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3868454464 = 26725733599
BaseRepresentation
bin1110011010010011…
…1110111001000000
3100222121011211220021
43212210332321000
530410311020324
61435510223224
7164602214620
oct34644767100
910877154807
103868454464
111705707106
128bb654b14
134985b4614
14289ab0880
1517993dae4
hexe693ee40

3868454464 has 56 divisors (see below), whose sum is σ = 8807500800. Its totient is φ = 1651408896.

The previous prime is 3868454453. The next prime is 3868454489. The reversal of 3868454464 is 4644548683.

3868454464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

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, 98337 + ... + 131935.

It is an arithmetic number, because the mean of its divisors is an integer number (157276800).

Almost surely, 23868454464 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 3868454464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403750400).

3868454464 is an abundant number, since it is smaller than the sum of its proper divisors (4939046336).

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

3868454464 is a wasteful number, since it uses less digits than its factorization.

3868454464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33875 (or 33865 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 52.

The square root of 3868454464 is about 62196.9007587999. The cubic root of 3868454464 is about 1569.8054398037.

The spelling of 3868454464 in words is "three billion, eight hundred sixty-eight million, four hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 257 448 514 1028 1799 2056 3598 4112 7196 8224 14392 16448 28784 33599 57568 67198 115136 134396 235193 268792 470386 537584 940772 1075168 1881544 2150336 3763088 7526176 8634943 15052352 17269886 34539772 60444601 69079544 120889202 138159088 241778404 276318176 483556808 552636352 967113616 1934227232 3868454464