteful number, since it uses less digits than its factorization.

3693013664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21669 (or 21661 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 41.

The square root of 3693013664 is about 60770.1708406353. The cubic root of 3693013664 is about 1545.7062803506.

The spelling of 3693013664 in words is "three billion, six hundred ninety-three million, thirteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 82 131 164 262 328 524 656 1048 1312 2096 4192 5371 10742 21484 21487 42968 42974 85936 85948 171872 171896 343792 687584 880967 1761934 2814797 3523868 5629594 7047736 11259188 14095472 22518376 28190944 45036752 90073504 115406677 230813354 461626708 923253416 1846506832 3693013664